# How do you check the answer to a decimal multiplication problem plz explain your reasoning

118,728 results-
## math

Use the side lengths of the triangle to determine if the triangle is a right triangle. Explain your reasoning. someone PLZ help

*asked by Ciera fox🦊 on March 17, 2020* -
## math

I need someone to check a few answers for me, please! 1. Which expression has an approximate value between 6 and 7? Select two answers. A. √36*** B. √38 C. √42*** D. √50 2. How many decimal places does an irrational number have? A. zero B. one C.

*asked by Yui on March 6, 2020* -
## Geometry

1. Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Use the converse, biconditional, and at least one Euler diagram to support your answer. 2. Explain the purposes of inductive and deductive reasoning

*asked by Julie on December 9, 2010* -
## Math (Ms. Sue Please Help)

Determine whether the following statement makes sense or does not make sense, and explain your reasoning (modified from true/false format of text): If f(x) = 3x, then f^-1 (x) = 1/3x A) This makes sense because the inverse would divide by 3 to "undo" the

*asked by Christian on September 12, 2011* -
## science

2. Compare and contrast deductive reasoning and inductive reasoning. Based on the information given here, answer the following questions about the experiment: • What are the qualities of deductive reasoning? • What are the qualities of inductive

*asked by lily on May 4, 2017* -
## Please Help!!!!!!

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, explain your reasoning and use a graphical or

*asked by Anonymous on January 9, 2012* -
## Math

How can you check the answer to a decimal multiplication problem?

*asked by Alexis on October 12, 2014* -
## Math

marvin wrote the following clues to describe a multiplication sentence. the product is close in value to 10. both factors are decimal number.the product has 3 decimal places.one factor is greater than one . The other factor is less than 1. Explain how you

*asked by Carmen on November 22, 2016* -
## LIVING ENVIRONMENT

the ability to grow in size is a characteristic of living organism .Although an icicle may grow in size over time,it is considered nonliving because there is 1)an incerase in matter ,but no increase in the number of icicle. 2)an interaction between the

*asked by tania sharmin on February 12, 2013* -
## Math

I need help please thank you Show (2.3)(5.06) as fraction multiplication problem and explain why the number is inhundred-thousandths (five places)

*asked by Abbs on November 8, 2017* -
## Math: Homework Questons (answer quick)

Can you check if the answer is correct and of there any grammar mistakes. Write True or False and EXPLAIN your reasoning for the answer!!!! 8. (5 - 2) - 1 = 5 - (2 - 1) Answer: True Reason: The reason why my answer to this question is true is because when

*asked by Laruen on November 15, 2011* -
## Math

marvin wrote the following clues to describe a multiplication sentence. the product is close in value to 10. both factors are decimal number.the product has 3 decimal places.one factor is greater than one . The other factor is less than 1. Explain how you

*asked by Carmen on November 26, 2016* -
## multiplying fractions

write a word problem for 1/3 x 1/4 use the definition of multiplication and math drawing to help determine the answer. explain you answer.

*asked by bernadette on April 24, 2014* -
## Algebra

Create a real-life representation of the following multiplication problem. Explain what the result represents in the problem. 15(2/5)=6

*asked by Britney on January 13, 2017* -
## Data Management

At a banquet, 4 coupes are sitting along one side of a table with men & women alternating. a) how many seating arrangements are possible for these eight people? b) how many arrangements are possible if each couple sits together? explain your reasoning.

*asked by Anonymous on November 18, 2009* -
## Math

Hi, would someone mind just checking the answer I got for this formula and tell me if I'm on the right track or not. Question... x+y=21 3x=4y Answer I got... x=84 y= -63 I didn't get that. Check your math. I found 7y=63 but not y = 63. You can always check

*asked by Jessica on October 22, 2006* -
## biology

a boy inherits genes for tallness,but his growth is limited as a result of poor nitrition. this is an example of 1)an inherited disorder. 2)environmental influence on gene expression . 3)expression of a hidden trait 4)a characterstic controlled by more

*asked by tania sharmin on February 8, 2013* -
## Math

Check My Answer Please. Which statement is an example of the Identity Property of Multiplication? 8 • 0 = 0 8 • 1 = 8 8 • –1 = –8** –8 • –1 = 8

*asked by Lexii Jolly on August 29, 2016* -
## SS HELP PLZ ASAP

1) The science that studies population distribution and change is called _________(1 point) A. demography B. geography C. economy D. sociology 2) Canada is bigger than the united states, but only has _______ as many people.(1 point) A.one-half B.one-fourth

*asked by regan on November 2, 2015* -
## math 116

Solve using the multiplication principle Don't forget to preform a check 11x=-99 Would the answer be -9?

*asked by Katie on September 26, 2011* -
## Math

How do you check the answer to a decimal multiplication problem plz explain your reasoning

*asked by Caroline on December 3, 2017* -
## Math

How can you check the answer to a decimal multiplication problem

*asked by Caroline on December 3, 2017* -
## math

Explain how to use multiplication to check the answer to a division problem

*asked by pietro on September 19, 2014* -
## math

I still don't get it. I asked someone and they said that the answer was 111. ok, i got it but i still don't understand how to do it since i still have many more problems. could someone please thorougly explain to me in steps how to do a problem like: 12

*asked by shivangi on February 22, 2007* -
## Math

During decimal multiplication, we know that the placement of the decimal point in the product is decided by the sum of number of digits after the decimal point in both the factors being multiplied. I know that's what we do but i don't understand why this

*asked by HELP !!! on July 16, 2015* -
## math

how do u mutiply decimals and how do u make a decimal into a fraction do you mean long-hand?? write down the numbers the way you would whole numbers, skipping the decimal perform the multiplication as if you had no decimals count up the total number of

*asked by leelee on April 15, 2007* -
## math: and i really need help

3x(a-5)=6 What is the value of a ? 3x(a-5)=6 is x multiplication or variable multiplication Multiplication=* Division=/ 3x(a-5)=6 3*(a-5)=6 (3*a)+(3*5)=6 3a+15-15=6-15 3a=-9 3a/3=-9/3 a=-3 I hope this helps. I am not 100% sure this is right. Or it can be

*asked by pinkpolkadots7 on October 11, 2006* -
## Science

Explain the value or importance of using the International System of Units when describing motion. Provide an example that supports your reasoning. PLZ PLZ HELP ME!

*asked by Mary4everlife on May 12, 2018* -
## science

2. Compare and contrast deductive reasoning and inductive reasoning. Based on the information given here, answer the following questions about the experiment: • What are the qualities of deductive reasoning? • What are the qualities of inductive

*asked by mary on May 5, 2017* -
## Math 116

42/-6=-7 check these problem 3(c-5)= 3c-15= c= 3/15 C=5 Check this answer for me. Find decimal notation for the fraction -1/17. The decimal notation for the-1/17 is round to the nearest hundreth i get 589

*asked by Keaton on February 19, 2009* -
## SCIENCE!!--ANONYMOUS PLEASE ANSWER MY QUESTION!

plz answer the question we were talking about plz plz. Go back to the problem. I got 184 but the worksheet answer says 136 which is correct?? plz help!! thx

*asked by Happy Face on September 13, 2010* -
## Math

Q. When your doing a multiplication problem, for example 84 times 37 = 3,108, how do you check the answer without a calculator? - A. I'm kinda confused on how to check the answer, do i do 84 times 400??

*asked by Gigi on September 15, 2015* -
## Algebra2

i was wondering if someone could check the answer i got for this math problem 7+2(5-2*9) = 243 I got -19 I think you're supposed to do the parentheses first...but within that, you're supposed to do the multiplication and THEN the subtraction, and then mult

*asked by Anonymous on July 20, 2007* -
## Another Problem...PLz Help COunt Iblis

Statements Reasons 1. 3x - 7 = -4 2. 3x - 7 + 7 = -4 + 7 3. 3x + 0 = -4 + 7 4. 3x + 0 = 3 5. 3x = 3 6. (1/3) 3x = 3 (1/3) 7. (1/3) 3x = 1 8. 1x = 1 9. x = 1 Is this problem about explaining each step? yeah like you have to write the property of each Are

*asked by Margie... on December 2, 2006* -
## math,algebra

Directions:Multiply (-1/2)(-3/8) mY ANSWER : .1875 Now how do i turn this into a fraction. numerator multiplied: 3 denominator multiplied 16 3/16 How do you get to that answer because not every single one would be multiplied by the numerator 3. Can you

*asked by jasmine20 on December 12, 2006* -
## math

Drwls - totally confused me on how this problem is done. Can someone else help to solve this problem? If two numbers are relatively prime, what is their LCM? Explain the reasoning and give 2 examples supporting the answer.

*asked by Brandon on March 26, 2011* -
## Math

Explain how you can tell if your estimate answer is greater or less than exact answer to a multiplication problem

*asked by Honest on November 22, 2016* -
## math

Which ordered pair is not a solution of y = -12x - 3? a. (-3,33)* b. (8,-98) c.(-9, 105) d.(3,-39) plz check plz plz plz plz plz

*asked by alabama joe on March 15, 2019* -
## Math

Why is it not necessary to line up the decimal points in a multiplication problem?

*asked by Anonymous on June 8, 2019* -
## hello jishka maths tutor please help me

pls solve 4 v and explain (h^2.v"(x))/v(x))=h^2.a^2 where . denotes d multiplication sign plz help i dont know

*asked by danu on May 6, 2017* -
## mathematics

Choose the property illustrated by the following statement. (9•y)•6=9•(y•6) (A) Associative property of multiplication (B) commutative property of multiplication (C) distributive property (D) identity element of multiplication Could you explain how

*asked by Mads on September 5, 2018* -
## Mathematics

I have three questions... Okay think of a 1-9 multiplication table. 1. Are there more odd or even products? How can you determine the answer without counting? 2. Is this different from a 1-9 addition facts table? Explain. And for the last one don't use the

*asked by June on September 7, 2008* -
## Math

Check my answers please. 1)Which statement is an example of the Identity Property of Multiplication? a)8 • 0 = 0 b)8 • 1 = 8

*asked by _Nutuge_ on August 30, 2016* -
## chem

stilll didn't get it .. .. can u plz explain in detail ... how did u get the answer.. plz plz plz plz plzp l zp thnks Bond enthalpy is the energy required to break a mole of a certain type of bond. O=O = 495 kj/mol S-F = 327 kj/mol S=O = 523 kj/mol Use

*asked by DR BOOBB Plz HELP on November 12, 2008* -
## physics(URGENT!!!!!)

EDXers!!! Plz help with MITx 8.01x I don't know how to solve HW8 Problem 3 Question c) Can anybody help me???? Explain Plz

*asked by Anonimus on November 20, 2013* -
## math

Write the decimal representing 8/9. Explain your reasoning.

*asked by A on August 19, 2010* -
## geomatry

*asked by manal on October 23, 2011* -
## Algebra (please help)

Determine whether the following statement makes sense or does not make sense, and explain your reasoning (modified from true/false format of text): If f(x) = 3x, then f^-1(x) = 1/3x A) This makes sense because the inverse would divide by 3 to "undo" the

*asked by Christian on September 12, 2011* -
## algebra

i need you to check my answers for the following questions: use the table to answer problems 1 to 4. the table lists the commuting times for 5 people. write each ratio in the form a/b, and then as a decimal. tell whether each decimal is a terminating or a

*asked by anon on September 7, 2015* -
## Science

What type of scientific thinking did alfred wegener employ to develop his theory? A.Inductive reasoning B.Deductive reasoning C.Skeptical reasoning D.Subjective reasoning Is the answer A?

*asked by G on August 22, 2014* -
## Math Help plz!!! Really need help.

Use the Systematic Trial to solve this problem. Peanut-Pecan Problem Peanuts sell at $5/kg and pecans sell at $20/kg. Marika wants to make 30kg of a mixture of peanuts and pecans that will s ell at $10/kg/ How many kilograms of peanuts and pecans should

*asked by Jolley on November 28, 2006* -
## Geometry

In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR. can u guys show how to solve the problem(plz include answer) i got 42 by using the pythagorean theorem i am not sure if i am correct but can u check it

*asked by Allie on February 17, 2017* -
## psychology

A production executive,using deductive reasoning as an approach to solving problems,concludes that there is only one correct solution to every problem.The flaw in his reasoning is that: a)it allows his managers to find their own answers b) clear solutions

*asked by vedrana on October 16, 2009* -
## math, correction plz

Can someone correct these for me.PLZ Problem#1 Directions solve equation ãx+4 = 3 My answer: x = 5 Probelm #2 Directions solve equation ã(4x+1) + 3 = 0 My answer x = 2 Problem #3 Directions solve equation ã(2y+7)+4=y My answer y= 1 and y = 9 the

*asked by jas20 on March 24, 2007* -
## Math

Can someone explain this question is about deductive reasoning and inductive reasoning. I say the answer is deductive reasoning. Is this correct? Question: All United States Presidents have come from the original 48 states. No person from Alaska can be

*asked by B.B. on July 22, 2009* -
## Math

answer to travis has designed a rectangle with an area of 59 square units. his rectangle is the smallest rectangle with whole number side lengths. what are the length and width of the rectangle, explain your reasoning. what is the perimeter of the

*asked by Nadia on April 10, 2011* -
## Algebra

Solve using the multiplication principle. Don't forget to check. -x/2=8. Here is how I did the problem but I think it's wrong. (-2/x)-x/2=8(-2/x) x= -16. Could you please help? Thanks.

*asked by B.B. on February 22, 2010* -
## Algebra

Could someone please help me with this problem? Solve using the multiplication principle. Don't forget to check. -z=35. The solution is z=

*asked by B.B. on February 22, 2010* -
## Math

My mom and I don't agree on the answer to this problem 10x10-5x10 I say 995 Mom says 50 Please help. 10x10-5x10 100-50 50 If you show me your work I can show you your error. I am not sure if x stands for the variable or multiplication. If multiplication

*asked by John on October 11, 2006* -
## 5th grade math

Could someone explain what multiplication comparisons are? An example of the problem is: Northview bought 6 computers Southview bought 2 computers Using multiplication, compare the number of computers the two schools bought. Express the comparison 2 ways.

*asked by Cody on August 31, 2009* -
## math, correction,plz

Can someone correct these for me..plz... Problem #1 simplify. ((p^5)^4)/(p^6) MY answer: p^14 Problem #2 Write using positive exponents only. b^-6 MY answer: (1)/(b^6) Problem#3 Write 1.81 X 10^-2 in standard notation My answer. 0.0181 Problem #4 Subtract

*asked by jas20 on February 28, 2007* -
## 6th Grade Math

My Question: When Im doing multiplication, do i check it by using 2? For example: 84 times 37 = 3,078 How do i check my answer using estimation? - Answer: Im sorry, but i really need help on this question, I'm kinda stuck

*asked by Patricia on September 15, 2015* -
## Math (Fraction Word Problem)

You have three-fifths of a pizza leftover, and you plan to eat half of it for lunch. How much of the original pizza do you have left over? If I have 3/5 of a pizza leftover and I plan to eat 1/2 of it for lunch doesn't that mean you have to divide? This is

*asked by Joey on October 27, 2016* -
## physics

Plz plz answer this question..... I need this immediate.... "what is ment by the energy-mass relationship?explain it with the help of examples.....

*asked by Akbar on January 20, 2016* -
## Physics

Plz plz answer this question..... "what is ment by the energy-mass relationship?explain it with the help of examples.....

*asked by Ali on January 20, 2016* -
## Algebra

Create a multiplication problem which answer is 8 x 10^13. Must be in scientific notation. I don't get how to do this problem can you help me figure it out?

*asked by Amy K. on October 17, 2019* -
## Math

Ali tosses 3 number cubes,and then multiplies the results using the formula a x(bxc)and (axb)x c. Which property of multiplication does Ali use? a(Associative Property Of Multiplication b(Commutative Property Of Multiplication c(Distributive Property Of

*asked by Sara Pleaseee pleasse on December 7, 2011* -
## Math Help

Ali tosses 3 number cubes,and then multiplies the results using the formula a x(bxc)and (axb)x c.Which property of multiplication does Ali use? a(Associative Property Of Multiplication b(Commutative Property Of Multiplication c(Distributive Property Of

*asked by Sara Pleaseee on December 7, 2011* -
## Algebra

Give an example of a problem involving multiplication of fractions that can be made easier using the commutative property. Explain how it makes the problem easier.

*asked by Britney on January 13, 2017* -
## math

I've got a problem i'm suppose to use number 3 and 4 to illustrate the communtative property of multiplication using a dot to indicate multiplication so would i write it like this 4*3 or 3*4

*asked by Amber on August 19, 2009* -
## algebra

Okay, how do you factor a polynomial when there is a number in front of the highest x term. For example: how would you factor 2x^2-11x+15 i know the answer is (2x-5)(x-3), right? So you put the 2x on one side and then you put an x on the other. And then

*asked by Fidelia on May 15, 2007* -
## Math

Write a story for the following multiplication problem : 16x5 Derrick gets $5 for every hour he works at the store. He works for 16 hours each day. How much money does he get everyday? Is that a good problem? Write a story for the following multiplication

*asked by Lance on August 29, 2012* -
## Technical Math (College)

Question: The formula s=4.90t^2 gives the distance s in meters that a body falls in a given time t. Find the distance a ball drops in 4.2 seconds. Use the rules for multiplication of measurements in evaluating the answer.

*asked by Shelly on January 20, 2016* -
## sociology

hi people actually i need 2 do a project on sociology for 20 marks n i cant decide which on a topic ca u all plz help n v also need 2 have a survey or 30-40 interviews plz plz plz plz help its urgent It would really help us teachers if you would write in

*asked by aditi on August 13, 2007* -
## math,correction

Can someone correct these for me plz... Problem#6 Factor. x(x-5)-2(x-5) My answer is: (x-2)(x-5) Problem#7 Factor completely. x^2-x-6 My answer is: (x+2)(x-3) Problem#8 Factor completely. 35x^2+40x+5 My answer is: (7x+1)(5x+5) Problem #9 Factor by

*asked by jas20 on February 28, 2007* -
## Math

Could someone please help me with this math problem? Solve using the multiplication principle. Give the answer in set-builder notation. -4/5 less than or equal to -8x. I want to say that I multiply both sides by 5 but I'm not sure. I'm confused with this

*asked by B.B. on March 1, 2010* -
## franctional interests

Hello, I am having a difficult time breaking the following fractions down! what is the common denominator? 98/983 of a 1/2 % 187/983 0f a 1/2% 39/983 of 1/2 % 155/983 of 1/2% 34/983 of 1/2 % 64/983 of 1/2 % 25/983 of 1/2% 65/983 of 1/2% please send me an

*asked by steve o. on July 19, 2006* -
## math

5/2 - 3/8 log3 plz answer in decimal

*asked by aneesh on November 29, 2014* -
## Calculus

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to three decimal places.) Between y = e^x and y = x

*asked by tiffany on December 11, 2013* -
## Math

Hi Ms. Sue. My daughter Sam just started multiplication and is having trouble with the problem 2 times 2. Can you explain how to do it so I can help her out?

*asked by Meg on November 22, 2015* -
## algebra2

Plz Explain how to use a graphing calculator to solve the equation: x(x^2+2)=15. Then state the solution rounded to 2 decimal places.

*asked by britteny on January 11, 2007* -
## Business Math

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four decimal places.) Enclosed by y = ln x, y = 2

*asked by Zia on January 3, 2013* -
## Math

How you do multiplication as scaling like 2 1/2 x 3 2/3 3 2/3 I suppose to say if it is , or = Can someone explain how to solve this problem I need to learn how to do it because my daughter is having trouble getting it and I don't know how to do it

*asked by Lety on February 9, 2017* -
## Math

th 6th grade I have to covert 64 into fraction,decimal and percentage. So my answer is: Fraction 64/64 Decimal 1.01 Percentage 101% Plz correct if it’s wrong. Thank you!

*asked by Mary on September 30, 2018* -
## math

Can someone please check my answers? Thank you! 1. is (-8,-9) a solution of 2x+4y=12 No 2. Solve using the multiplication principle. -1/2x=-9/10 answer: 9/5

*asked by deedra on January 5, 2009* -
## Algebra

Can you explain to me how to solve this equation? 2/3x-9=1/3 1/3=.33 and 2/3=.66 now the problem is 0.66x-9=0.33 When I did this in math, I had trouble, but now I understand it. Since 0.33 is on the other side of the = then 9, you would do 0.33+9=9.33 In

*asked by Britt on December 6, 2006* -
## algebra

i have two answers to this problem so am not sure which way I need to do in or should say the order i should do it. lease help??????? problem is 7x-5+3x=6+x-10 what is the order to work this out there is no brackets to this problem 7x-x+3x=6+5-10

*asked by Anonymous on April 29, 2007* -
## Math

Can someone correct them 5) Write fraction as a percent 7/8 My answer: 0.875=87 1/2% 6)Write each decmal as a percent 0.008 My answer:8% 7) Write as a decimal 160% My answer:1.60 8)Write as a fraction 52% My asnwer:5/10 5) Write fraction as a percent 7/8

*asked by Jasmine 20 on November 24, 2006* -
## Applying Rational Numbers//Math

Estimate this answer. Explain your reasoning One half liter of lemonade concentrate is added to 3 liters of water. How many 1/3 liter of servings of lemonade are made? Thx for the help you who is looking at this math problem

*asked by Human Being on September 5, 2017* -
## Math 6th grade

I have to covert 64 into fraction,decimal and percentage. So my answer is: Fraction 64/64 Decimal 1.01 Percentage 101% Plz correct if it’s wrong. Thank you!

*asked by Mary on September 29, 2018* -
## Math

Could someone double check me Write the answer in lowest terms 5/9 + 8/9 = 13/18 What is the perimeter of a rectangle if the length is 7/11 ft and the width is 2/11ft? Answer: 9/11 ft Write the answer in lowest term 17/36 – 13/36 Answer: 1/9 8/15 + 3/20

*asked by Sherri on February 23, 2008* -
## Urgent Chem help plz

is answer +103 KJ.. plz chk Plz explain in detail.... i tried to search on internet but i am confused with co-efficents.. how to set up the equaiton .. plz help me ??? Bond enthalpy is the energy required to break a mole of a certain type of bond. O=O =

*asked by Sarah on November 12, 2008* -
## math

round result to two decimal places...the answer i have is: 7.023 so two decimal places would it be: 702.0 You're asked to round to two decimal places. 7.023 = 7.02. Your answer has only one decimal place. so i guess my answer is wrong then...so what do

*asked by student on July 15, 2007* -
## Math

8*2sq+7*(4+1)= ? Can someone explain to me what to after the parenthesis? I mean in the PEMDAS of operations says that I should multiply. Multiply what and when? By the way the actual problem is a example I got out of my book. Right at this momen there is

*asked by Rindi on August 11, 2007* -
## Math

If 360 workers called in sick and 240 went to work, how many workers work at the company all together? Solve using fractions and multiplication or division. Obviously the answer is 600 but how do I solve the problem using multiplication or division?

*asked by Anonymous on December 31, 2014* -
## College Algebra

Please Explain your reasoning Part 1: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be

*asked by Vision/Help! on November 3, 2007* -
## math

If someone can explain how to do this problem so I can learn and understand. you have a sample of 50 people. Based on the histogram, find the proportion of weight loss values in the sample that are less than 10 pounds. Write your answer as a decimal, and

*asked by Mary Ann on February 9, 2015* -
## math,correction

Simplify by combining like terms. Problem #32 radical (63) - 2 radical (28) + 5 radical (7) My answer: 4radical(7) Problem #50 Find the perimeter of the triangle shown in the figure. leg 1 = radical (5) - radical (3) leg 2= radical (5) + radical (3)

*asked by jasort20 on March 21, 2007* -
## Math

1. Write the place name for the 4 in the following number: 3,624,786 Answer: Thousand 2. Round the following number to the nearest ten: 53 Answer: 5 3. Find the sum of the following problem: 2,168 + 305 Answer: 2473 4. Estimate the sum of the following

*asked by Silika on July 1, 2012* -
## Math

Can someone help me with this problem? I don't understand lattice multiplication. Use lattice multiplication to find the product (Hint: Remember to estimate first!) 124*56. Thanks for your help.

*asked by B.B. on June 19, 2009*