Double check please
Write each of the following as a common fraction or mixed number. Write your answer in lowest term
28. 15.35
Answer: 1535 / 100 = 307/20 = 15 35/100 is 15 7/20
Complete each of the following statement, using the symbol < or >
5/16 _0.313
Answer >
We have the decimal number:
15.35, which becomes 15(35/100).
The fractional part can be reduced.
What is the biggest number that can evenly fit into 35 and 100 without a remainder?
How about 5?
35/5 = 7
100/5 = 20
Final answer:
5_7/20
===============
The inequality symbols have names:
> means GREATER THAN
< means LESS THAN
The arrow ALWAYS points to the smaller number.
We have a fraction on the left and a decimal number on the right:
5/16 ___ 0.313
Which inequality symbol goes on the line?
When we divide 5 by 16, we get 0.3135, right?
Which is bigger?
0.3135 or 0.313?
Of course, 0.3135 is bigger.
Final answer:
5/16 > 0.313
Done!
INEQUALITY AND GRAPH
5x-7(x+1)>-9
<-+-+-+-+-+-+-+-+-+-+->
-4-3-2-1 0 1 2 3 4 5
5 x - 7 x - 7 >-9
-2 x > -2
divide both sides by -2. When you multily both sides by a negative number, change direction of arrow.
x < 1
put an open circle around x =1 and an arrow to the left.
+++++++++++++++++++++++++++++
check, try x = 0
5*0 - 7*0 - 7 >-9 ?
-7 > -9 sure enough
try x = 1 (should be right on the edge)
5 - 7(2) > -9 ?
5 - 14 >-9
-9 >-9 sure enough, this is the edge
To double check the answer for the first question, let's convert the decimal to a fraction and simplify it to lowest terms.
The decimal 0.313 can be written as 313/1000 because there are three digits after the decimal point.
To simplify 313/1000, we find the greatest common divisor (GCD) of the numerator and denominator, which in this case is 1. Dividing both the numerator and denominator by 1, we get:
313 ÷ 1 = 313
1000 ÷ 1 = 1000
So, the fraction 0.313 in lowest terms is 313/1000.
Now, let's compare 5/16 with 313/1000 using the symbols < or >.
To compare fractions, we can cross-multiply. Multiplying the numerator of the first fraction (5) with the denominator of the second fraction (1000) gives us 5000. And multiplying the numerator of the second fraction (313) with the denominator of the first fraction (16) gives us 5008.
So, we have 5/16 < 313/1000.
Therefore, the correct statement is 5/16 < 0.313.