# math

I'm doing a portfolio in math rn and i need help, fast please. Lesson 11: Solving Inequalities by Multiplying or Dividing. Grade: 7
Versatile Distributive Property Portfolio
Directions: Your family is having a day without technology. No calculators, cell
phones, or computers are allowed. You have a math assignment to finish, so it’s
time to put the computation properties you have learned to good use. This is your
chance to see how versatile the Distributive Property is and how it can make your
life easier!
Thanks to the Distributive Property, there are two different ways of computing
3(4 5 6) + + :
-Calculation with Distribution:-
3(4 + 5 + 6) =
3 × 4 + 3 × 5 + 3 × 6 =
12 + 15 + 18 =
45
-Calculation without Distribution-
3(4 + 5 + 6) =
3(15) =
45
You will get the same answer regardless of which method you use.
In each of the following situations, show all steps for both ways of calculating with
the Distributive Property. In some cases, you will find it easier to distribute the
multiplication over each of the addends before adding. In the other cases, you may
think it helps to not distribute and to add the numbers before multiplying.
Remember, showing your work is an important part of this portfolio.
Vote for which way you think is more efficient and explain why.
Shopping Discounts:
Situation: You want to buy three books that are on sale at 20% off. The original
prices of the books are \$2.50, \$4.95, and \$6.00. How much will you save?
-Calculation with Distribution-
show all steps
-Calculation without Distribution-
show all steps
Checklist:
i think it is easier
-to distribute
-to not distribute
Why I think it is easier:
Shopping: Tax
Situation: You are purchasing four items and want to calculate the tax. The items
cost \$2.50, \$8.75, \$3.00, and \$10.25. The tax rate is 6%. How much is the tax?
-Calculation with Distribution:-
show all steps
-Calculation without Distribution:-
show all steps
Checklist:
I think is easier:
-to distribute
-to not distribute
Why I think it is easier:
Mental Math:
Situation: You exercised 24 hours each month for a year. How many hours did you
exercise by the end of the year? You may be able to do the math mentally thanks
to expanded notation and the Distributive Property.
-Calculation with Distribution:-
show all steps
-Calculation without Distribution:-
show all steps
I think is easier:
-to distribute
-to not distribute
Why I think is Easier:
Multiplying by a Negative Number:
Situation: Find the value of this integer expression:
-2(+3+-4+-8++7).
-Calculation With Distribution:-
show all steps
-Calculation Without Distribution:-
show all steps
I think is easier:
-to distribute
-to not distribute
Why I think it is easier:
Situation: Find the value of this fraction computation:
6 (1/2+2/3+3/4).
-Calculation with distribution:-
show all steps
-Calculation Without Distribution:-
show all steps
I think is easier:
-to distribute
-to not distribute
Why I think it is easier:
Geometry Formulas:
Situation: Find the perimeter of a rectangular area with a length of 13 inches and
a width of 7 inches.
-Calculation With Distribution:-
show all steps
-Calculation Without Distribution:-
show all steps
I think is easier:
-to distribute
-to not distribute
Why I think it is easier:
Original Example
Give an original example of a situation in which the Distributive Property could be
used.
Situation:
-Calculation With Distribution:-
show all steps
-Calculation Without Distribution:-
show all steps
I think it is easier:
-to distribute
-to not distribute
t h a n k s

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2. 👎
3. 👁
1. Geeze why dont people answer any of our questions??? It's like we're just asking so that other kids will have the answer in the far away future😭😭

With distribution
12(12+12)=
144+144=
288

Without distribution
12(12+12)=
12(24)=
288

That was the third
the first....
W dist
0.2 (2.50 + 4.95 + 6.00) =
0.2 * 2.50 + 0.2 * 4.95 + 0.2 * 6.00 =
1.345 + 1.345 =
2.69

W/o dist
0.2 (2.50 + 4.95 + 6.00)=
0.2 (13.45)=
2.69

The second
W dist
.06 (2.50 + 8.75 + 3.00 + 10.25)=
.06 * 2.50 + 06 * 8.75 + 06 * 3.00 + 06 * 10.25 =
0.735 + 0.735=
1.47

W/o dist
.06 (2.50 + 8.75 + 3.00 + 10.25) =
.06 (24.50)=
1.47

Hope this helps that's as far as I've reached sorry

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2. 👎
2. listen im a person who likes to cheat ill be honest . But then i realize like how f-ed up 2051 is gonna be.

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2. 👎
3. with Distribution 24.50+8.75+3.00+10.25=24.50
24.50*1.06=25.97
25.97-24.50=1.47
without Distribution
.06+(2.60)+.06(8.25)+.06(3.00)+.06(10.25)
=24.50 then subtract 25.97-24.50=1.47

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2. 👎
4. idk wut to put for the third one sorry guys

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2. 👎

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