Examples with solutions for The Distributive Property for 7th Grade: Only addition and subtraction

Exercise #1

14070= 140-70=

Video Solution

Step-by-Step Solution

In order to simplify the resolution process, we begin by using the distributive property for 140:

100+4070= 100+40-70=

We then rearrange the exercise using the substitution property into a more practical form:

10070+40= 100-70+40=

Lastly we solve the exercise from left to right:

10070=30 100-70=30

30+40=70 30+40=70

Answer

70

Exercise #2

14343= 143-43=

Video Solution

Step-by-Step Solution

We will use the distributive law and split the number 143 into a sum of 100 and 43.

The distributive law allows us to distribute, meaning, to split a number into two or more numbers. This actually allows us to work with smaller numbers and simplify the operation.

(100+43)43= (100+43)-43=

We will operate according to the order of operations

We can remove parentheses and perform addition and subtraction operations in any order since there are only addition and subtraction operations in the equation

100+4343=100+0=100 100+43-43=100+0=100

Therefore, the answer is option C - 100.

And now let's see the solution to the exercise in a centered format:

14343=(100+43)43=100+4343=100+0=100 143-43= (100+43)-43= 100+43-43=100+0=100

Answer

100

Exercise #3

94+72= 94+72=

Video Solution

Step-by-Step Solution

In order to simplify the calculation , we first break down 94 and 72 into smaller and preferably round numbers.

We obtain the following exercise:

90+4+70+2= 90+4+70+2=

Using the associative property, we then rearrange the exercise to be more functional.

90+70+4+2= 90+70+4+2=

We solve the exercise in the following way, first the round numbers and then the small numbers.

90+70=160 90+70=160

4+2=6 4+2=6

Which results in the following exercise:

160+6=166 160+6=166

Answer

166

Exercise #4

133+30= 133+30=

Video Solution

Step-by-Step Solution

In order to solve the question, we first use the distributive property for 133:

(100+33)+30= (100+33)+30=

We then use the distributive property for 33:

100+30+3+30= 100+30+3+30=

We rearrange the exercise into a more practical form:

100+30+30+3= 100+30+30+3=

We solve the middle exercise:

30+30=60 30+30=60

Which results in the final exercise as seen below:

100+60+3=163 100+60+3=163

Answer

163

Exercise #5

6336= 63-36=

Video Solution

Step-by-Step Solution

To solve the problem, first we will use the distributive property on the two numbers:

(60+3)-(30+6)

Now, we will use the substitution property to arrange the exercise in the way that is most convenient for us to solve:

60-30+3-6

It is important to pay attention that when we open the second parentheses, the minus sign moved to the two numbers inside.

30-3 = 

27

Answer

27

More Questions

Parentheses in advanced Order of Operations