Division of whole numbers with multiplication in parentheses

For example:

24:(6×2)=24 : (6\times2) =

One way to solve this exercise will be to remove the parentheses. To do this, we must remember the rule that states that, in order to remove the parentheses, we must divide the whole number by each of the terms of the multiplication operation in parenthese.

That is, in our example:

24:(6×2)= 24:(6\times2)=

24:6:2=24 : 6 : 2 =

4:2=24 : 2 = 2

Suggested Topics to Practice in Advance

  1. The commutative property
  2. The Commutative Property of Addition
  3. The Commutative Property of Multiplication
  4. The Distributive Property
  5. The Distributive Property for Seventh Graders
  6. The Distributive Property of Division
  7. The Distributive Property in the Case of Multiplication
  8. The commutative properties of addition and multiplication, and the distributive property
  9. The Associative Property
  10. The Associative Property of Addition
  11. The Associative Property of Multiplication

Practice Division of Whole Numbers with Multiplication in Parentheses

Examples with solutions for Division of Whole Numbers with Multiplication in Parentheses

Exercise #1

12:(2×2)= 12:(2\times2)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

2×2=4 2\times2=4

Now we divide:

12:4=3 12:4=3

Answer

3 3

Exercise #2

7(4+2)= 7-(4+2)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

4+2=6 4+2=6

Now we solve the rest of the exercise:

76=1 7-6=1

Answer

1 1

Exercise #3

8(2+1)= 8-(2+1)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

2+1=3 2+1=3

Now we solve the rest of the exercise:

83=5 8-3=5

Answer

5 5

Exercise #4

13(7+4)= 13-(7+4)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

7+4=11 7+4=11

Now we subtract:

1311=2 13-11=2

Answer

2 2

Exercise #5

38(18+20)= 38-(18+20)=

Video Solution

Step-by-Step Solution

According to the order of operations, first we solve the exercise within parentheses:

18+20=38 18+20=38

Now, the exercise obtained is:

3838=0 38-38=0

Answer

0 0

Exercise #6

28(4+9)= 28-(4+9)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

4+9=13 4+9=13

Now we obtain the exercise:

2813=15 28-13=15

Answer

15 15

Exercise #7

55(8+21)= 55-(8+21)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

8+21=29 8+21=29

Now we obtain the exercise:

5529=26 55-29=26

Answer

26 26

Exercise #8

37(47)= 37-(4-7)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

47=3 4-7=-3

Now we obtain:

37(3)= 37-(-3)=

Remember that the product of a negative and a negative results in a positive, therefore:

(3)=+3 -(-3)=+3

Now we obtain:

37+3=40 37+3=40

Answer

40 40

Exercise #9

80(412)= 80-(4-12)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

412=8 4-12=-8

Now we obtain the exercise:

80(8)= 80-(-8)=

Remember that the product of plus and plus gives us a positive:

(8)=+8 -(-8)=+8

Now we obtain:

80+8=88 80+8=88

Answer

88 88

Exercise #10

100(3021)= 100-(30-21)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

3021=9 30-21=9

Now we obtain:

1009=91 100-9=91

Answer

91 91

Exercise #11

66(1510)= 66-(15-10)=

Video Solution

Step-by-Step Solution

According to the order of operations rules, we first solve the expression inside of the parentheses:

1510=5 15-10=5

We obtain the following expression:

665=61 66-5=61

Answer

61 61

Exercise #12

22(283)= 22-(28-3)=

Video Solution

Step-by-Step Solution

According to the order of operations, we first solve the exercise within parentheses:

283=25 28-3=25

Now we obtain the exercise:

2225=3 22-25=-3

Answer

3 -3

Exercise #13

60:(5×3)= 60:(5\times3)=

Video Solution

Step-by-Step Solution

We write the exercise in fraction form:

605×3 \frac{60}{5\times3}

We break down 60 into a multiplication exercise:

20×35×3= \frac{20\times3}{5\times3}=

We simplify the 3s and obtain:

205 \frac{20}{5}

We break down the 5 into a multiplication exercise:

5×45= \frac{5\times4}{5}=

We simplify the 5 and obtain:

41=4 \frac{4}{1}=4

Answer

4 4

Exercise #14

60:(10×2)= 60:(10\times2)=

Video Solution

Step-by-Step Solution

We write the exercise in fraction form:

6010×2= \frac{60}{10\times2}=

Let's separate the numerator into a multiplication exercise:

10×610×2= \frac{10\times6}{10\times2}=

We simplify the 10 in the numerator and denominator, obtaining:

62=3 \frac{6}{2}=3

Answer

3 3

Exercise #15

21:(30:10)= 21:(30:10)=

Video Solution

Step-by-Step Solution

We will use the formula:

a:(b:c)=a:b×c a:(b:c)=a:b\times c

Therefore, we will get:

21:30×10= 21:30\times10=

Let's write the division exercise as a fraction:

2130=710 \frac{21}{30}=\frac{7}{10}

Now let's multiply by 10:

710×101= \frac{7}{10}\times\frac{10}{1}=

We'll reduce the 10 and get:

71=7 \frac{7}{1}=7

Answer

7 7

Topics learned in later sections

  1. Advanced Arithmetic Operations
  2. Subtracting Whole Numbers with Addition in Parentheses
  3. Division of Whole Numbers Within Parentheses Involving Division
  4. Subtracting Whole Numbers with Subtraction in Parentheses