Division of Whole Numbers Within Parentheses Involving Division - Examples, Exercises and Solutions

Understanding Division of Whole Numbers Within Parentheses Involving Division

Complete explanation with examples

The division of whole numbers within parentheses where there is a division refers to the situation in which we must carry out the mathematical operation of dividing a whole number by the result of dividing two elements, that is, by their quotient.

For example:

24:(6:2)24 : (6 : 2)

There are two ways to solve this type of exercises.

The first one will be to open the parentheses and extract the numbers that were inside them.

That is, in our example:

24:(6:2)=24 : (6 : 2) =

24:6×2= 24:6\times2=

4×2=8 4\times2=8

B1 - Division of Whole Numbers Within Parentheses Involving Division

Detailed explanation

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\( 22-(28-3)= \)

Examples with solutions for Division of Whole Numbers Within Parentheses Involving Division

Step-by-step solutions included
Exercise #1

60:(10×2)= 60:(10\times2)=

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

Video Solution
Exercise #2

12:(2×2)= 12:(2\times2)=

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

Video Solution
Exercise #3

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

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

Video Solution
Exercise #4

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

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

Video Solution
Exercise #5

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

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

Video Solution

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