Worksheet on Rational Numbers

cmo-rational-c8-37

4. Which of the following rational numbers is the result of adding the sum of the rational numbers represented by letters B, D, and E to the difference between the rational numbers represented by letters A and C?

cmo-rational-c8-40

Answer: d) -2 7 ⁄8

Explanation: The rational numbers for each point labelled with a letter are as follows:

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Sum of the rational numbers represented by letters B, D and E = B + D + E

Difference between the rational numbers represented by letters A and C = A − C

Sum of the rational numbers represented by letters B, D and E and the difference between the rational numbers represented by letters A and C

cmo-rational-c8-42

5. Which of the following is five rational numbers between 2 and 3?

a) cmo-rational-c8-43
b) cmo-rational-c8-44
c) cmo-rational-c8-45
d) cmo-rational-c8-46

cmo-rational-c8-47

Answer: d)

Explanation: 21 and 31 are two rational numbers with the same denominator 7.
Follow these steps:

Step 1: First compare the numerators.

Step 2: Since there is no difference between the numerators 2 and 3.

Step 3: If you need more numbers in between, you can multiply both the original rational numbers by 10.

cmo-rational-c8-48

Step 4: Now there is a very large difference between the numerators 20 and 30. There are 10 numbers between the numerators 20 and 30. So, you can pick any 5 rational numbers in between.

cmo-rational-c8-49

Rational numbers between

cmo-rational-c8-50

In the simplest form:

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Any five rational numbers lying between 2 and 3:

Note: There are 10 numbers between the numerators 20 and 30. So, you may also choose the other 5 rational numbers in between.

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