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?
Answer: d) -2 7 ⁄8
Explanation: The rational numbers for each point labelled with a letter are as follows:
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
5. Which of the following is five rational numbers between 2 and 3?
a)
b)
c)
d)
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.
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.
Rational numbers between
In the simplest form:
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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