Question

Match the following rational numbers to the corresponding integers they lie between on the number line.

• A. 1 and 2
• B. 0 and -1
• C. -1 and -2
• D. 0 and 1

Answer 1

Negative numbers are less than 0 and

• If the numerator of a negative rational number is less than the denominator then they lie between 0 and -1.

$\text{So,}\frac{-1}{3}\text{lies between 0 and -1}$

• If the numerator of a negative rational number is more than the denominator then they lie beyond -1.

$\text{So,}\frac{-4}{3}\text{lies between -1 and -2}$

Positive numbers are greater than 0

• If the numerator of a positive rational number is less than the denominator then they lie between 0 and 1.

$\text{So,}\frac{1}{3}\text{lies between 0 and 1}$

• If the numerator of a positive rational number is more than the denominator then they lie beyond 1.

$\text{So,}\frac{4}{3}\text{lies between 1 and 2}$.