Question

8. Find four rational numbers between 1.5 and 1.7​

Answer 1

Answer:

four rational numbers between 1.5 and 1.7 are 152/100, 153/100, 154/100, 155/100.

Answer 2

Given: Two decimals 1.5 and 1.7

To find: Four rational numbers between 1.5 and 1.7

Solution:

The given decimals can be written as:

1.5 = $\frac{15}{10}$  and 1.7 = $\frac{17}{10}$

[Steps to convert decimals to fractions:

• Write the given number without decimal point as the numerator.
• Write 1 as the denominator and along with it, add number of 0s depending on the number of digits after decimal point in given decimal.

In given decimals, there is only one digit after decimal point i.e., 5 and 7 in 1.5 and 1.7 respectively. So, one 0 is written along with 1 in denominator i.e., 10]

To insert rational numbers between the given numbers, we need to multiply both numerator and denominator of the fractions with 4 + 1 i.e., 5.

We get,

$\frac{15}{10} = \frac{15}{10} *\frac{5}{5} = \frac{75}{50}$ and $\frac{17}{10} = \frac{17}{10}*\frac{5}{5} = \frac{85}{50}$

i.e., $\frac{75}{50} < \frac{76}{50} < \frac{77}{50} < \frac{78}{50} < \frac{79}{50} < \frac{80}{50} < \frac{81}{50} < \frac{82}{50} < \frac{83}{50} < \frac{84}{50} < \frac{85}{50}$

We can choose any four rational numbe.

Hence, four rational numbers between 1.5 and 1.7 are:

$\frac{77}{50}, \frac{78}{50}, \frac{79}{50} \ and \ \frac{80}{50}$