Question

2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10​

Answer 1

Answer:

0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4

Step-by-step explanation:

Rational number are the numbers can be written in the form of the fraction $\frac{a}{b}$ , b ≠ 0

Example:

• 5, -3, 5.2 , -10.567, $2\frac{1}{3}$ , $\sqrt{64}$ , $-\sqrt{\frac{25}{4}}$ , $\frac{\sqrt[3]{8}}{5}$ , .......

• 5 can be written as $\frac{5}{1}$

• -3 can be written as $-\frac{3}{1}$

• 5.2 can be written as $\frac{52}{10}$

• -10.567 can be written as $-\frac{10567}{1000}$

• $2\frac{1}{3}$  can be written as $\frac{7}{3}$

• $\sqrt{64}$ can be written as $\frac{8}{1}$

• $-\sqrt{\frac{25}{4}}$ can be written as $-\frac{5}{2}$

• $\frac{\sqrt[3]{8}}{5}$ can be written as $\frac{2}{5}$

All the numbers above are rational numbers

Let us find the rational numbers in our question

∵ 0 can be written as $\frac{0}{1}$

∴ 0 is a rational number

∵ $\frac{5}{7}$ is a fraction

∴ $\frac{5}{7}$ is a rational number

∵ 3.6820350285........ can not be written in the form of the fraction

   because we do not know its end (it is an approximated number)

∴ 3.6820350285........ is not a rational number

∵ -10 can be written as $-\frac{10}{1}$

∴ -10 is a rational number

∴ 0, 5/7, and -10 are RATIONAL numbers