Question

2. Choose all numbers that are RATIONAL. *

1. 0
2. 5/7
3. 3.6820350285........
4. -10​

Answer 1

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

Explanation:

Rational number are the numbers can be written in the form of the fraction
`(a)/(b)` , b ≠ 0

Example:

• 5, -3, 5.2 , -10.567,
  `2(1)/(3)` ,
  `√(64)` ,
  `-\sqrt{(25)/(4)}` ,
  `\frac{\sqrt[3]{8}}{5}` , .......

• 5 can be written as
  `(5)/(1)`

• -3 can be written as
  `-(3)/(1)`

• 5.2 can be written as
  `(52)/(10)`

• -10.567 can be written as
  `-(10567)/(1000)`

• 
  `2(1)/(3)` can be written as
  `(7)/(3)`

• 
  `√(64)` can be written as
  `(8)/(1)`

• 
  `-\sqrt{(25)/(4)}` can be written as
  `-(5)/(2)`

• 
  `\frac{\sqrt[3]{8}}{5}` can be written as
  `(2)/(5)`

All the numbers above are rational numbers

Let us find the rational numbers in our question

∵ 0 can be written as
`(0)/(1)`

∴ 0 is a rational number

∵
`(5)/(7)` is a fraction

∴
`(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
`-(10)/(1)`

∴ -10 is a rational number

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