Question

1.Which numbers below could be classified as integers? 2.Which number belongs in the shaded portion of the diagram below?

Answer 1

1). Option (3)

2). Option (D)

Explanation:

1). Integers are the numbers which are whole numbers with negative or positive notations.

Integers can't be a fraction or a number with decimal.

Out of the numbers given,

-18 and 4 will be the integers

Option (3) is the correct answer.

2). Shaded portion of the diagram represents the rational numbers excluding integers,

By the definition of the rational numbers, any number which can be written as a fraction is a rational number.

Rational numbers → All numbers given are the rational numbers

Integers →
`(16)/(4)=4, -(30)/(5)=6, -(32)/(8)=-4`

Therefore, only one number
`(30)/(9)` will lie in the shaded region.

Option (D) will be the answer.