Whole Numbers

Short Answer Questions(SAQs)

What are whole numbers?

A whole number is simply any positive number that does not include a fractional or decimal part. The set of whole numbers includes all natural numbers and zero.

What are the uses of a number line?

A number line is used as a tool to compare and order numbers and also perform various operations such as addition, subtraction, and understanding negative numbers.

What is the ‘Additive identity’ property?

The formula of additive identity is written as a + 0 = a. This property explains that when any number is added to zero, the result is the number itself.

MCQs

1. What is the smallest whole number?

(a) 1

(b) 0

(c) -1

(d) 10

► (b) 0 is the smallest whole number.

2. Which number is not a whole number?

(a) 2

(b) 0

(c) 34

(d) 100

► (c) 34 is a fraction, so it is not a whole number.

3. Which of the following operations does not always result in a whole number?

(a) Addition

(b) Subtraction

(c) Multiplication

(d) All of the above

► (b) Subtraction of two whole numbers can result in a negative number, which is not a whole number.

4. What is the additive identity for whole numbers?

(a) 1

(b) 0

(c) -1

(d) None of these

► (b) 0 is the additive identity, since a + 0 = a for any whole number a.

5. On a number line, what operation does moving to the right represent?

(a) Subtraction

(b) Multiplication

(c) Division

(d) Addition

► (d) Moving to the right on a number line represents addition.

6. What is 0 × 68?

(a) 0

(b) 68

(c) 1

(d) Undefined

► (a) Any number multiplied by 0 is 0.

7. Which of the following numbers is a whole number?

(a) -2

(b) 52

(c) 7

(d) √5

► (c) 7 is a whole number.

8. Which of the following is NOT true for whole numbers?

(a) They are closed under multiplication

(b) They are closed under subtraction

(c) They include zero

(d) They are closed under addition

► (b) Whole numbers are not closed under subtraction, as the result may not be a whole number.

9. What is the predecessor of 100?

(a) 99

(b) 101

(c) 98

(d) 100

► (a) The predecessor of 100 is 99.

10. Which of the following statements is true?

(a) All natural numbers are whole numbers.

(b) All whole numbers are natural numbers.

(c) Zero is a natural number.

(d) Whole numbers include negative numbers.

► (a) All natural numbers are whole numbers, but not all whole numbers are natural (since 0 is not natural).

11. What is the successor of 79?

(a) 78

(b) 80

(c) 77

(d) 70

► (b) The successor of a number is the next number, so successor of 79 is 80.

12. Which number has no predecessor in whole numbers?

(a) 1

(b) 0

(c) 2

(d) 100

► (b) 0 has no predecessor in whole numbers.

13. The product of two whole numbers is always:

(a) A negative number

(b) A whole number

(c) A decimal

(d) A fraction

► (b) Whole numbers are closed under multiplication.

14. Which is a whole number but not a natural number?

(a) 0

(b) 1

(c) 2

(d) 3

► (a) 0 is the only whole number that is not a natural number.

15. What is 45 ÷ 0?

(a) 45

(b) 0

(c) Not defined

(d) 1

► (c) Division by zero is not defined.

16. Which operation is not closed for whole numbers?

(a) Addition

(b) Multiplication

(c) Subtraction

(d) None

► (c) Subtraction is not always closed as it can give a negative number.

17. 5 + 0 equals to:

(a) 5

(b) 0

(c) 1

(d) None

► (a) 5 + 0 = 5, this is the additive identity property.

18. The number 1 is the:

(a) Additive identity

(b) Multiplicative identity

(c) Successor of 0

(d) Predecessor of 2

► (b) 1 is the multiplicative identity because any number multiplied by 1 remains unchanged.