6th Maths Guide Term 1 English Medium – Chapter 1 Numbers Ex 1.5 | Numbers

1. Fill in the blanks

(i) The difference between the smallest natural number and the smallest whole number is __________.

Ans: 1

(ii) 17 × __________ = 34 × 17

Ans: 34

(iii) When __________ is added to a number, it remains the same.

Ans: 0

(iv) Division by __________ is not defined.

Ans: 0

(v) Multiplication by __________ leaves a number unchanged.

Ans: 1

2. Say True or False.

(i) 0 is the identity for multiplication of whole numbers.

Ans: False

(ii) Sum of two whole numbers is always less than their product.

Ans: False

(iii) Both addition and multiplication are associative for whole numbers.

Ans: True

(iv) Both addition and multiplication are commutative for whole numbers.

Ans: True

(v) Multiplication is distributive over addition for whole numbers.

Ans: True

3. Name the property being illustrated in each of the cases given below.

(i) 75 + 34 = 34 + 75

Ans: Commutativity for Addition

(ii) (12 × 4) × 8 = 12 × (4 × 8)

Ans: Associative for multiplication

(iii) 50 + 0 = 50

Ans: Zero is additive identity

(iv) 50 × 1 = 50

Ans: one is multiplicative identity

(v) 50 × 42 = 50 × 40 + 50 × 2

Ans: Distributivity of multiplication over addition

= 50 x 42
= 50 x (40 + 2)
= 50 x 40 + 50 x 2

4. Use the properties of whole numbers and simplify.

(i) 50 × 102

= 50 × (100 + 2) (Distributive Property for addition)
= 50 × 100 + 50 × 2
= 5000 + 100
= 5100

Ans:500

(ii) 500 × 689 − 500 × 89

500 × 689 – 500 × 89 (Distributive Property for subtraction)

= 500 (689 – 89)
= 500 × (600)
= 3,00,00

Ans: 3,00,00

(iii) 4 × 132 × 25

4 × 132 × 25 (Commutativity of multiplication)

= (4 × 25) × 132
= 100 × 132
= 13,200

Ans: 13,200

(iv) 196 + 34 + 104

196 + 34 + 104 (Commutativity of Addition)

= (196 + 104) + 34
= 300 + 34
= 334

Ans: 334

 Objective Type Questions

5. (53 + 49) × 0 is

1. 102
2. 0
3. 1
4. 53 + 49 × 0

Ans: 0

Reason: Any number × 0 = 0

6. 59/1 is

1. 1
2. 0
3. 1/59
4. 59

Ans: 59

7. The product of a non-zero odd whole number and its successor is always

1. an even number
2. an odd number
3. zero
4. none of these

Ans: an even number

8. The whole number that does not have a predecessor is

1. 10
2. 0
3. 1
4. இவற்றுள் ஏதுமில்லை

Ans: 0

9. Which of the following expressions is not zero?

1. 2 × 0
2. 0 + 0
3. 2 + 0
4. 0 – 0

Ans: 2 + 0

10. Which of the following is not true?

1. (4237 + 5498) + 3439 = 4237 + (5498 + 3439)
2. (4237 × 5498) × 3439 = 4237 × (5498 × 3439)
3. 4237 + 5498 × 3439 = (4237 + 5498) × 3439
4. 4237 × (5498 + 3439) = (4237 × 5498) + (4237 × 3439)

Ans: 4237 + 5498 × 3439 = (4237 + 5498) × 3439