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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.5

Question 1.

Fill in the blanks.

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

(ii) 17 × …….. = 34 × 17

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

(iv) Division by ………. is not defined.

(v) Multiplication by ……… leaves a number unchanged.

Solution:

(i) 1

(ii) 34

(iii) Zero

(iv) 0

(v) 1

Question 2.

Say True or False.

- 0 is the identity for multiplication of whole numbers.
- The Sum of two whole numbers is always less than their product.
- Both addition and multiplication are associative for whole numbers.
- Both addition and multiplication are commutative for whole numbers.
- Multiplication is distributive over addition for whole numbers.

Solution:

- False
- False
- True
- True
- True

Question 3.

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

- 75 + 34 = 34 + 75
- (12 × 4) × 8 = 12 × (4 × 8)
- 50 + 0 = 50
- 50 × 1 = 50
- 50 × 42 = 50 × 40 + 50 × 2

Solution:

- Commutativity for addition
- Associativity for multiplication
- Zero is the additive identity
- One is the multiplicative identity
- Distributivity of multiplication over addition

Question 4.

Use the properties of whole numbers and simplify.

(i) 50 × 102

(ii) 500 × 689 – 500 × 89

(iii) 4 × 132 × 25

(iv) 196 + 34 + 104

Solution:

(i) 50 × 102

= 50 × (100 + 2)

= (50 × 100) + (50 × 2)

= 5000 + 100 = 5100

(ii) 500 × 689 – 500 × 89

= 500 × (689 – 89)

= 344500 – 44500

= 300000

= 500 × (689 – 89)

= 500 × 600

= 3,00000

(iii) (4 × 132) × 25

= 4 × (132 × 25)

= (4 × 132) × 25

= 528 × 25

= 13200

= 4 × (132 × 25)

= 4 × 3300

= 13200

(iv) (196 + 34) + 104 = 196 + (34 + 104)

(196 + 34) + 104 = 230 + 104 = 334

196 + (34 + 104) = 196 + 138 = 334

Objective Type Questions

Question 5.

(53 + 49) × 0 is

(a) 102

(b) 0

(c) 1

(d) 53 + 49 × 0

Solution:

(b) 0

Question 6.

\(\frac{59}{1}\) is

(a) 1

(b) 0

(c) \(\frac{1}{59}\)

(d) 59

Solution:

(d) 59

Question 7.

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

(a) an even number

(b) an odd number

(c) zero

(d) none of these

Solution:

(a) an even number

Question 8.

The whole number that does not have a predecessor is

(a) 10

(b) 0

(c) 1

(d) none of these

Solution:

(b) 0

Question 9.

Which of the following expressions is not zero?

(a) 0 × 0

(b) 0 + 0

(c) \(\frac{2}{0}\)

(d) \(\frac{0}{2}\)

Solution:

(c) \(\frac{2}{0}\)

Dividing by 0 is not defined.

Question 10.

Which of the following is not true?

(a) (4237 + 5498) + 3439 = 4237 + (5498 + 3439)

(b) (4237 × 5498) × 3439 = 4237 × (5498 × 3439)

(c) 4237 + 5498 × 3439 = (4237 + 5498) × 3439

(d) 4237 × (5498 + 3439) = (4237 × 5498) + (4237 × 3439)

Solution:

(c) 4237 + 5498 × 3439 = (4237 + 5498) × 3439