Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.5
Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.5
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
Hint: 1 – 0 = 1
(ii) 34
(iii) 0
(iv) 0
(v) 1
Question 2.
Say True or False.
- 0 is the identity for multiplication of whole numbers.
- 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:
- Addition is commutative
- Multiplication is associative
- 0 is the additive identity
- 1 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
53 × 0 + 49 × 0 = 0 + 0 = 0
Question 6.
59/1 is
(a) 1
(b) 0
(c) 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
0 is the smallest whole number
Question 9.
Which of the following expressions is not zero?
(a) 0 × 0
(b) 0 + 0
(c) 2/0
(d) 0/2
Solution:
(c) 2/0
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
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