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

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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
Hint: 1 – 0 = 1
(ii) 34
(iii) 0
(iv) 0
(v) 1

Question 2.
Say True or False

1. 0 is the identity for multiplication of whole numbers.
2. The Sum of two whole numbers is always less than their product.
3. Both addition and multiplication are associative for whole numbers.
4. Both addition and multiplication are commutative for whole numbers.
5. Multiplication is distributive over addition for whole numbers.

Solution:

1. False
   Hint: 1 is the identity for multiplication
2. False
   Hint: 1 + 1 = 2 > 1 × 1 = 1
3. True
4. True
5. True

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

1. 75 + 34 = 34 + 75
2. (12 × 4) × 8 = 12 × (4 × 8)
3. 50 + 0 = 50
4. 50 × 1 = 50
5. 50 × 42 = 50 × 40 + 50 × 2

Solution:

1. Addition is commutative
2. Multiplication is associative
3. 0 is the additive identity
4. 1 is the multiplicative identity.
5. 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) Using the distributive property of multiplication over addition.
50 × 102
= 50 × 10 + 50 × 2
= 5000 + 100
= 5100
∴ 50 × 102 = 5100

(ii) Using distributivity of multiplication over subtraction
500 × 689 – 500 × 89
= 500 × (689 – 89)
= 500 × 600
= 300000
∴ 500 × 689 – 500 × 89 = 3,00,000

(iii) We know that multiplication is associative
4 × 132 × 25
= 4 × 25 × 132
= 100 × 132
= 13200
∴ 4 × 132 × 25 = 13200

(iv) 196 + 34 + 104
= 196 + 104 + 34 [∴ Addition is associative]
= 300 + 34
= 334
∴ 196 + 34 + 104 = 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.
\(\frac{59}{1}\) 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
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