Question

Name the properties used in the following equations:-

i) 1+(4+3) = (1+4) + 3

ii) 5(a+b) = 5a +5b

iii) a +0=0+a= a

$5 \times \frac{1}{5} = \frac{1}{5} \times 5 = 1$

Write the missing number.

i) 2+(___+4)= (2+6) + 4

ii) 7 + (4 + 2) = 13, so (74) + 2 =____
iii) 9 x (3 x 4) = 108, so (9 x 3) x 4 = _____
iv) 5x (8 x 9) = (5x ____) x 9

( class 9)

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Answer 1

Step-by-step explanation:

question 1

1. Associative property

a+(b+c)=(a+b)+c

2. Distributive property

a×(b+c)= a×b+a×c

3 Additive Identity

a+0=a ( which means any number added to a no. gives the same no. , if you multiply 0 with some no. it will always give you the no itself.

eg 2+0=2)

question 2

1.

2+(___+4)= (2+6) + 4

Associative property.

2+(6+4)= (2+6) + 4

2.

7 + (4 + 2) = 13, so (7+4) + 2 =____

Associative property.

the answer will remain the same

7 + (4 + 2) = 13, so (7+4) + 2 = 13

3.

9 x (3 x 4) = 108, so (9 x 3) x 4 = _____

Associative property

9 x (3 x 4) = 108, so (9 x 3) x 4 = 108

4

5x (8 x 9) = (5x _) x 9

Associative property

5x (8 x 9) = (5x × 8) x 9

hope this will help

thank you

Answer 2

Answer:

the answer is in the attachment