Question

2) State the property used in each
(i) 56 x (19 +91) = (56 x 19) + (56 x 91)
(i) 352 x 0 = 0
(iii) 491 X 1 = 491
(iv) 52 x 25 = 25 x 52
(v) 386 (9 - 6) = (386 x 9) - (386 X 6)
(vi) 45x(36 + 22)=(45x36)+(45 x 22)

Answer 1

Answer:

a distributive property of addition

Step-by-step explanation:

multiplicative property

communicative property

Answer 2

✰ Question ✰

State the property used in each:-

(i) 56 × (19 + 91) = (56 × 19) + (56 × 91)

(i) 352 × 0 = 0

(iii) 491 × 1 = 491

(iv) 52 × 25 = 25 x 52

(v) 386 × (9 - 6) = (386 × 9) - (386 × 6)

(vi) 45 × (36 + 22)= (45 × 36) + (45 × 22)

✰ To find ✰

The property used.

✰ Answers ✰

(i) 56 × (19 + 91) = (56 × 19) + (56 × 91)

• Property:- Distributive property of multiplication over addition.

(i) 352 × 0 = 0

• Property:- Multiplicative property of zero.

(iii) 491 × 1 = 491

• Property:- Multiplication property of one.

(iv) 52 × 25 = 25 x 52

• Property:- Commutative law.

(v) 386 (9 - 6) = (386 × 9) - (386 × 6)

• Property- Distributive property of multiplication over subtraction.

(vi) 45 × (36 + 22)= (45 × 36) + (45 × 22)

• Property:- Distributive property of multiplication over addition.

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✰ Knowledge corner ✰

Properties of multiplication →

Closure property-

If a and b are whole numbers, then (a × b) is also an whole number.

For example, 9 × 8 = 72, where 9, 8 and 72 are whole numbers.

Commutative law-

If a and b are two whole numbers, then

(a × b) = (b × a).

For example, 7 × 5 = 35 and 5 × 7 = 35.

So, (7 × 5) = (5 × 7).

Multiplicative property of zero-

For every whole number 0, we have:

(a × 0) = (0 × a) = 0

For example, 9 × 0 = 0 × 9 = 0.

Multiplicative property of one-

For every whole number 0, we have:

(a × 1) = (1 × a) = a

For example, 8 × 1 = 1 × 8 = 8.

Associative law-

If a, b, c are any whole numbers, then

(a × b) × c = a × (b × c)

For example, (9 × 7) × 10 = 63 × 10 = 630

9 × (7 × 10) = 9 × 70 = 630

So, (9 × 7) × 10 = 9 × (7 × 10).

Distributive property of multiplication over addition-

For any whole numbers a, b, c, we have:

a × (b + c) = (a × b) + (a × c)

For example, 16 × (9 + 8) = 16 × 17 = 272

(16 × 9) + (16 × 8) = (144 + 128) = 272

So, 16 × (9 + 8) = (16 × 9) + (16 × 8).

Distributive property of multiplication over subtraction-

For any whole numbers a, b, c, we have:

a × (b - c) = (a × b) - (a × c)

For example, 11 × (6 - 4) = 11 × 2 = 22

(11 × 6) - (11 × 4) = (66 - 44) = 22

So, 11 × (6 - 4) = (11 × 6) - (11 × 4).

❂ Hope this helps you. ❂