Properties of Integers under Multiplication

Q.

Find by distributive method:
$728\times 101$

Q. Given that a x b = b x a; a and b are integers.
This shows property under multiplication of integers.

1. closure
2. commutative
3. associative

Q.

Identify the property used in.

Q.

Find the value using suitable property.
i) 8 × 53 × (-125)
ii) (-47) × 102
iii) 4574 x 99 - ( -4574)
iv) 2369x (-487) – 1369 x (-487)
v) 25 × 15 × 4 × 6

Q. If a, b and c are whole numbers then, a x ( b x c ) = (a x b ) x c is said to be ___.

1. associative property
2. distributive property
3. commutative property
4. closure property

Q.

If $15\times 156=2340,$then $15600\times 15=$_________________

Q.

If a = 2, b = − 2, find the value of:

(i) a² + b² (ii) a² + ab + b² (iii) a² − b²

Q.

Which of the following is associative law of addition?

1. a + (b + c) = a + (b + c)

2. a + (b + c) = (a + b) + c

3. a + (b + c) = a + b + c

4. a + (b - c) = (a - b) + c

Q.

Find the value of following:
$297\times 17+297\times 3$

Q.

Use distributive law and evaluate : $407\times 168—307\times 168$

Q.

Find by distributive method:
$5437\times 1001$

Q.

Verify and name of the property used.

$\left[\left(-3\right)+\left(-19\right)\right]\times 21$

Q. Solve the following using suitable property.
$81\times (-3)+81\times 4$

1. 567
2. 81
3. 566
4. 162

Q. 10 × (–12) + (–12) × (–30) = ?

1. 462
2. -462
3. 240
4. -240

Q.

Fill in the blanks to make the statement true:

$11\times (-5)=-(\_\_\_\_\_\_\times \_\_\_\_\_\_)=\_\_\_\_\_\_\_\_\_\_.$

Q.

Find by distributive method:
$824\times 25$

Q. What is the value of $35\times 4+35\times 8$ =

1. 420

Q. Law of under multiplication states
"If a, b and c are integers such that a x (b x c) = (a x b) x c."

1. closure
2. commutativity
3. associativity

Q.

Find the product, using suitable properties:
$537\times 102$

Q.

Find by distributive method:
$504\times 35$

Q. Mark (✓) against the correct answer
If (3a + 5b) : (3a − 5b) = 5 : 1, then a : b = ?

(a) 2 : 1
(b) 3 : 2
(c) 5 : 2
(d) 5 : 3

Q.

Verify: $(86\times 55)\times 110=86\times (55\times 110)$

Q. If a + b = 6
then, calculate a x 2 + 9 - 3 + (-6) + b x 2 = using suitable properties of integers.

1. 12
2. 10
3. \N

Q.

28 = 4+3(x+5)

find the value of x with steps.

Q. The multiplication of integers follows the law of associativity which is written as
a x (b x c) =

1. (a x b) x c
2. a x (b + c)
3. (b + c) x a

Q. $(-35\times 4)+(35\times 6)$ = ?

1. 
   70
2. 
   -70
3. 
   -35
4. 
   35

Q. Complete the following multiplication table:

Is the multiplication table symmetrical about the diagonal joining the upper left corner to the lower right corner?

Q. If 2ⁿ⁻⁷ × 5ⁿ⁻⁴ = 1250, find the value on n.

Q.

Find the product using distributive law $250\times 105$

Q. Match the following.

1. (a+b)+c
2. (a×b)+(a×c)
3. b+a