Properties of Multiplication of Integers

Q.

In a class test containing 20 questions, 4 marks are awarded for every correct answer and -2 marks are awarded for every incorrect answer and 0 for not attempted questions. Pranav gets 9 correct and 3 incorrect answers. What is his score?

1. 30
2. 42
3. -6
4. 12

Q.

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

Q.

Find the product, using suitable properties:

(a) $26\times (-48)+(-48)\times (-36)$

(b) $8\times 53\times (-125)$

(c) $15\times (-25)\times (-4)\times (-10)$

(d) $(-41)\times 102$

(e) $625\times (-35)+(-625)\times 65$

(f) $7\times (50-2)$

(g) $(-17)\times (-29)$

(h) $(-57)\times (-19)+57$

Q.

Verify

18×(7×(-3) =18×7+18×(-3)

Is LHS =RHS

Q.

Verify a − (−b) = a + b for the following values of a and b.

(i) a = 21, b = 18

(ii) a = 118, b = 125

(iii) a = 75, b = 84

(iv) a = 28, b = 11

Q.

$\text{Solve}24\times 102\text{using distributive law.}$

1. -2458
2. -2448
3. -2238
4. -2508

Q.

Find the following product: $(-3)\times (-6)\times (-2)\times (-1)$.

Q. Question 6(i)
In a class test (+3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting any question.
(i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?

Q.

Find using suitable property

(-57)×(-19)+57

Q. What is the identity element for multiplication of integers?

1. 0
2. 1
3. -1
4. 2

Q.

Let $U=\left\{1,2,3,4,5,6,7,8,9\right\},A=\left\{1,2,3,4\right\},B=\left\{2,4,6,8\right\}$ and $C=\left\{3,4,5,6\right\}$. Find $(B-C)$

Q.

28945*99-(-28945)

Q.

Find the product using suitable properties

a) 52 x (-98) + 52 x(-2)

b) (-8) x 54 x(-125)

c) -36 x 103

d) 872 x 1001- 872

e) -15 x 25 x(-4) x(-10) x (-1)

f) 625 x (-35) + (-625) x 65

g) 18 x999

h) 50 x (-23) + 50 x(17)

Q.

Question 124 (iii)

Evaluate the following, using distributive property.
$53\times (-9)-(-109)\times 53$

Q. Find the sum of:

(i) 153 and − 302
(ii) 1005 and − 277
(iii) − 2035 and 297
(iv) − 489 and − 324
(v) − 1000 and 438
(vi) − 238 and 500

Q. If a/b is a rational number and m any integer, then a/b=a*m/b*m

Q.

In integers, 1 is the identity for-

1. Addition

2. Division

3. Subtraction

4. Multiplication

Q. Verify associative property of multiplication

$x\times (y\times z)=(x\times y)\times z$ for $x=\frac{7}{4},y=\frac{-11}{3},z=\frac{1}{2}$ [4 MARKS]

Q. Find the value of 49 x 58 + 42 x 49.

1. 
   490
2. 
   4900
3. 
   498
4. 
   4980

Q. Determine the integer whose product with '−1' is
(i) 58
(ii) 0
(iii) −225

Q.

Using the properties of multiplication find the following products 1401 × -82 + -1401 × 18

Q.

The sum of two whole numbers is always less than their product.

1. True
2. False

Q.

Give three examples of Associative property of multiplication of whole numbers.

Q.

The multiplicative inverse of $\frac{1}{23}$ is ___.

Q. What is distributive property?

Q.

Fill in the blanks :

If $\mathrm{x},\mathrm{y},\mathrm{z}$ are three integer, then$(x+y)+$$\left(\_\_\_\right)=\left(\_\_\_\_\right)+\left(\_\_\_\_\right)$

Q.

How to solve this problem in distributive property of multiplication

(-56) × 19 - 56

Q.

Product of seven negative integer is always negative

1. True
2. False

Q. 1, 3, 6, 10.. are

1. Triangular numbers
2. Square Numbers
3. Cube numbers

Q.

Find the product, using suitable properties:
$26\times (-48)+(-48)\times (-36)$