# Worksheet on Multiplication of Integers

In worksheet on multiplication of integers, the questions are based on multiplying integers. This exercise sheet on integers has different types of questions on multiplication of integers that can be practiced by the students to get more ideas to learn integers.

A. Determine each of the following products:

1. 10 × 7

(a) 84

(b) 70

(c) 89

(d) 78

2. (-15) × 8

(a) -120

(b) -127

(c) 120

(d) 127

3. (-25) × (-9)

(a) 184

(b) -184

(c) -225

(d) 225

4. 121 × (-8)

(a) 264

(b) 1000

(c) -968

(d) -315

B. Find each of the following products:

1. 3 × (-8) × 1

(a) 24

(b) -24

(c) 20

(d) -20

2. 9 × (-3) × (-6)

(a) 164

(b) 162

(c) 126

(d) 146

3. (-2) × 36 × (-5)

(a) 360

(b) 316

(c) 326

(d) 336

4. 18 × (-27) × 30

(a) -18451

(b) -14680

(c) -14580

(d) -14508

5. (-45) × 55 × (-10)

(a) 24750

(b) 21316

(c) 23457

(d) None of these

6. (-2) × (-4) × (-6) × (-8)

(a) 384

(b) -384

(c) -348

(d) 348

C. Find the value of:

1. 1487 × 327 + (-487) × 327

(a) 3270

(b) 32700

(c) 327000

(d) None of these

2. 28945 × 99 - (-28945)

(a) 2849200

(b) 2894500

(c) 2594700

(d) None of these

D. Complete the following multiplication table:

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

E. 1. Determine the integer whose product with ‘-1’ is 58

(a) 0

(b) -1

(c) 58

(d) -58

2. Determine the integer whose product with ‘-1’ is 0

(a) 1

(b) 0

(c) -1

(d) None of these

3. Determine the integer whose product with ‘-1’ is -225

(a) 0

(b) 1

(c) -225

(d) 225

F. What will be the sign of the product if we multiply together;

1. 8 negative integers and 1 positive integer?

(a) positive

(b) negative

2. 21 negative integers and 3 positive integers?

(a) positive

(b) negative

3. 199 negative integers and 10 positive integers?

(a) positive

(b) negative

G. State which is greater:

1.
(8 + 9) × 10 and 8 + 9 × 10

(a) (8 + 9) × 10

(b) 8 + 9 × 10

2.
(8 – 9) × 10 and 8 - 9 × 10

(a) (8 – 9) × 10

(b) 8 - 9 × 10

3. {(-2) - 5} × (-6) and (-2) - 5 × (-6)

(a) {(-2) - 5} × (-6)

(b) (-2) - 5 × (-6)

H. 1. If a × (-1) = -30, is the integer a positive or negative?

2. If a × (-1) = 30, is the integer a positive or negative?

I. Verify the following:

1. 19 × {7 + (-3)} = 19 × 7 + 19 × (-3)

2. (-23) {(-5) + (+19)} = (-23) × (-5) + (-23) × (+19)

J. True or False:

1. The product of a positive and a negative integer is negative.

2. The product of three negative integers is a negative integer.

3. Of the two integers, if one is negative, then their product must be positive.

4. For all non-zero integers a and b, a x b is always greater than either a or b.

5. The product of a negative and a positive integer may be zero.

6. There does not exist an integer b such that for
a > 1, a × b = b × a = b.

Students can check the answers of the worksheet on multiplication of integers given below to make sure that the answers are correct.

A. 1. 70

2. -120

3. 225

4. -968

B. 1. -24

2. 162

3. 360

4. -14580

5. 24750

6. 384

C. 1. 327000

2. 2894500

D. Yes

E. 1. -58

2. 0

3. 225

F. 1. positive

2. negative

3. negative

G. 1. (8 + 9) x 1 0

2. (8 -9) x 10

3. [(-2)-5] x(-6)

H. 1. positive

2. negative

J. 1. True

2. True

3. False

4. False

5. False

6. True

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