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 

Answer: ________ . 

2. (-15) × 8

(a) -120

(b) -127

(c) 120

(d) 127

Answer: ________ .



3. (-25) × (-9)

(a) 184

(b) -184

(c) -225

(d) 225

Answer: ________ .



4. 121 × (-8)

(a) 264

(b) 1000

(c) -968

(d) -315

Answer: ________ .

B. Find each of the following products:

1. 3 × (-8) × 1

(a) 24

(b) -24

(c) 20

(d) -20

Answer: ________ .



2. 9 × (-3) × (-6)

(a) 164

(b) 162

(c) 126

(d) 146

Answer: ________ .



3. (-2) × 36 × (-5)

(a) 360

(b) 316

(c) 326

(d) 336

Answer: ________ .



4. 18 × (-27) × 30

(a) -18451

(b) -14680

(c) -14580

(d) -14508

Answer: ________ .



5. (-45) × 55 × (-10)

(a) 24750

(b) 21316

(c) 23457

(d) None of these

Answer: ________ .



6. (-2) × (-4) × (-6) × (-8)

(a) 384

(b) -384

(c) -348

(d) 348

Answer: ________ .

C. Find the value of:

1. 1487 × 327 + (-487) × 327

(a) 3270

(b) 32700

(c) 327000

(d) None of these

Answer: ________ .



2. 28945 × 99 - (-28945)

(a) 2849200

(b) 2894500

(c) 2594700

(d) None of these

Answer: ________ .



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

Answer: ________ .



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

(a) 1

(b) 0

(c) -1

(d) None of these

Answer: ________ .



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

(a) 0

(b) 1

(c) -225

(d) 225

Answer: ________ .



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

Answer: ________ .



2. (8 – 9) × 10 and 8 - 9 × 10

(a) (8 – 9) × 10

(b) 8 - 9 × 10

Answer: ________ .

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

(a) {(-2) - 5} × (-6)

(b) (-2) - 5 × (-6)

Answer: ________ .

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.

Answers:

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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However, suggestions for further improvement, from all quarters would be greatly appreciated.

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Integers

Multiplication of Integers

Properties of Multiplication of Integers

Examples on Multiplication of Integers

Division of Integers

Absolute Value of an Integer

Comparison of Integers

Properties of Division of Integers

Examples on Division of Integers

Fundamental Operation

Examples on Fundamental Operations

Uses of Brackets

Removal of Brackets

Examples on Simplification

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Worksheet on Multiplication of Integers

Worksheet on Division of Integers

Worksheet on Fundamental Operation

Worksheet on Simplification

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