 # Worksheet on Multiplying Integers | Multiplication of Integers Worksheet with Answers

Worksheet on Multiplication of Integers has various types of questions on multiplying integers. Printable Multiplying Integers Worksheet will emphasize integer multiplication among 6th-grade students. Exercise Sheets for Integer Multiplication has problems with multiplication squares, filling out missing integers, evaluating expressions, in-out boxes, and many more. Practice these Math Worksheets on Multiplying Integers for free by downloading the PDF Formats.

## Free Worksheets on Multiplying Integers

I. Solve the following
i. (-12) × (-14)
ii. (-5) × (18)
iii. 4× 12 × (-115)
iv. (-13) × (106) using distributive property.

Solution:

i. Here the two numbers are negative. Therefore the product is positive. Therefore, By multiplying (-12) × (-14) we get the product +168.
ii. Here one number is positive and the other number is negative. The result will be negative. Therefore, By multiplying (18) × (-5) we get the product -90.
iii. 4 × 12 × (-115)
By using associative property, we can arrange the given expression as
=12 × 4× (-115)
=48× (-115)
=-5520
Therefore, By multiplying 4 × 12 × (-115) we get the product -5520.
iv. (-13) × (106)
=(-13) × (100 + 6)
By using distributive property,we get
=(-13 × 100) + (-13 × 6)
=(-1300) + (-78)
=-1300-78
=-1378
Therefore, By multiplying (-13) × (106) we get the product -1378.

II. Find the values of the following

i. Find the value of 12 ×(-20) + (-20) × (-5) by using the properties.
ii. Find the value of 25 × (-14) +(-14) × (23)

Solution:

(i) By using commutative property we get
(-20) × 12 + (-20) × (-5)
By using distributive property we get
=(-20)[12+(-5)]
=(-20)[12-5]
=(-20)
=-140
Hence the value of 12 ×(-20) + (-20) × (-5) is -140.

(ii) By using commutative property we get
25 × (-14) + (-14) × 23
By using distributive property we get
=(-14)[25+23]
=(-14)
=-672
Hence the value of 25 × (-14) +(-14) × (23) is -672.

III. Determine each of the following products
i. 13 × 5
ii. 124 × (-17)
iii. (-25) × (-19)
iv. (-1482) × (63)

Solution:

i. 13 × 5=65
Here the two numbers are positive. So the result is positive.
By multiplying 13, 5 we get the product as 65.

ii. Here one number is positive and the other number is negative. The result is negative.
By multiplying 124, -17 we get the product as -2108.
iii. Here the two numbers are negative. The result is positive.
By multiplying 25, 19 we get the product as +475.
iv. Here one number is negative and the other number is positive. The result is negative.
By multiplying -1482 and 63 we get the product as -93366.

IV.
i. Determine the integer whose product with ‘1’ is -64.
a. 32
b. -64
c. 64
ii. Determine the integer whose product with ’24’ is 0.
a. 0
b. 1
c. 24
iii. Determine the integer whose product with ‘-1’ is 380.
a. 360
b. 380
c. -380

Solution:

i. b
ii. a
iii. b

V. What will be the sign of the product if we multiply them together:
i. 10 negative integers and 1 positive integer?
a. positive
b. negative
ii. 7 negative integers and 1 positive integer?
a. positive
b. negative

Solution:

i. positive
ii. negative

Vi. Fill in the blanks
i. 17 × 7=____ × 17
ii. (3 × 5) × 2= 3 × (5 × ___)
iii. 5 ×(5 + 5)=_____
iv. 64 × 0=_____
v. 235 × 1=____
Vi. Multiplication of 14, -9= _____

Solution:

i. 7
ii. 2
iii. 50
iv. 0
v. 235
vi. -126

VII. Find which is greater
i. (8 + 9) × 10 and 8 + 9 × 10
a. (8 + 9) × 10
b. 8 + 9 × 10
ii. (8 – 9) × 10 and 8 – 9 × 10
a. (8 – 9) × 10
b. 8 – 9 × 10
iii. {(-2) – 5} × (-6) and (-2) – 5 × (-6)
a. {(-2) – 5} × (-6)
b. (-2) – 5 × (-6)

Solution:

i. a
ii. a
iii. a

VIII.
i. If a × (-1) = -80, is the integer a positive or negative?
ii. If a × (-1) = 80, is the integer a positive or negative?

Solution:

i. a is positive
ii. a is negative

ix. Verify the true or false.
i. 19 × {7 + (-3)} = 19 × 7 + 19 × (-3)
ii. (-23) {(-5) + (+19)} = (-23) × (-5) + (-23) × (+19)
iii. The product of a positive and a negative integer is negative.
iv. The product of three negative integers is a negative integer.
v. Of the two integers, if one is negative, then their product must be positive.

Solution:

i. T
ii. T
iii. T
iv. T
v. T
vi. T

x. Word Problems on Multiplication
i. A test has 10 questions. Correct answers get +2 and incorrect answers -1. A student answered 4 questions incorrectly. How many points did the student score?
ii. The price of one share of stock fell Rs 6 each day for 7 days. How much value did one share of the stock lose after 7 days?
iii. A telephone company charges a late fee of Rs 25 each time a customer fails to pay on time. A customer missed the payment 3 times last year. At the customer’s request and out of courtesy, the telephone company decides to cancel all late fees for that year. How much money the telephone company will return to the customer?

Solution:

(i) Given,
For 1 correct answer, 2 points will be given.
For 1 incorrect answer, -1 point will be given.
A student answered 4 questions incorrectly i.e. 4 × -1=-4
For 10 correct answers, points will be 10 × 2=20
The points scored by the student is=20 – 4=16
Therefore, the Points scored by the student are 16.
(ii)
Each day, one share of the stock goes down by Rs 6. We can represent this situation with the integer Rs -6.
After 7 days, one share of a stock has gone down by -6 × 7 = -42
One share of a stock is now worth Rs 42 less.
(iii)
The amount of late fee the telephone company charged last year was -25 × 3
In order to return the money, the telephone company can do this math: -25 × -3
The customer will get money=-25 × -3=Rs 75
Therefore, the customer will get money Rs 75.

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