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1.14 Multiplication and division of integers

Worksheet
Multiplication of integers
1

Are the following statements true or false?

a

The product of a positve number with a negative number is negative.

b

The product of an even number of negative numbers is negative.

2

State whether the following expressions will be positive or negative:

a

\left(-147\right) \times 183

b

\left(-151 \right) \times \left( - 185 \right)

c

\left( - 180 \right) \times \left( - 168 \right)

d

157 \times \left( - 142 \right)

e

635 \times 845

f

\left(-280 \right) \times \left( - 260 \right)

g

292 \times \left( - 605 \right)

h

\left(-842\right) \times 384

3

Consider the equation 6 \times 4 = 24, to find the value of the following:

a

\left( - 6 \right) \times 4

b

6 \times \left( - 4 \right)

c

\left( - 6 \right) \times \left( - 4 \right)

4

Evaluate:

a
12 \times 3
b
6 \times 12
c
- 9 \times 0
d
- 26 \times 0
e
- 9 \times 1
f
8 \times \left( - 12 \right)
g
25 \times \left( - 10 \right)
h
3 \times \left( - 3 \right)
i
6 \times \left( - 6 \right)
j
11 \times \left( - 1 \right)
k
- 9 \times \left( - 11 \right)
l
- 4 \times \left( - 11 \right)
m
\left( - 4 \right) \times \left( - 4 \right)
n
- 12 \times \left( - 12 \right)
o

5 \times \left( - 9 \right)

p

\left( - 12 \right) \times \left( - 10 \right)

5

Evaluate:

a
- 11 \times 5 \times 3
b
12 \times 3 \times 4
c
- 3 \times \left( - 1 \right) \times \left( - 9 \right)
d
4 \times \left( - 7 \right) \times 5
e
- 3 \times 4 \times \left( - 3 \right)
f
\left( - 6 \right) \times \left( - 8 \right) \times \left( - 3 \right)
g
\left( - 2 \right) \times \left( - 2 \right) \times \left( - 2 \right)
h
- 8 \times \left( - 5 \right) \times \left( - 3 \right) \times 6
Division of integers
6

Is the quotient of a positive integer and a negative integer positive or negative?

7

State whether the following expressions will be positive or negative:

a

\left( - 2432 \right) \div 32

b

\left( - 855 \right) \div \left( - 15 \right)

c

1587 \div \left( - 23 \right)

d

\left( - 7614 \right) \div \left( - 81 \right)

e

4930 \div 100

f

\left( - 5590 \right) \div 10

g

3280 \div \left( - 144 \right)

h

\left( - 3780 \right) \div \left( - 70 \right)

8

Consider the equation 42 \div 7 = 6, to find the value of the following:

a

\left( - 42 \right) \div 7

b

42 \div \left( - 7 \right)

c

\left( - 42 \right) \div \left( - 7 \right)

9

Evaluate:

a
8 \div 4
b
21 \div \left( - 7 \right)
c
\left( - 22 \right) \div 11
d
\left( - 50 \right) \div \left( - 10 \right)
e
\left( - 2 \right) \div \left( - 2 \right)
f
\left( - 2 \right) \div 1
g
4 \div \left( - 1 \right)
h
0 \div \left( - 36 \right)
10

Evaluate:

a
\dfrac{- 60}{10}
b
\dfrac{108}{12}
c
\dfrac{42}{- 7}
d
\dfrac{- 48}{- 12}
e
\dfrac{- 11}{- 11}
f
\dfrac{- 8}{8}
g
\dfrac{- 11}{1}
h
\dfrac{10}{- 1}
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Outcomes

MA.6.NSO.4.2

Apply and extend previous understandings of operations with whole numbers to multiply and divide integers with procedural fluency.

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