
Evaluate the Following:

– 8 – (-11)

3.5 – 10.4

7 – 7
-8 + 11 = 3
-6.9
0

Section 1-6: Multiplying and Dividing
Real Numbers

(+) * (+) = (+)
(- ) * (-) = (+)
(+) * (-) = (-)
(-) * (+) = (-)
Examples:
8 * 3 = 24
-6 * 3 = -18
-4 * -5 = 20
9 * -2 = -18

(+) / (+) = (+)
(- ) / (-) = (+)
(+) / (-) = (-)
(-) / (+) = (-)
Examples:
9 / 3 = 3
-6 / 3 = -2
-15 / -5 = 3
10 / -2 = -5

For every nonzero real number a, there is exactly one number
1 that 𝑎 ∗
1 𝑎 such 𝑎
= 1.
8 ∗
1
8
= 1
1 is called the reciprocal or multiplicative
Write the reciprocal of each number.

7 =
1
7


2
3
= 3
2
−4
=
3
−3
4

Another way to divide numbers is the multiply by reciprocals.



Example:
4
5
3
÷
10
=



Example:
5
9
÷ (−3) =
4
5
∗
10
3
=
40
15
=
8
3
5
9
∗
1
−3
=
5
−27

Let a represent any real number.
The product of any real number and zero is zero.
a * 0 = 0
Zero divided by any nonzero real number is zero to 0.
0 𝑎
= 0 where a is not equal
Division by zero is undefined (not possible).
Zero doesn’t have a reciprocal.


1-6 Worksheet:

1-11, 15-22, 26-34, 38, 40