Add/Subt/Multi/Divide Real Numbers

Adding/Subtracting/

Multiplying/Dividing Real Numbers

Learning Objective-

I can find the sums and differences of real numbers.

Learning Objective-

I can find the products and quotients of real numbers.

Vocabulary-

-Absolute Value

-Opposites

-Additive Inverses

-Multiplicative Inverse

-Reciprocal

Absolute Value-

The absolute value of a number is its distance from 0 on a number line. Absolute value is always nonnegative since distance is always nonnegative.
Example-the absolute value of 4 is 4 and the absolute value of -4 is also 4.
Absolute value symbol-

 $\left|4\right|=4$   and  $\left|-4\right|=4$  

Opposites-

Two numbers that are the same distance from 0 on a number line but lie in opposite directions.

Additive Inverse-

A number and its opposite.

Inverse Property of Addition-

For every real number a, there is an additive inverse -a.

Example-

 $a+\left(-a\right)=-a+a=0$  

 $14+\left(-14\right)=0$  

Multiplicative Inverse-

The inverse property of multiplication describes the relationship between a number and its multiplicative inverse.

Reciprocal-

 $\frac{a}{b}=\frac{b}{a}$  

The product of a number and its reciprocal is 1, so the reciprocal of a number is its multiplicative inverse.

Go to blackboard to watch 1.5 and 1.6 instruction

Multiple Choice

7 + (-10)

• -17

• -3

• 3

• 17

Multiple Choice

-0.7 + 1.5

• -2.2

• -0.8

• 0.8

• 2.2

Multiple Choice

-3.7 + (-5.1)

• -8.8

• -1.4

• 1.4

• 8.8

Multiple Choice

-6 + (-3)

• -10

• -8

• -9

• 10

Multiple Choice

5 - (-6)

• 11

• 10

• -11

• -10

Multiple Choice

A negative divided by a positive is a ________

• positive
• negative

Multiple Choice

If p is positive and n is negative, pn is

• positive

• negative

• zero

• undefined

Multiple Choice

If b = (-3) and c = (-1/2), find bc.

• 3/2

• -3/2

• 6

• -6

Multiple Choice

If a = 4 and b = (-3), find ab.

• -12

• 12

• -3/4

• -4/3