1-5

Adding and Subtracting Real Numbers

to find sums and differences of real numbers

Vocab

The Absolute Value of a number is its distance from 0 on a number line.

Always non-negative since distance is always positive

Adding Numbers with the SAME Sign

Add their absolute values the sum has the same signs as the things being added

3 + 4 = 7

-3 + (-4) = -7

Multiple Choice

-16 + (-2)

• 18

• 14

• -18

Multiple Choice

-1 + (-4)

• -5

• -2

• 5

Adding Numbers with Different Signs

Subtract their absolute values. The sum has the same sign as the numbers being added with the greater absolute value.

Ex: -3 + 4 = 1

Ex: 3 + (-4) = -1

Multiple Choice

-11 + 9

• 18

• -2

• 20

Adding and subtracting rules

Same Sign

Add

Keep that sign

Different Signs

Subtract

Larger sign

Subtracting Real Numbers

Add its opposite

Ex: 3 - 5 = 3 + (-5) = -2

Ex: 3 - (-5) = 3 + 5 = 8

Multiple Choice

-3 - 5

• -8

• -5

• 2

Multiple Choice

-4 - 1

• -5

• -2

• 5

Double Negative Rule

When you see

-4 - - 5 =

or

-4 - (-5)

it means subtract a negative 5, so it changes it to +.

-4 + 5

Multiple Choice

-7 - (-9)

• -5

• -2

• 2