Absolute Value Equations, Adding and Subtracting Integers

The distance a number is from zero on a number line is defined as:

• integer

• negative

• operation

• absolute value

What is the absolute value of |-99|.

• 99

• -99

• 0

• It doesn't have one

− | -13 | =

• 0

• 13

• undefined

• − 13

A scuba diver dove down 25 feet, then swam up 11 feet. Which equation represents this and the diver's current position?

• -25 + - 11 = -36

• -25 + 11 = -14

• -25 + 11 = -36

• -25 + 11 = 14

When a submarine starts at sea level, goes down 250 feet, rises 80 feet, and descends another 18 feet, how would this be shown mathematically?

• 250 + 80 + (-18)

• -250 + 80 - (- 18)

• 250 + -( 80) + (- 18)

• -250 + 80 + (-18)

What is the distance between -8 and its opposite?

• 8

• -8

• 16

• -16

5 - (-12)

• -7

• 7

• 17

• -17

-632 + 632 =

• 1264

• -1264

• -1

• 0

Step 1: Add your numbers
Step 2: Keep your signs
These steps apply to which rule?

• Adding Integers Rule (for same signs)

• Subtracting Integers Rule (for same signs)

• Multiplying Integers Rule (for same signs)

• Dividing Integers Rule (for same signs)

What is the rule for adding integers with different signs?

• Negative plus negative = positive

• Add and keep the sign of the bigger number

• Subtract and keep the sign of the number with the greater absolute value

• Positive plus negative = negative