Exploring Integers and Absolute Value Concepts

What does the absolute value of a number represent?

• The number itself

• The distance from the number to zero on a number line

• The negative of the number

• The sum of the number and zero

If the absolute value of -5 is 5, what is the absolute value of 5?

• 10

• -5

• 0

• 5

How many hops are needed to move from -7 to 8 on a number line?

• 15

• 1

• 8

• 7

What is the distance between -3 and -10 on a number line?

• 7

• 10

• 13

• 3

Why is it inefficient to use a number line for large numbers like -27 and 45?

• It is not accurate

• It is difficult to count the hops

• It takes too much time to draw

• Both A and B

How can absolute value simplify finding the distance between two numbers?

• By multiplying the numbers

• By dividing the numbers

• By subtracting the numbers and taking the absolute value of the result

• By adding the numbers

What is the result of subtracting -27 from 45?

• 18

• 72

• 27

• -72

What is the absolute value of -72?

• 72

• -72

• 0

• 144

What is the distance between -63 and -115?

• 52

• 178

• 115

• 63

Why is distance always reported as a positive number?

• Because it represents a physical measurement

• Because negative distances do not exist

• Because it is a convention

• All of the above