5.1 and 5.2 Practice!

Determine whether the expression |83| equals 83 or -83.

• Equals 83

• Equals -83

• Equals 0

• Equals 1

Answer explanation

Absolute value is the distance a number is from 0. DISTANCE IS NEVER NEGATIVE!

Which of the following is always a positive value?

• Absolute value

• Negative value

• Zero

• Subtraction

Select all expression that equal -12?

• |12|

• -|12|

• -|-12|

• 12

• -12

Answer explanation

-12 is equal because it's the same number.

The other two are equal to -12 because after you take the absolute value of 12 or -12, the answer is positive 12. Then, you have to notice there is a negative sitting on the outside, making their values -12.

Caitlyn went on an adventure through a park. Use absolute value to determine at which part of her park trip she was furthest from sea level.

• She dove 56 feet below sea level in the lake.

• She hiked up a small hill to an elevation of 23 feet above sea level.

• She had a picnic at sea level.

• She hiked down a canyon, which was 10 feet below sea level.

Answer explanation

Notice it said FURTHEST from sea level. Sea level would be considered "0". So, -56 (negative because it is BELOW sea level) would be the furthest.

Remember, you're using absolute value for each of the options given.

Determine whether the statement "6 < -7" is true or false.

• True

• False

Answer explanation

A positive is ALWAYS greater than a negative.

Determine whether the statement "-5 is greater than 2" is true or false.

• True

• False

Answer explanation

A negative is ALWAYS less than a positive.

Determine whether the statement "-7 < -2" is true or false.

• True

• False

Answer explanation

When you have two negative numbers, view is as debt you're comparing. Having $7 worth of debt makes you have less money than $2 worth of debt.

So -7 is less than -2.

You can also view it as the opposite of positive numbers:

7 is greater than 2, but -7 is less than -2.

How many of the statements below are not listed from least to greatest? Select all that apply.

• -7, -3, -2, 1

• -0.1%, -0.15%, -0.42%, -0.8%, -1%

• -1 and 2/5, -6/8, -1/2, -6/15, 0

• -4/8, -3 3/5, 7/8

• -1.05, -0.8, -1, -0.43, -0.2, -0.04

Answer explanation

View negative numbers as debt! The less debt you have, the better. The more debt you have, the less money you have.

View negative numbers as opposites as positive. If 3 is greater than 2, then negative three is less than -2.

What's a way to define absolute value?

• The opposite of a number
• The distance of a number from zero

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

CCSS.6.NS.C.8

• F

• G

• H

• J