Understanding Absolute Value Expressions

This video tutorial explains how to simplify absolute value expressions by treating them as grouping symbols and following the order of operations. It provides several examples, each demonstrating different complexities, such as handling negative numbers, nested operations, and multiple arithmetic operations within absolute values. The tutorial emphasizes that absolute values are always positive and guides viewers through step-by-step simplifications, ensuring a clear understanding of the process.

What is the absolute value of a number?

• The distance of the number from zero

• The number itself

• The negative of the number

• The square of the number

How do we treat absolute values when simplifying expressions?

• As variables

• As grouping symbols or parentheses

• As fractions

• As exponents

In Example A, what is the result of 3 times the absolute value of -6?

• 24

• 6

• 18

• 12

In Example B, what is the first step in simplifying the expression?

• Evaluate the absolute values

• Subtract the numbers

• Multiply the numbers

• Simplify inside the absolute values

What is the result of 4 times the absolute value of -8 minus 6 times the absolute value of 4?

• 24

• 16

• 8

• 32

In Example C, what is the result of the expression: absolute value of 9-5 minus the absolute value of 7-6?

• 2

• 3

• 4

• 5

In Example D, what is the result of 9 minus the absolute value of 8 minus 4 times 2?

• 0

• 1

• 9

• 8

In Example E, what is the first operation to perform inside the absolute value?

• Divide by 5

• Add 2 and 3

• Multiply by 2

• Subtract 7

What is the result of 3 plus the absolute value of 2 times 5 minus 7?

• 5

• 6

• 3

• 8

What is the final result of the expression in Example E?

• 8

• 5

• 6

• 7