Understanding Absolute Values and Integer Operations

The video tutorial explains how to evaluate expressions involving absolute values. It begins by treating absolute values as grouping symbols and simplifies expressions inside them. Two examples are provided: calculating the absolute value of 3 - 8 and 158 - 305. The tutorial uses number lines and formal rules for adding integers with different signs to demonstrate the process. The absolute value is always positive, representing the distance from zero.

What is the first step in evaluating an expression with an absolute value?

• Add a constant to the expression

• Treat the absolute value as grouping symbols

• Multiply the numbers inside

• Simplify outside the absolute value

How can the expression 3 - 8 be rewritten?

• As 3 + 8

• As 3 + (-8)

• As 8 - 3

• As -3 + 8

On a number line, what does adding a negative number represent?

• Jumping to zero

• Moving to the left

• Staying in place

• Moving to the right

What is the absolute value of a number?

• The negative of the number

• The number itself

• The distance from zero

• The sum of the digits

When adding integers with different signs, what should you do?

• Add their absolute values

• Multiply the integers

• Divide the larger by the smaller

• Subtract the smaller absolute value from the larger

In the expression 158 - 305, which number determines the sign of the result?

• The smaller absolute value

• The larger absolute value

• 305

• 158

What is the result of subtracting 158 from 305?

• -47

• 147

• -147

• 47

What is the absolute value of -147?

• 1

• 0

• 147

• -147

Why is the absolute value always positive?

• Because it is a distance

• Because it is a sum

• Because it is a product

• Because it is a quotient

What is the final absolute value of the expression 158 - 305?

• 147

• 47

• 158

• 305