Understanding Absolute Value and Order of Operations

The video tutorial explains how to simplify an expression involving absolute values, exponents, multiplication, and subtraction. It follows the order of operations, starting with simplifying exponents, then performing multiplication and subtraction. The tutorial also covers handling negative sums by converting subtraction into the addition of negative numbers. Finally, it concludes with finding the absolute value of the result, emphasizing that absolute values are always positive.

What is the first step in simplifying an expression with absolute values?

• Add all numbers first

• Simplify the expression outside the absolute value

• Multiply all numbers first

• Simplify within the innermost parentheses or grouping symbols

When simplifying expressions with exponents, what should be done first?

• Simplify the exponents

• Multiply the exponents

• Add the exponents

• Divide the exponents

What is the result of 3 * 25 inside the absolute value?

• 125

• 50

• 75

• 100

What operation is performed after simplifying exponents inside absolute values?

• Multiplication

• Division

• Subtraction

• Addition

What is the result of 6 * 64 inside the absolute value?

• 512

• 256

• 128

• 384

How can subtraction be rewritten to simplify calculations?

• As division of a positive number

• As addition of a positive number

• As multiplication of a negative number

• As addition of a negative number

Why is the sum of 75 and -384 negative?

• Because both are positive

• Because both are negative

• Because -384 is larger

• Because 75 is larger

What is the absolute value of -309?

• -309

• 39

• 309

• 0

What is the absolute value of a number?

• The number itself

• The negative of the number

• The distance from zero

• The sum of the number and zero

What is the final step in finding the absolute value of a result?

• Finding the distance from zero

• Adding the result to zero

• Subtracting the result from zero

• Multiplying the result by zero