Mastering the Order of Operations with Integers

This video tutorial covers the order of operations with integers, emphasizing the importance of following the correct sequence: parentheses, exponents, multiplication/division (left to right), and addition/subtraction (left to right). The instructor provides several example problems, each demonstrating different aspects of the order of operations, including handling negative numbers, absolute values, and nested operations. The tutorial aims to clarify common misconceptions and ensure students can accurately evaluate expressions involving integers.

What is the first step in the order of operations?

• Perform all exponent operations

• Multiply or divide from left to right

• Work inside grouping symbols

• Add or subtract from left to right

In the order of operations, which operations are performed at the same level?

• Exponents and addition

• Subtraction and exponents

• Multiplication and division

• Addition and multiplication

What is the result of evaluating 7 + (-2)^2 + (-9) + 1^2?

• 3

• 7

• 5

• 9

When adding integers, what is usually easier to do first?

• Add numbers with different signs

• Add numbers with the same sign

• Subtract numbers with the same sign

• Subtract numbers with different signs

What is the result of evaluating (-7 + 4 - 2) * 5 / (-10 - (-5))?

• 5

• 7

• 9

• 3

What is the result of evaluating 1 + (28 - 1) / (6 - (-3))?

• 5

• 4

• 3

• 2

What is the result of evaluating 6 * (-8) - ((-8 * 2) / 4 - 21 / 3)?

• -17

• -37

• -27

• -47

What is the result of evaluating 3 * |(-1)^3 + 2 * (-7)| + 10?

• 45

• 35

• 55

• 65

What is the absolute value of -15?

• -15

• 30

• 0

• 15

What is the result of evaluating 2 - |(-1 + 7 * 3) / (6 - 7) * (-1)|?

• -18

• -38

• -28

• -8