Order of Operations with Integers

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is commonly used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the term 'parentheses' mean in the context of order of operations?

Back

Parentheses are symbols used to group numbers and operations together. Calculations inside parentheses should be performed first according to the order of operations.

Front

How do you perform division and multiplication in the order of operations?

Back

Division and multiplication are performed from left to right as they appear in the expression. They are of equal precedence.

Front

What is the result of the expression 50 − 16 ÷ 2 ∗ (12 + 4)?

Back

The result is 50 − 8 ∗ 16 = 50 − 128 = -78.

Front

How do you simplify the expression -8 + (6 - 9) ÷ 3?

Back

First, calculate inside the parentheses: 6 - 9 = -3. Then, divide: -3 ÷ 3 = -1. Finally, add: -8 + (-1) = -9.

Front

What is the result of -42 ÷ (-6) + 5 - 8?

Back

The result is 4.

Front

What is the significance of the expression 2 + (9² - 4)?

Back

First, calculate the exponent: 9² = 81. Then, subtract: 81 - 4 = 77. Finally, add: 2 + 77 = 79.

Front

How do withdrawals affect a checking account balance?

Back

Withdrawals decrease the balance of a checking account. Each withdrawal reduces the total amount available.

Front

If Hannah made four withdrawals of $20 and wrote a check for $215, how much did her account decrease?

Back

Her account decreased by $295 (4 * 20 + 215 = 80 + 215 = 295).

Front

What is the first step in solving an expression with multiple operations?

Back

The first step is to evaluate any expressions inside parentheses.