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

How do you simplify the expression -56 ÷ (-7) - (-3)?

Back

First, divide -56 by -7 to get 8. Then, subtract -3 (which is the same as adding 3). So, 8 + 3 = 11.

Front

What is the mistake in the calculation: 5 - 3 + 2 = 5 - 5 = 0?

Back

The mistake is that addition was done before subtraction. According to the order of operations, subtraction should be performed first.

Front

How do you calculate the change in a checking account after multiple withdrawals and a check?

Back

To find the change, add up all withdrawals and the amount of the check, then subtract this total from the original balance. In this case, 4 withdrawals of $20 and a check for $215 results in a total decrease of $295.

Front

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

Back

First, divide -42 by -6 to get 7. Then, add 5 to get 12, and finally subtract 8 to get 4.

Front

What are the steps to solve the expression 50 − 16 ÷ 2 ∗ (12 + 4)?

Back

1. Solve the parentheses: (12 + 4) = 16. 2. Perform division: 16 ÷ 2 = 8. 3. Perform multiplication: 8 ∗ 16 = 128. 4. Finally, subtract: 50 - 8 = 42.

Front

What does it mean to perform operations from left to right?

Back

When performing operations of the same rank (like addition and subtraction), you should process them from left to right in the order they appear.

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, altering the standard order of operations.

Front

How do you handle negative numbers in division?

Back

When dividing two negative numbers, the result is positive. When dividing a positive number by a negative number, the result is negative.

Front

What is the result of adding a negative number to a positive number?

Back

Adding a negative number to a positive number is equivalent to subtracting the absolute value of the negative number from the positive number.