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 dictates the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, first perform the operations inside the parentheses. Then, follow the Order of Operations to simplify the rest of the expression.

Front

What is the value of 9 squared?

Back

9 squared (9^2) is equal to 81.

Front

How do you multiply two negative numbers?

Back

When you multiply two negative numbers, the result is positive. For example, -3 * -5 = 15.

Front

What is the result of multiplying a negative number by a positive number?

Back

When you multiply a negative number by a positive number, the result is negative. For example, -3 * 5 = -15.

Front

What does it mean to divide by a negative number?

Back

Dividing by a negative number changes the sign of the result. For example, 10 ÷ -2 = -5.

Front

How do you handle multiple operations in a single expression?

Back

You should follow the Order of Operations (PEMDAS) to handle multiple operations: first solve any operations in parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Front

What is the result of -8(2 - 5) ÷ (-4)?

Back

The result is -6. First, calculate (2 - 5) = -3, then -8 * -3 = 24, and finally 24 ÷ -4 = -6.

Front

How do you simplify the expression -8(-3 + -10)?

Back

First, simplify inside the parentheses: -3 + -10 = -13. Then, multiply: -8 * -13 = 104.

Front

What is the result of -56 ÷ (-7)?

Back

The result is 8. Dividing two negative numbers gives a positive result.