6th Grade Exponents & Order of Operations

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 5^2, 5 is the base and 2 is the exponent, meaning 5 is multiplied by itself 2 times (5 * 5 = 25).

Tags

CCSS.6.EE.A.1

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 common acronym to remember this is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Tags

CCSS.7.NS.A.3

Front

How do you simplify an expression with both exponents and operations?

Back

Follow the order of operations: first calculate any expressions in parentheses, then evaluate exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Tags

CCSS.8.EE.A.1

Front

What is the value of 5^2 + 10 ÷ 5 × 2?

Back

The value is 29. First, calculate 10 ÷ 5 = 2, then 2 × 2 = 4, and finally 25 (from 5^2) + 4 = 29.

Tags

CCSS.7.NS.A.3

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and performing operations according to the order of operations.

Tags

CCSS.7.EE.A.1

Front

What is the result of 25 - (12 ÷ 4) + 4 × 2?

Back

The result is 30. First, calculate 12 ÷ 4 = 3, then 4 × 2 = 8, and finally 25 - 3 + 8 = 30.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the value of 3^2?

Back

The value of 3^2 is 9, as it means 3 multiplied by itself (3 × 3).

Tags

CCSS.6.EE.A.1

Front

What is the value of 2^3?

Back

The value of 2^3 is 8, as it means 2 multiplied by itself three times (2 × 2 × 2).

Tags

CCSS.6.EE.A.1

Front

How do you evaluate the expression 20 - 8 + 6?

Back

To evaluate the expression, perform the operations from left to right: 20 - 8 = 12, then 12 + 6 = 18.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the difference between multiplication and division in the order of operations?

Back

Multiplication and division are of equal precedence in the order of operations and are performed from left to right as they appear in the expression.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2