What is the first step in solving $$3 + 5 \times 2$$ ?

The first step is to perform the multiplication: 5 times 2 equals 10.

An exponent is a number that indicates how many times to multiply the base by itself. For example, in $$2^{3}$$ , 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times: $$2 \times 2 \times 2 = 8$$ .

What is the result of $$4 + 3 \times 2$$ ?

The result is 10, because you perform the multiplication first: 3 times 2 equals 6, then add 4.

What is the purpose of parentheses in mathematical expressions?

Parentheses indicate which operations should be performed first in an expression. For example, in $$(2 + 3) \times 4$$ , you calculate the sum inside the parentheses first.

What is the difference between multiplication and division in the Order of Operations?

Multiplication and division are of equal priority in the Order of Operations and are performed from left to right as they appear in the expression.

What is the result of $$(5 + 3)^{2} - 4$$ ?

The result is 60. First, calculate inside the parentheses: 5 + 3 = 8, then square it: 8^2 = 64, and finally subtract 4.

What does it mean to simplify an expression?

To simplify an expression means to reduce it to its simplest form, combining like terms and performing operations to make it easier to understand.

What is the result of $$12 \, \div \, 4 + 2 \times 3$$ ?

The result is 10. First, divide 12 by 4 to get 3, then multiply 2 by 3 to get 6, and finally add them together: 3 + 6 = 9.

Resource Library

Math

Mixed Operations

Order Of Operations (pemdas)

Order Of Operations

Order of Operations

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

5.OA.A.1, 7.NS.A.3, 6.EE.A.1

Standards-aligned

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FLASHCARD QUESTION

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Tags

CCSS.7.NS.A.3

FLASHCARD QUESTION

Front

What does PEMDAS stand for?

Back

PEMDAS stands for: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Tags

CCSS.6.EE.A.1

FLASHCARD QUESTION

Front

Back

-50

Tags

CCSS.7.EE.B.3

FLASHCARD QUESTION

Front

Back

-8

Tags

CCSS.7.NS.A.1C

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

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