Order of Operations and Numerical Expressions

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that tells you the correct sequence to evaluate a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

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CCSS.7.NS.A.3

Front

What does 'numerical expression' mean?

Back

A numerical expression is a combination of numbers and operations (like addition, subtraction, multiplication, and division) that represents a value.

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CCSS.6.EE.A.1

Front

What is the first step in solving an expression with parentheses?

Back

The first step is to solve the operations inside the parentheses.

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CCSS.6.EE.A.2C

Front

How do you express 'two times the difference of ten and three' mathematically?

Back

2 x (10 - 3)

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the result of the expression 8 x 12 - 4?

Back

The result is 92.

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CCSS.7.NS.A.3

Front

How do you express 'one half the sum of ten and three' mathematically?

Back

(10 + 3) ÷ 2

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CCSS.5.OA.A.2

CCSS.5.OA.A.1

Front

What is the total number of apples in 20 bins if each bin has 25 red apples and 30 green apples?

Back

20 x (25 + 30) = 20 x 55 = 1100 apples.

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CCSS.6.NS.B.4

Front

What does it mean to 'evaluate' an expression?

Back

To evaluate an expression means to calculate its value by performing the operations in the correct order.

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CCSS.6.EE.A.2C

Front

What is the difference between multiplication and addition in terms of grouping numbers?

Back

Multiplication groups numbers together to find a total of equal groups, while addition combines numbers to find a total.

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CCSS.3.OA.A.1

Front

What is the value of the expression 2 x (10 - 3)?

Back

The value is 14.

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CCSS.5.OA.A.1

CCSS.5.OA.A.2