Order of Operations with Rational Numbers

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

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. It is the order in which operations should be performed in a mathematical expression.

Tags

CCSS.7.NS.A.3

Front

Solve: 3 + 4 x 6 - 4

Back

The first step is multiplication: 4 x 6 = 24. Then, 3 + 24 - 4 = 23.

Tags

CCSS.7.NS.A.3

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Tags

CCSS.5.NBT.A.2

Front

Solve: 23 + (30 ÷ 10) x 4

Back

First, divide: 30 ÷ 10 = 3. Then multiply: 3 x 4 = 12. Finally, add: 23 + 12 = 35.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the first step in solving (4 x 8) - (9 + 7)?

Back

The first step is to solve the expressions inside the parentheses: (4 x 8) = 32 and (9 + 7) = 16.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

Solve: 3(4.8) - 2(1.03)

Back

First, calculate: 3 x 4.8 = 14.4 and 2 x 1.03 = 2.06. Then, subtract: 14.4 - 2.06 = 12.34.

Tags

CCSS.7.NS.A.3

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in a mathematical expression, ensuring clarity and accuracy in calculations.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

Solve: 3[2.5 + (5.3 - 3.9)]

Back

First, solve inside the parentheses: (5.3 - 3.9) = 1.4. Then, add: 2.5 + 1.4 = 3.9. Finally, multiply: 3 x 3.9 = 11.7.

Tags

CCSS.7.NS.A.3

Front

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

Back

In the order of operations, multiplication is performed before addition. This means that in an expression, you should calculate multiplication first, then add.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2