Order of operations with exponents and whole numbers

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 acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the term 'exponent' mean?

Back

An exponent is a number that shows how many times a base number is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

Calculate: 3 + 4 x 2

Back

11 (According to the order of operations, multiplication is done before addition.)

Front

What is the value of 4^2?

Back

16 (4 raised to the power of 2 means 4 x 4.)

Front

Evaluate: (5 + 3) x 2

Back

16 (First, add 5 and 3, then multiply the result by 2.)

Front

True or False: 2^4 is the same as 2 x 4.

Back

False (2^4 means 2 x 2 x 2 x 2, not 2 x 4.)

Front

What operation should be performed first in the expression: 10 - 2 + 3?

Back

Subtraction (According to the order of operations, perform subtraction before addition.)

Front

Calculate: 8 ÷ 2 + 3 x 4

Back

20 (First, divide 8 by 2, then multiply 3 by 4, and finally add the results.)

Front

What is the result of 6 + (2^3 - 1)?

Back

13 (First, calculate 2^3, then subtract 1, and finally add 6.)

Front

Evaluate: 12 ÷ (2 + 4) x 3

Back

6 (First, add 2 and 4, then divide 12 by the result, and finally multiply by 3.)