order of operations

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 'base' mean in exponents?

Back

In an expression like 2^3, the base is the number that is multiplied by itself. Here, 2 is the base.

Front

What does the term 'exponent' mean in exponents?

Back

In an expression like 4^2, the exponent indicates how many times the base is multiplied by itself. Here, 2 is the exponent.

Front

Calculate: 3 + 5 x 2

Back

13 (First, multiply 5 x 2 = 10, then add 3.)

Front

Calculate: (6 + 2) x 3

Back

24 (First, add 6 + 2 = 8, then multiply by 3.)

Front

What is 5 x 5 x 5 x 5 in exponential form?

Back

5^4 (This means 5 is multiplied by itself 4 times.)

Front

Evaluate: 10 - 3 x 2 + 1

Back

5 (First, multiply 3 x 2 = 6, then subtract from 10 to get 4, and finally add 1.)

Front

What is the result of 8 ÷ 2 x 4?

Back

16 (First, divide 8 by 2 to get 4, then multiply by 4.)

Front

If 2^3 = 8, what is the base?

Back

2 (The base is the number that is raised to the power.)

Front

If 4^2 = 16, what is the exponent?

Back

2 (The exponent tells how many times the base is used as a factor.)