Math expressions use grouping symbols like brackets [], braces {} and parentheses (). We now evaluate expressions involving order of operations with whole numbers using such grouping symbols.
Evaluate the following expression
[3 +(15 + 6) ÷ 7] × 4
Step 1:
We must follow the rule of order of operations PEMDAS.
We start with the innermost grouping, the parentheses (15 + 6)
[3 +(15 + 6) ÷ 7] × 4 =
[3 + 21 ÷ 7] × 4
Step 2:
We next evaluate the remaining grouping, brackets [3 + 21 ÷ 7]
Step 3:
We perform all multiplication and division before any addition or subtraction
[3 + 21 ÷ 7]
[3 + 3]=
6
Step 4:
We then evaluate the last expression
6 × 4 = 24
Step 5:
So [3 +(15 + 6) ÷ 7] × 4 = 24
Evaluate the following expression
[37󠄀 − (12 − 9) × 3] ÷ 7󠄀
Step 1:
We follow the rule of order of operations PEMDAS.
We start with the innermost grouping, the parentheses (12 − 9)
[37 −(12 − 9) × 3] ÷ 7 =
[37 − 3 × 3] ÷ 7
Step 2:
We next evaluate the remaining grouping, brackets [37 −3 × 3]
Step 3:
We perform all multiplication and division before any addition or subtraction
[37󠄀 − 3 × 3]=
[37󠄀 − 9] =
28
Step 4:
We then evaluate the last expression
28 ÷ 7 = 4
Step 5:
[37󠄀 − (12 − 9) × 3] ÷ 7󠄀 = 4