- Ordering Rounding and Order of Operations
- Home
- Introduction to Inequalities
- Comparing a Numerical Expression With a Number
- Ordering Large Numbers
- Rounding to Tens or Hundreds
- Rounding to Hundreds or Thousands
- Rounding to Thousands, Ten Thousand, or Hundred Thousand
- Estimating a Sum of Whole Numbers
- Estimating a Difference of Whole Numbers
- Estimating a Product of Whole Numbers
- Estimating a Quotient of Whole Numbers
- Writing Expressions Using Exponents
- Introduction to Exponents
- Power of 10: Positive Exponent
- Power of 10: Negative Exponent
- Introduction to Parentheses
- Comparing Numerical Expressions With Parentheses
- Introduction to Order of Operations
- Order of Operations With Whole Numbers
- Order of Operations With Whole Numbers and Grouping Symbols
- Order of Operations With Whole Numbers and Exponents: Basic
Comparing Numerical Expressions With Parentheses
Compare
| (6 | + | 4) | ÷ | 2 | 3 | + | (7󠄀 | − | 2) |
using the symbols <, >, =
Solution
Step 1:
We first simplify the parentheses in first expression.
6 + 4 = 10
Step 2:
So (6 + 4) ÷ 2 = 10 ÷ 2 = 5
Step 3:
Next we simplify the parentheses in second expression
7 󠄀− 2 = 5
Step 4:
So 3 + (7 − 2) = 3 + 5 = 8
Step 5:
Since 5 < 8, the correct comparison is
(6 + 4) ÷ 2 < 3 + (7󠄀 − 2)
Compare
| (13 | - | 4) | ÷ | 3 | 20 | - | 6 | x | (1 | + | 2) |
using the symbols <, >, =
Solution
Step 1:
We first simplify the parentheses in first expression.
13 − 4 = 9
Step 2:
So (13 − 4) ÷ 3 = 9 ÷ 3 = 3
Step 3:
Next we simplify the parentheses in second expression
1 + 2 = 3
Step 4:
So 20 – 6 × (1 + 2) = 20 – 6 × 3 = 20 – 18 = 2
Step 5:
Since 3 > 2, the correct comparison is
(13 − 4) ÷ 3 > 20 – 6 × (1 + 2)
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