
- 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
Introduction to Inequalities
An inequality is a mathematical statement which shows that two values are not equal.
a ≠ b means that a is not equal to b. It means that either a is less or greater than b.
There are special symbols that show how things are not equal.
a < b means that a is less than b
a > b means that a is greater than b
a ≤ b means that a is less than or equal to b
a ≥ b means that a is greater than or equal to b
To compare two numbers, we use the symbols, <, > or =.
Use <, >, or = to compare the numbers given below
18 | 21 |
72 | 38 |
109 | 163 |
Step 1:
Since 18 is less than 21 we write 18 󠄀< 21
Step 2:
As 72 is greater than 38, we write 72 > 38
Step 3:
As 109 is less than 163, we write 109 < 163
Use <, >, or = to compare the numbers given below
15 | 23 |
67 | 41 |
127 | 199 |
336 | 153 |
Solution
Step 1:
Since 15 is less than 23 we write 15 󠄀< 23
Step 2:
As 67 is greater than 41, we write 67 > 41
Step 3:
As 127 is less than 199, we write 127 < 199
Step 4:
As 336 is greater than 153, we write 336 > 153
Use <, >, or = to compare the numbers given below
29 | 18 |
78 | 97 |
172 | 146 |
331 | 463 |
Solution
Step 1:
Since 29 is greater than 18, we write 29 󠄀> 18
Step 2:
As 78 is less than 97, we write 78 < 97
Step 3:
As 172 is greater than 146, we write 172 > 146
Step 4:
As 331 is less than 463, we write 331 > 463