Comparing 2-digit numbers
Comparing 2-digit numbers involves determining which number is larger, smaller, or if they are equal. The process typically follows these steps:
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Place Value: First, look at the tens place of each number. The number with the larger digit in the tens place is the greater number.
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Comparison of Tens: If both numbers have the same digit in the tens place, move to the ones place to compare those digits.
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Comparison of Ones: The number with the larger digit in the ones place is the greater number.
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Equal Numbers: If both the tens and ones digits are the same, the numbers are equal.
For example, to compare 34 and 42:
- Tens: 3 vs. 4 (4 is larger)
- Conclusion: 42 is greater than 34.
Part 1: Greater than and less than symbols
Key Points for Greater Than and Less Than Symbols:
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Symbols:
- Greater than:
> - Less than:
<
- Greater than:
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Basic Meaning:
>means the number on the left is larger than the number on the right.<means the number on the left is smaller than the number on the right.
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Direction:
- The pointed end of the symbol always points towards the smaller number.
- The wide end points towards the larger number.
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Examples:
- 5 > 3 (5 is greater than 3)
- 2 < 4 (2 is less than 4)
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Equal Comparison:
- Equals symbol:
= - Greater than or equal to:
≥ - Less than or equal to:
≤
- Equals symbol:
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Multiple Values:
- When comparing multiple numbers, you can chain inequalities (e.g., 2 < 3 < 5).
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Practical Applications:
- Used in mathematics, programming, and data analysis to compare values.
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Visual Representation:
- Can be represented on a number line, with greater values to the right and lesser values to the left.
By understanding these key points, one can effectively work with greater than and less than symbols in various mathematical contexts.