Comparing 2-digit numbers
Comparing 2-digit numbers involves evaluating the numerical value of two-digit numbers to determine which is greater, lesser, or if they are equal. Key concepts include:
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Place Value: Each digit in a two-digit number has a specific value based on its position. The first digit (tens place) represents multiples of 10, while the second digit (ones place) represents values from 0 to 9.
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Tens Comparison: When comparing two numbers, first look at the tens digits. The number with the higher tens digit is greater. For example, in 34 and 58, 5 (from 58) is greater than 3 (from 34).
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Ones Comparison: If the tens digits are the same, then compare the ones digits. The number with the higher ones digit is greater. For instance, between 34 and 36, both have 3 in the tens place, but 6 (from 36) is greater than 4 (from 34).
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Equality: If both the tens and ones digits are the same, the two-digit numbers are equal. For example, 42 and 42 are equal.
Understanding these concepts helps determine the relationship between two-digit numbers quickly and accurately.
Part 1: Greater than and less than symbols
Here are the key points to learn when studying "greater than and less than symbols":
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Symbols:
- Greater than (>): Indicates that the number on the left is larger than the number on the right.
- Less than (<): Indicates that the number on the left is smaller than the number on the right.
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Direction:
- The point of the symbol always points to the smaller number.
- The open end of the symbol faces the larger number.
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Examples:
- 5 > 3 (5 is greater than 3)
- 2 < 7 (2 is less than 7)
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Equal to:
- The symbols can be combined:
- Greater than or equal to (≥)
- Less than or equal to (≤)
- The symbols can be combined:
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Number Line:
- Understanding positioning on a number line helps visualize greater than and less than relationships.
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Real-life applications:
- Used in various contexts such as comparing quantities, statistics, and inequalities.
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Practice:
- Solve problems involving inequalities to reinforce understanding.
By focusing on these key points, one can grasp the fundamental concepts surrounding greater than and less than symbols.