Place Values Relationship
A place value is described as a value characterized by a digit in a number depending on its position within the number.
A place-value chart:
| Hundred-Thousands | Ten-Thousands | Thousands | Hundreds | Tens | Ones |
| 100,000 | 10,000 | 1000 | 100 | 10 | 1 |
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A step-by-step guide to finding place value relationships
Here is a step-by-step guide to finding place value relationships:
- Identify the digits in the number: To find the place value relationships in a number, you must first identify each digit in the number.
- Write down the value of each digit: Write down the value of each digit in the number based on its position. For example, in the number 135, the digit 5 has a value of 5 ones, the digit 3 has a value of 3 tens or thirty, and the digit 1 has a value of 1 hundred.
- Determine the place value of each digit: Determine the place value of each digit by looking at its position in the number. For example, in the number 135, the digit 5 is in the ones place, the digit 3 is in the tens place, and the digit 1 is in the hundreds place.
- Understand the relationship between adjacent place values: To find the relationship between adjacent place values, you can divide the value of the digit in the larger place by the value of the digit in the smaller place. For example, to find the relationship between the tens and ones place values in the number 135, you would divide the value of the digit in the tens place (3 tens) by the value of the digit in the ones place (5 ones). This gives you a result of 6, which means that the number 30 is 6 times of number 5.
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By understanding the relationships between adjacent place values, you can better comprehend the structure of the number and perform arithmetic operations more efficiently. This can be helpful in a variety of contexts, such as in math class or in everyday life.
Example 1:
What digit is in the hundredth place in number 1528?
| Thousands | Hundreds | Tens | Ones |
| 1 | 5 | 2 | 8 |
Solution: Use a place-value chart to find out its place value.
Therefore, digit 5 is in the hundredth place.
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