The place value system is all about understanding how the position of a digit affects its value in a number. Adjacent place values have a special relationship: each place value is ten times greater than the place value to its right and one-tenth of the value to its left. For example, in the number 345, the '4' in the tens place is ten times greater than the '5' in the ones place.
Understanding this relationship makes working with large numbers, decimals, and fractions much easier. Let's get some practice!
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Place Value | a. The value of a digit as determined by its position in a number. |
| 2. Digit | b. One of the symbols used to write numbers (0-9). |
| 3. Adjacent | c. Next to each other. |
| 4. Ten Times Greater | d. Multiplying a number by 10. |
| 5. One-Tenth | e. Dividing a number by 10. |
(Match: 1-a, 2-b, 3-c, 4-d, 5-e)
Complete the paragraph using the words: place value, digit, ten, one-tenth, adjacent.
In the number 789, the 8 is in the tens place. The 9 is in the ones _____. The _____ 8 is _____ times greater than the value of the 9. Conversely, the value of the 9 is _______ of the value of the 8 because they are _______ to each other.
(Answers: place value, digit, ten, one-tenth, adjacent)
Explain how understanding the relationship between adjacent place values can help you when multiplying or dividing by 10, 100, or 1000. Give an example.
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