Math Problem Statement
Place value
Solution
Place value refers to the value of a digit depending on its position in a number. In our base-10 number system, each place represents a power of 10, with the value increasing as we move from right to left.
For example, consider the number 4,836:
- The digit 6 is in the ones place, so its value is 6 × 1 = 6.
- The digit 3 is in the tens place, so its value is 3 × 10 = 30.
- The digit 8 is in the hundreds place, so its value is 8 × 100 = 800.
- The digit 4 is in the thousands place, so its value is 4 × 1,000 = 4,000.
Thus, the value of each digit is determined by its position.
Would you like more details or have any specific questions?
Here are 5 questions related to place value:
- What is the place value of the digit 5 in the number 52,436?
- How does the place value system change in a base other than 10 (e.g., base 2)?
- What is the total value of the number 7,843 based on place value?
- How do you determine place value for decimals, such as in the number 23.456?
- What is the place value of each digit in the number 506,079?
Tip: Place value is crucial when rounding numbers, as it helps determine which digits to adjust.
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Math Problem Analysis
Mathematical Concepts
Place Value
Base-10 Number System
Powers of 10
Formulas
Place value formula: digit × 10^position
Theorems
Place value theorem in base-10
Suitable Grade Level
Grades 3-5