Math Problem Statement
How do you calculate the place value of 6 as a digit in a decimal number, such as 0.326?
Solution
To calculate the place value of the digit in the decimal number :
Steps:
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Identify the position of the digit :
- In the number , the is in the thousandths place because it is the third digit after the decimal point.
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Determine the place value:
- Each digit after the decimal point represents a fraction with a denominator that is a power of :
- The first digit after the decimal point is the tenths place ().
- The second digit after the decimal point is the hundredths place ().
- The third digit after the decimal point is the thousandths place ().
- Each digit after the decimal point represents a fraction with a denominator that is a power of :
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Multiply the digit by its place value:
- The digit is in the thousandths place, so its value is:
Final Answer:
The place value of in is .
Related Questions:
- What is the place value of in the number ?
- How do you determine the value of a digit in a whole number versus a decimal?
- If the number was , what would the place value of be?
- Can a digit's place value be negative in decimal representations?
- How is place value used in rounding decimal numbers?
Tip:
When dealing with decimals, remember that the farther to the right a digit is, the smaller its place value becomes, decreasing by a factor of 10 for each position.
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Math Problem Analysis
Mathematical Concepts
Place Value
Decimal Numbers
Powers of 10
Formulas
Place value = digit × (1 / 10^n), where n is the position after the decimal point
Theorems
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Suitable Grade Level
Grades 4-6