1. What is Decimal Place Value?

Decimal place value refers to the value of a digit based on its position after the decimal point in a number. Each position represents a power of 10, with the first digit after the decimal representing tenths (10^-1), the second representing hundredths (10^-2), and so on.

2. How Does the Calculator Work?

The calculator uses the decimal place value formula:

Where:

• \( \text{Digit} \) — A single digit from 0 to 9
• \( \text{Position} \) — The position after the decimal point (1 for tenths, 2 for hundredths, etc.)

Explanation: The value of a digit in a decimal number decreases by a factor of 10 for each place you move to the right of the decimal point.

3. Importance of Decimal Place Value

Details: Understanding decimal place value is fundamental for working with money, measurements, scientific calculations, and any situation requiring precision. It forms the basis for rounding numbers and understanding significant figures.

4. Using the Calculator

Tips: Enter a single digit (0-9) and its position after the decimal point. The calculator will show the value that digit represents in that position.

5. Frequently Asked Questions (FAQ)

Q1: What's the value of 7 in 0.007?
A: The 7 is in the thousandths place (position 3), so its value is 7 × 10^-3 = 0.007.

Q2: How does place value work after the decimal?
A: Each position after the decimal represents negative powers of 10: tenths (10^-1), hundredths (10^-2), thousandths (10^-3), etc.

Q3: What's the difference between place and value?
A: Place is the position (like "hundredths"), while value is what that position is worth numerically (like 0.01).

Q4: Why is understanding decimal place value important?
A: It's essential for accurate calculations, especially in science, engineering, finance, and any field requiring precise measurements.

Q5: How do you read decimal numbers?
A: Read the whole number part, say "and" for the decimal, then read the decimal part followed by the place value of the last digit.