Place Value, Decimals & Scientific Notation Lab
See every digit's role with a color-coded place value chart. Convert freely between decimals, fractions, and percentages. Express numbers in scientific notation and discover which fractions produce repeating decimals.
Guided ExperimentPowers of 10
What happens to each digit's place value when you multiply or divide a number by 10? How does the decimal point appear to move?
Write your hypothesis in the Lab Report panel, then click Next.
Place Value Chart
Controls
Place Value Analysis
Data Table
(0 rows)| # | Number | Expanded Form | Scientific Notation | Fraction | Percent |
|---|
Reference Guide
Place Value System
Each digit's value depends on its position. Moving left multiplies by 10. Moving right divides by 10.
The expanded form shows the contribution of each digit to the total value.
Decimal, Fraction & Percent
Every number can be written as a decimal, fraction, or percent. They are three forms of the same value.
To convert a decimal to a percent, multiply by 100. To convert a fraction, divide numerator by denominator.
Scientific Notation
Scientific notation expresses numbers as a coefficient (between 1 and 10) multiplied by a power of 10.
Large numbers get positive exponents. Small numbers (like 0.000001) get negative exponents.
Repeating vs Terminating Decimals
A fraction terminates as a decimal if and only if its denominator (in lowest terms) has only factors of 2 and 5.
Denominators like 3, 6, 7, 9, 11 produce repeating decimals because they have prime factors other than 2 and 5.
