ACT Math

Decimals and place value on ACT Math

October 4, 2026 · 5 min read

Each step left of the decimal is tens, hundreds, and so on. Each step right is tenths, hundredths, and thousandths. ACT Math uses that to hide a simple comparison inside a long decimal. Fractions of the same values are in fractions and ratios.

Line up the decimal

0.5 is five tenths, which is 1/2. 0.05 is five hundredths, which is 1/20. They are not close. When you add or subtract, line up the decimal points, not the rightmost digit. 1.2 + 0.35 is 1.55, not 1.37 and not 4.7.

Multiplying by 10 moves the decimal one place right. Dividing by 10 moves it one place left. Scientific notation is that shift written with a power of 10, in scientific notation.

Percent is a decimal move

8% is 0.08, not 0.8. The percent questions that use that conversion are in percent problems. Place-value traps inside a larger word problem are in setting up word problems.

The bottom line

Name the place before you compare. A zero between the decimal and the digit makes the number smaller, not decorative.

Start practicing

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