Learn the 3-Step Method
1Line up the decimal points.
Write the numbers under each other with the points aligned.
0.65
2Pad with zeros.
Give both numbers the same number of decimal places: 0.7 → 0.70.
0.65
3Compare from the left.
Compare digit by digit: 7 tenths beats 6 tenths, so 0.70 > 0.65.
Worked Example
Compare 3.09 and 3.1.
3.1
3.10
Watch Out! Common Mistakes
Wrong! More digits doesn’t mean bigger. Pad zeros: 0.70 vs 0.65 → 0.7 wins.
Wrong! The digits after the point are not a whole number — compare place by place from the left.
Wrong! Compare the whole-number part first: 3 beats 2, so 3.1 > 2.9 no matter what follows.
⬇ Cheat Sheet
- Line up the decimal points.
- Pad with zeros so both have the same length.
- Compare digit by digit from the left.
- The first bigger digit decides.
📖 Continue Your Journey
Quick summary
- Line up the decimal points and pad with zeros so lengths match.
- Compare digit by digit from the left; the first difference decides.
- 0.7 = 0.70, so 0.7 beats 0.65.
- A longer decimal is not automatically a bigger one.
Frequently asked questions
How do you compare two decimals?
Line up the decimal points, pad the shorter number with zeros, then compare digit by digit from the left. The first place where the digits differ decides which is bigger.
Is 0.7 bigger than 0.65?
Yes. Write 0.7 as 0.70 — then it's clearly 70 hundredths against 65 hundredths, so 0.7 is bigger.
Why do children think 0.65 is bigger than 0.7?
They read the decimal part as a whole number (65 versus 7). Padding with zeros — 0.70 vs 0.65 — fixes the misconception instantly.
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