01
Longer is larger
0.35 > 0.4 because 35 > 4.
Topic hub
Decimals
Decimals are place value continued — tenths, hundredths — not a dot that means ‘and then some extra digits’. Children struggle when they compare 0.35 and 0.4 by whole-number rules, or multiply 0.2 × 0.3 and lose the place.
Why this concept matters
Every later percentage, money, and measurement question is a decimal in costume.
Misconceptions, in the order we see them
02
The decimal is a separator, not a place
Tenths and hundredths are not columns they can point to.
03
Add a zero when multiplying by 10
The rule that worked for wholes destroys 0.45 × 10.
04
Decimals and fractions are different chapters
0.5 and 1/2 never meet, so conversion is guesswork.
Which classes cover this
Related: Fractions · Percentages · Ratio and proportion · Integers · Algebra basics
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