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MathGrade 4ages 9–10

0️⃣ Reading decimals

A child who reads 0.3 as "three" is applying the whole-number rule that's worked their entire life — every digit they've ever read counted as itself — and nothing has yet taught them that a point changes what a digit means.

Updated · Maya Tutor

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What your child learns

The mistake most kids make here

Reading 0.3 as if it were 3 wholes.

Try one question

The number 0.3. What does it say?

0.3

Answer

3 tenths — Yes. Three parts out of ten.

How Maya teaches it

Your child tells Maya what they did in class. She teaches this topic at her desk, asks questions with tappable answers, and when the answer is wrong she explains why that answer was tempting instead of saying “try again”. She remembers what did not land and comes back to it.

Your child has it when they can: What is 0.3, and what is 0.5?

How to help at home

Before decimals, every number a child reads is a whole number, so it's a completely reasonable habit to read any digit as its full value. Decimals need their own separate lesson, not just an extension of what they already know.

Cut a piece of paper, a chocolate bar, or a pita into ten equal strips. Ask your child how many strips make up the whole one (ten), then hand them three strips and ask what fraction of the whole they're holding. "Three tenths" should follow naturally from counting the strips against the whole set of ten.

When 0.3 gets read as "three," ask: "three of what — three whole pitas, or three pieces out of the ten we cut?" Pointing back at the ten strips usually resolves it faster than explaining the decimal point itself.

A sign they've got it: shown 0.7, they can say "seven tenths" right away, and can also say that 0.5 fills up exactly half of a whole, without needing to recount strips each time.

Questions parents ask

Why does my child read 0.3 as three instead of three tenths?
Every number a child has read before decimals was a whole number, where each digit counts as itself. A decimal point changes that rule, and this usually needs its own explicit lesson rather than being picked up automatically.
What does the decimal point actually do?
It marks the boundary between whole numbers and the equal parts of a whole. Digits after the point count tenths, hundredths, and so on — they don't glue onto the whole number or stand alone as their own whole number.
How can I show what 0.5 means using real objects?
Cut something into ten equal pieces and hand your child five of them. They'll see and feel that five pieces out of ten is exactly half — which is what 0.5 represents.
How does Maya teach reading decimals?
Maya asks how many equal parts a whole splits into before naming the decimal, so a child reaches "three tenths" themselves by counting parts, rather than being told the rule and asked to memorize it.
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More Math lessons

Sources: Common Core State Standards for Mathematics