Read and Write Hundredths in Decimal Notation

Students translate between fractions with denominator 100 and decimal notation. They learn that the second decimal place represents hundredths and practice reading and writing decimals such as 0.47 = 47/100, including those with zero in the tenths place.

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Grade 4 · Decimal Notation for Fractions · question 1 of 3

0 of 20

20 rungs. A star at the top.

Hiro puts his bag on a scale on the train. The scale reads 0 ones and 16 hundredths of a kilogram. What decimal should the scale display?

How it is taught

0:00 of 3:53

The second place after the point is hundredths.

A number like 0.8 is eight tenths.

Read it: Count the steps past the whole

An arrow sits between 3 and 4 on a line cut into 10 equal steps. Where is it? Count the steps from 3: the arrow is 2 steps past 3, so it is 3.2.

Find the whole number the arrow is just past: 3.
Count the steps after 3, not the tick at 3: 2 steps.
Write the whole, a point, then the steps: 3.2, which is 3 2/10.

The gap from 3 to 4 is 1 whole cut into 10 equal steps, so each step is 1 tenth.

The tick at 3 is where the counting starts, not a step; counting it as a step gives 3.3, a step too far.

Cut the gap from 3.2 to 3.3 into 10 again and each step is 1 hundredth; then the last digit counts the steps.

The digits after the point count steps: tenths past the whole, then hundredths past the tenth.

Counting the tick at 3 as the first step, and calling the arrow 3.3.

Start at 3 and count the jumps, not the ticks: 1, 2. The arrow is at 3.2.

A number line runs from 2.8 to 2.9 in 10 equal steps, each one a hundredth. Which decimal stands 3 steps past 2.8? — 2.83. 3 steps past 2.8 is 2.83 — the steps are counted from 2.8, which is not itself a step.

47/100 = 0.47

Imagine a big square split into one hundred tiny equal parts. We shaded forty-seven of them.

As a fraction, that's forty-seven out of one hundred — forty-seven hundredths.

To write hundredths as a decimal, we need two places after the point: tenths and hundredths.

Forty-seven hundredths is four tenths and seven hundredths. Write a four in the tenths place.

Then write a seven in the hundredths place.

Grade 4 · Hundredths as fractions and decimals

We read this as zero point four seven, or forty-seven hundredths.

What if we only shaded three tiny parts — three hundredths?

There are zero tenths, so we put a zero in the tenths place, then a three in the hundredths place.

Hundredths live in the second decimal place. Forty-seven hundredths is zero point four seven!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics

Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal: 1 star — one skill mastered, every rung of its ladder climbed
Climbing now: Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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