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Math · Grade 4 Math

Chapter 6: Decimals

Hundredths

Cut each tenth into ten again.

Lesson
2
Time
About 14 minutes
0 of 8 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Cut every tenth into 10 smaller pieces. That gives 100 pieces in the whole.

Two places after the point

35/100 is written 0.35. The first place is tenths, the second is hundredths.

Ten hundredths make a tenth

A whole column of the grid is 10 hundredths, which is 1 tenth.

A lonely hundredth

7/100 is written 0.07. There are no whole tenths, so a 0 holds that place.

Cut each tenth into ten

Split each tenth into ten smaller pieces and you have hundredths. Two decimal places means hundredths: 0.43 is 4 tenths and 3 hundredths, or 43 hundredths altogether. Both readings are correct and useful.

The hundred grid

A ten-by-ten grid is the standard picture. One column is a tenth; one small square is a hundredth. Shading 43 squares shows 0.43, and you can see the four full columns plus three extra squares. The picture makes both readings visible at once.

Naming the places

In 3.47 the 3 is ones, the 4 is tenths, the 7 is hundredths. There is no "oneths" place — the ones place already sits to the left of the point, and the pattern is symmetrical about the ones, not about the point.

You already use hundredths daily

A cent is a hundredth of a dollar, so $3.47 is three dollars and forty-seven hundredths. Money is the most familiar decimal system in the world, and it is worth leaning on that familiarity when the notation feels unfamiliar.

Step 2: Try It Yourself

Tap and try it out.

Each small square is one hundredth. A whole column is one tenth.

35/100 = 0.35

0.00.10.20.30.40.50.60.70.80.91.0

35 hundredths is 35/100, written 0.35.

Step 3: Watch an Example

One step at a time.

Watch Leo Write 7/100

Leo writes seven hundredths as a decimal.

  1. Step 1

    He shades 7 small squares, less than one full column.

Step 4: Your Turn

Practice makes it stick.

The Coins

Problem 1 of 2

How many hundredths are in 0.42?

hundredths

The Grid

Problem 2 of 2

How many hundredths make 3 tenths?

hundredths

Count the Small Squares

1 of 4

How many hundredths are in 0.56?

2 of 4

How many hundredths make one whole?

3 of 4

How many hundredths are in 0.08?

4 of 4

How many hundredths make 6 tenths?

Step 5: Quick Check

Show what you know.

Question 1 of 2

How many hundredths are in 0.09?

Question 2 of 2

How many hundredths make one tenth?

What You Learned

  • A whole cut into 100 pieces gives hundredths.
  • The second place after the point is hundredths.
  • Ten hundredths make one tenth.