Kid Einsteins · Class 13 · Grades 3–4
Decimals to the Tenths and Hundredths
Tenths are parts of a whole split into 10 equal pieces. Hundredths are parts of a whole split into 100 equal pieces. Learn to read, write, match, and compare these decimals one small step at a time.
Follow the six images in order, with five original practice questions after each image. Then complete six homework review questions and fourteen homework word problems: 20 homework questions and 50 questions altogether. Try each question before selecting its blue Answer button.
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Take your time with the models. Count the equal parts, say the place-value name, and then write the decimal. These questions use different examples from the images. No decimal multiplication, division, or multi-step money calculations are needed.
Download the student workbook (PDF)18 pages · Cover, six images with five practice questions each, six homework review questions, and fourteen homework word problems.Blank answer space throughout. Exercise answers are not included.
Understanding tenths
A tenth is one of 10 equal parts of a whole. To write a fraction with 10 on the bottom as a decimal, put the number of parts in the first place after the point. For example, 4/10 = 0.4. Say 'four tenths.'
Try it yourself: five questions
Q1 Practice 1 of 5
Write 2/10 as a decimal.
Answer
0.2.
The bottom number is 10, so put 2 in the tenths place.
Q2 Practice 2 of 5
Write 6/10 as a decimal.
Answer
0.6.
Six out of ten equal parts is six tenths.
Q3 Practice 3 of 5
Write 0.9 as a fraction with 10 on the bottom.
Answer
9/10.
The 9 is in the tenths place. It means nine of ten equal parts.
Q4 Practice 4 of 5
A strip has 10 equal parts. Seven are colored. What decimal of the strip is colored?
Answer
0.7.
Seven colored parts out of ten is 7/10, written 0.7.
Q5 Practice 5 of 5
A strip has 10 equal parts. Two are colored. How many more parts should you color to show 0.4?
Answer
2 more parts.
The decimal 0.4 means four colored parts. Two are already colored, so color two more.
Understanding hundredths
A hundredth is one of 100 equal parts of a whole. Hundredths use two places after the decimal point. For example, 34/100 = 0.34. For a small number such as 6/100, use a zero to hold the tenths place: 0.06.
Try it yourself: five questions
Q6 Practice 1 of 5
Write 12/100 as a decimal.
Answer
0.12.
Twelve hundredths is written with two digits after the decimal point.
Q7 Practice 2 of 5
Write 0.41 as a fraction with 100 on the bottom.
Answer
41/100.
Two decimal places tell us to count hundredths.
Q8 Practice 3 of 5
A grid has 100 equal squares. Eighteen are colored. What decimal of the grid is colored?
Answer
0.18.
Eighteen out of one hundred is 18/100, or 0.18.
Q9 Practice 4 of 5
Write 4/100 as a decimal.
Answer
0.04.
Use zero tenths and four hundredths. The 4 must be in the second place after the point.
Q10 Practice 5 of 5
A grid has 100 equal squares. Color 2 full rows of 10 and 3 extra squares. What decimal of the grid is colored?
Answer
0.23.
Two rows give 20 squares. Three more makes 23 squares out of 100, or 0.23.
Reading and writing decimals
Read the whole number first. Then say 'and' and name the decimal part. One digit after the point names tenths; two digits name hundredths. For example, 1.36 is 'one and thirty-six hundredths.' In 1.06, the zero keeps the 6 in the hundredths place.
Try it yourself: five questions
Q11 Practice 1 of 5
Write 0.2 in words.
Answer
Two tenths.
There is one digit after the decimal point, so its place is tenths.
Q12 Practice 2 of 5
Write 0.43 in words.
Answer
Forty-three hundredths.
Read 43 together, then name the last place: hundredths.
Q13 Practice 3 of 5
Write 'one and six tenths' as a decimal.
Answer
1.6.
Write 1 before the decimal point and 6 in the tenths place.
Q14 Practice 4 of 5
Write 'three and eight hundredths' as a decimal.
Answer
3.08.
Write 3 wholes, zero tenths, and 8 hundredths.
Q15 Practice 5 of 5
In 4.26, what is the value of the 2? What is the value of the 6?
Answer
2 tenths = 0.2; 6 hundredths = 0.06.
The first place after the point is tenths. The second is hundredths.
Equivalent decimals
Equivalent decimals look different but name the same amount. A zero added at the end of the decimal part does not change the value: 0.4 = 0.40. Four tenths and forty hundredths cover the same amount of a whole. Do not move the zero in front of the 4: 0.04 is only four hundredths.
Try it yourself: five questions
Q16 Practice 1 of 5
Complete the matching decimal: 0.2 = 0.__.
Answer
0.20.
Two tenths equals twenty hundredths. Fill the two blanks with 20.
Q17 Practice 2 of 5
Write 0.60 using just one digit after the decimal point.
Answer
0.6.
Removing the final zero leaves the value unchanged.
Q18 Practice 3 of 5
Choose the decimal equal to 0.9: 0.09 or 0.90.
Answer
0.90.
Nine tenths equals ninety hundredths, not nine hundredths.
Q19 Practice 4 of 5
Write 1.4 with two digits after the decimal point.
Answer
1.40.
Add a zero after the 4. One whole and four tenths is still the same amount.
Q20 Practice 5 of 5
Are 0.7 and 0.07 equal? Explain using tenths and hundredths.
Answer
No. 0.7 is seven tenths; 0.07 is seven hundredths.
Write 0.7 as 0.70. Seventy hundredths is not the same as seven hundredths.
Comparing decimals
Compare whole numbers first, then tenths, then hundredths. Use < for less than, > for greater than, and = for equal to. You may add a zero at the end to help: 0.6 = 0.60. To compare 0.6 and 0.48, compare 60 hundredths and 48 hundredths. The greater amount is 0.6.
Try it yourself: five questions
Q21 Practice 1 of 5
Which is greater: 0.2 or 0.6?
Answer
0.6.
Six tenths is greater than two tenths.
Q22 Practice 2 of 5
Fill the blank with <, >, or =: 0.31 __ 0.38.
Answer
0.31 < 0.38.
Both have three tenths. One hundredth is less than eight hundredths.
Q23 Practice 3 of 5
Fill the blank with <, >, or =: 0.4 __ 0.40.
Answer
0.4 = 0.40.
Four tenths equals forty hundredths.
Q24 Practice 4 of 5
Which is greater: 0.7 or 0.58?
Answer
0.7.
Write 0.7 as 0.70. Seventy hundredths is greater than fifty-eight hundredths.
Q25 Practice 5 of 5
Put these decimals in order from least to greatest: 0.9, 0.24, 0.6.
Answer
0.24, 0.6, 0.9.
Use hundredths: 24, 60, 90. The smallest is 24 and the largest is 90.
Decimals in everyday life
Decimals help us describe money and measurements. One dollar is 100 cents, so 32 cents is $0.32. One meter is 100 centimeters, so 46 centimeters is 0.46 meter. When a bottle label says 0.8 liter, read 'eight tenths of a liter.' Keep the unit with your answer. You do not need to convert milliliters in this practice.
Try it yourself: five questions
Q26 Practice 1 of 5
A sticker costs 24 cents. Write its price in dollars.
Answer
$0.24.
Each cent is one hundredth of a dollar. Twenty-four cents is twenty-four hundredths of a dollar.
Q27 Practice 2 of 5
A pencil costs $0.63. How many cents is that?
Answer
63 cents.
The two digits after the decimal point show cents.
Q28 Practice 3 of 5
A ribbon is 42 centimeters long. Use 100 centimeters = 1 meter to write its length in meters.
Answer
0.42 meter.
Forty-two centimeters is 42/100 of a meter.
Q29 Practice 4 of 5
A bottle is labeled 0.6 liter. Read the amount in words.
Answer
Six tenths of a liter.
The 6 is in the tenths place. Keep the unit, liter.
Q30 Practice 5 of 5
One eraser costs $0.4 and another costs $0.40. Do they cost the same amount?
Answer
Yes. Both cost 40 cents.
Four tenths of a dollar equals forty hundredths of a dollar.
Homework review
Review the six ideas from this class: tenths, hundredths, reading decimals, equivalent decimals, comparing decimals, and everyday uses. Answer one question for each image, in the same order.
R1 Review image 1 of 6
A strip has 10 equal parts and 4 are shaded. Write the shaded part as a decimal.
Answer
0.4.
Four out of ten is 4/10, or four tenths.
R2 Review image 2 of 6
A grid has 100 equal squares and 16 are shaded. Write the shaded part as a decimal.
Answer
0.16.
Sixteen out of one hundred is sixteen hundredths.
R3 Review image 3 of 6
Write 'two and thirty-one hundredths' as a decimal.
Answer
2.31.
Write 2 whole units before the point and 31 hundredths after it.
R4 Review image 4 of 6
Write a decimal equal to 0.6 with two digits after the point.
Answer
0.60.
Six tenths equals sixty hundredths.
R5 Review image 5 of 6
Which is greater: 0.8 or 0.73?
Answer
0.8.
Write 0.8 as 0.80. Eighty hundredths is greater than seventy-three hundredths.
R6 Review image 6 of 6
A bookmark costs 58 cents. Write the price in dollars.
Answer
$0.58.
Fifty-eight cents is fifty-eight hundredths of a dollar.
Homework word problems
Use decimals in short stories about pictures, money, ribbons, and bottles. These fourteen questions build gently from writing one decimal to comparing a few amounts. Together with the review, they make 20 homework questions.
W1 Homework word problem 1 of 14
Lia colors 2 of the 10 equal parts of a flag. What decimal of the flag is colored?
Answer
0.2 of the flag.
Two out of ten is two tenths, written 0.2.
W2 Homework word problem 2 of 14
A class fills 9 of the 10 equal sections of a display. What decimal of the display is filled?
Answer
0.9 of the display.
Nine tenths is written 0.9.
W3 Homework word problem 3 of 14
A mosaic has 100 equal tiles. Thirty-two are yellow. What decimal of the mosaic is yellow?
Answer
0.32 of the mosaic.
Thirty-two tiles out of one hundred is thirty-two hundredths.
W4 Homework word problem 4 of 14
A design has 100 equal squares. Six are blue. What decimal of the design is blue?
Answer
0.06 of the design.
Keep zero tenths so the 6 is in the hundredths place.
W5 Homework word problem 5 of 14
Nora finds a price tag that says 47 cents. How should she write that price in dollars?
Answer
$0.47.
A cent is one hundredth of a dollar, so 47 cents is 0.47 dollar.
W6 Homework word problem 6 of 14
A toy car travels 1.23 meters. How would you read its distance in words?
Answer
One and twenty-three hundredths meters.
Read the whole number 1, say 'and,' then read 23 hundredths.
W7 Homework word problem 7 of 14
A jug label says 'two and four tenths liters.' What decimal belongs on the label?
Answer
2.4 liters.
The jug amount has 2 wholes and 4 tenths.
W8 Homework word problem 8 of 14
A ribbon is 68 centimeters long. If 100 centimeters make a meter, what is its length in meters?
Answer
0.68 meter.
Sixty-eight out of one hundred centimeters is sixty-eight hundredths of a meter.
W9 Homework word problem 9 of 14
One bottle holds 0.2 liter. Another holds 0.20 liter. Do they hold the same amount?
Answer
Yes, the amounts are equal.
Two tenths and twenty hundredths name the same amount.
W10 Homework word problem 10 of 14
A green ribbon is 0.46 meter long. A blue ribbon is 0.49 meter long. Which ribbon is longer?
Answer
The blue ribbon.
Both have four tenths. Nine hundredths is greater than six hundredths.
W11 Homework word problem 11 of 14
One bookmark costs $0.6. Another costs $0.54. Which bookmark costs less?
Answer
The $0.54 bookmark.
Write $0.6 as $0.60. Fifty-four cents is less than sixty cents.
W12 Homework word problem 12 of 14
A red string is 0.7 meter, a yellow string is 0.32 meter, and a white string is 0.5 meter. Put them in order from shortest to longest.
Answer
Yellow (0.32 m), white (0.5 m), red (0.7 m).
Write the lengths as 0.32, 0.50, and 0.70 meter, then compare.
W13 Homework word problem 13 of 14
Jules writes $0.08 for a sticker that costs 80 cents. Is the label correct? Write the correct price.
Answer
No. The correct price is $0.80.
The label $0.08 means 8 cents. Eighty cents is eighty hundredths of a dollar.
W14 Homework word problem 14 of 14
Three bottles hold 0.4 liter, 0.40 liter, and 0.36 liter. Which two hold the same amount, and which holds the least?
Answer
The 0.4-liter and 0.40-liter bottles are equal. The 0.36-liter bottle holds the least.
Four tenths equals forty hundredths. Thirty-six hundredths is less than forty hundredths.
Quick questions and answers
What are tenths and hundredths?
A tenth is one of ten equal parts of a whole. A hundredth is one of one hundred equal parts. The first place after a decimal point is tenths; the second is hundredths.
How do I write four hundredths?
Write 0.04. The zero holds the tenths place, so the 4 stays in the hundredths place. The number 0.4 would mean four tenths instead.
Why are 0.6 and 0.60 equal?
Six tenths and sixty hundredths name the same amount. Adding a zero at the end of the decimal part does not change that amount.
How can I compare decimals?
Compare the whole-number parts, then tenths, then hundredths. Add an ending zero when helpful: 0.7 = 0.70, so 0.7 is greater than 0.58.
What is the homework for this class?
Complete six review questions, one per image, and fourteen word problems. That makes twenty homework questions. The problems focus on reading, matching, and comparing decimals rather than multi-step calculations.
What is in the student workbook?
The 18-page workbook keeps the existing cover. Each of the six images has its own page followed by five practice questions on the next page. Homework review is grouped five then one; homework word problems are grouped five, five, then four. There are no exercise answers or writing lines, and there is generous blank answer space.