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Decimal Fractions and Decimals: math practice, Grade 4 – download the PDF

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Math practice Grade 4 : Decimal Fractions and Decimals — Zyro the alien explorer of Planète Maths

22 problems graded by difficulty (★ easy, ★★ medium, ★★★ hard). Try first, without looking at the solutions!

2 Fractions to decimals ★★★

Write each fraction as a decimal.

  1. \(\dfrac{7}{10}\)
  2. \(\dfrac{9}{100}\)
  3. \(\dfrac{53}{100}\)
  4. \(\dfrac{4}{10}\)

3 Decimals to fractions ★★★

Write each decimal as a fraction with denominator 10 or 100.

  1. 0.8
  2. 0.05
  3. 0.62
  4. 0.3

4 Words to numbers ★★★

Write each number with digits.

  1. seven tenths
  2. twenty-nine hundredths
  3. four and six tenths
  4. three and eight hundredths

5 Value of each digit ★★★

In the number 5.37, give the value of each digit.

6 Reading a number line ★★★

The number line is cut into 10 equal steps from 0 to 1.

01AB

Write the decimal for point A and for point B.

7 Coins ★★★

Maya has 3 dimes and 5 pennies. How much money does she have, written as a decimal amount in dollars?

8 Tenths to hundredths ★★★

Fill in each blank.

  1. \(\dfrac{3}{10}=\dfrac{?}{100}\)
  2. \(\dfrac{9}{10}=\dfrac{?}{100}\)
  3. \(\dfrac{4}{10}=\dfrac{?}{100}\)
  4. \(\dfrac{60}{100}=\dfrac{?}{10}\)

9 Adding with unlike denominators ★★★

Add. Give each answer as a fraction with denominator 100 and as a decimal.

  1. \(\dfrac{3}{10}+\dfrac{4}{100}\)
  2. \(\dfrac{5}{10}+\dfrac{27}{100}\)

10 Which is greater? ★★★

Compare each pair with <, > or =.

  1. 0.4 and 0.38
  2. 0.07 and 0.7
  3. 1.25 and 1.3
  4. 0.50 and 0.5

11 True or false? ★★★

Say whether each statement is true or false. Explain.

  1. 0.5 = 0.50
  2. 0.3 is greater than 0.25
  3. 0.09 is greater than 0.1
  4. \(\dfrac{6}{10}=0.06\)

12 Putting in order ★★★

Write these numbers from least to greatest: 0.6, 0.06, 0.66, 0.16, 1.06.

13 Saving for a book ★★★

Sam has 2 dollars, 3 dimes and 4 pennies. A paperback costs $2.43. Does Sam have enough money? If not, how much is missing?

14 Reading hundredths ★★★

The number line goes from 0.3 to 0.4 in ten steps.

0.300.350.40PQ

  1. Write the decimal for P and for Q.
  2. Which point is closer to 0.4?

15 Ribbon ★★★

Lena cuts two pieces of ribbon. One is \(\dfrac{3}{10}\) meter long and the other is \(\dfrac{25}{100}\) meter long. How long are they together? Give the answer as a fraction and as a decimal.

16 Expanded form ★★★

a. Write \(4\dfrac{7}{100}\) as a decimal.

b. Write \(12+\dfrac{3}{10}+\dfrac{8}{100}\) as a decimal.

c. Write 6.52 as a whole number plus a tenths fraction plus a hundredths fraction.

17 Mystery number ★★★

I am a number between 0.4 and 0.5. My hundredths digit is 3 more than my tenths digit. What number am I?

18 Find the mistake ★★★

Jaden says, “0.35 is greater than 0.4 because 35 is greater than 4.” Is he right? Explain what went wrong.

19 Swim meet ★★★

Four swimmers finish a race in these times, in seconds: Ava 12.45, Ben 12.5, Cora 12.05 and Dev 12.54. List the swimmers from fastest (least time) to slowest. Who wins?

20 At the store ★★★

Omar buys a pencil case for $1.75 and a ruler for $0.60. He pays with a $5 bill. How much is the total, and how much change does he get?

21 Three pieces of wire ★★★

A craft kit has three pieces of wire that are \(\dfrac{4}{10}\) meter, \(\dfrac{15}{100}\) meter and \(\dfrac{6}{10}\) meter long. Is the total length more than 1 meter?

22 Closest to one half ★★★

Which number is closer to 0.5: 0.47 or 0.55? Use a number line from 0.4 to 0.6 in steps of 0.01 if it helps.

See the practice solutions : Decimal Fractions and Decimals: math practice, Grade 4 – Planète MathsReview the lesson : Decimal Fractions and Decimals: math practice, Grade 4 – Planète Maths

Test yourself: quick challenge for Grade 4

Speed drill for Grade 4: how many in 60 seconds?

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