In 5th Grade Decimals Worksheet contains various types of questions on operations on decimal numbers. The questions are based on formation of decimals, comparing decimals, Converting Fractions to Decimals, Addition of decimals, subtraction of decimals, multiplication of decimals, division of decimals, expanded form of decimal and multiple choice questions on decimal numbers.

**1.** Form the greatest number less than 1 using digits 5, 8
and 9 only once.

**2.** 0.723 × 1000 = ________

**3. Complete the given series.**

(i) 2.7, 3.2, 3.7, 4.2, ______, ______

(ii) 5.73, 6.74, 7.75, ______, ______

(iii) 89.051, 189.061, 289.071, ______, ______

**4.** Complete the given magic square. The sum of all rows and column is 9.0.

**5. Find the number:**

(i) 6 tenths more than 7.245

(ii) 6 thousandths added to 18.023

(iii) 8 tenths and 4 hundredth less than 7

(iv) 1 tenths and 5 thousandth more than 9

**6.** What is \(\frac{1}{5}\) in decimal notation?

**7. Choose the right answer and fill in the blank.**

**(i)** 478.65 ÷ ________ = 47.865

(a) 10

(b) 100

(c) 1000

(d) 1

**(ii)** 137.85 × 10 = ________

(a) 13785

(b) 13.785

(c) 1378.5

(d) 1.3785

**8. Write the decimal number for the expansion given below:**

(i) 10 + 8 + \(\frac{4}{10}\) + \(\frac{7}{1000}\)

(ii) 2000 + 200 + 0 + 2 + \(\frac{2}{10}\) + \(\frac{2}{100}\) + \(\frac{2}{1000}\)

(iii) 500 + 70 + 1 + \(\frac{3}{100}\) + \(\frac{9}{1000}\)

(iv) 80 + \(\frac{7}{10}\) + \(\frac{4}{1000}\)

**9. Write the given decimal numbers in expanded form by fractional expansion:**

(i) 239.4

(ii) 16.098

(iii) 702.65

(iv) 8.006

(v) 7000.848

**10. Compare and put the appropriate sign:**

(i) 13.6 ______ 1.36

(ii) 65.010 ______ 65.110

(iii) 209.008 ______ 210.007

(iv) 47.981 ______ 29.999

**11. Choose the right answer:**

**(i)** 27.8 ÷ 100

(a) 2.78

(b) 0.278

(c) 278.0

(d) 27.8

**(ii)** 500.669 × 100

(a) 5.00669

(b) 50.0669

(c) 5006.69

(d) 50066.9

**(iii)** 36.8 more than 145.67 is:

(a) 18.247

(b) 171.47

(c) 17.147

(d) 182.47

**12. Solve the given:**

(i) 308.44 × 1000

(ii) 83.47 ÷ 5

(iii) 167.84 × 1.5

**13. Evaluate the following and express your answer as a fractional number.**

(i) (0.23 × 2.7) + (6.54 ÷ 3)

(ii) 98.2 – 14.8 + 16.02 × 0.2

Answers on 5th Grade Decimals Worksheet are given below to check the exact answers of the questions.

**Answers:**

**1.** 0.985

**2.** 723

**3.** (i) 4.7, 5.2

(ii) 8.76, 9.77

(iii) 389.081, 489.091

**4.**

**5.** (i) 7.845

(ii) 18.029

(iii) 6.16

(iv) 9.105

**6.** 0.2

**7.** (i) (a) 10

(ii) (c) 1378.5

**8.** (i) 18.407

(ii) 2202.222

(iii) 571.039

(iv) 80.704

**9.** (i) 200 + 30 + 9 + \(\frac{4}{10}\)

(ii) 10 + 6 + \(\frac{0}{10}\) + \(\frac{9}{100}\) + \(\frac{8}{1000}\)

(iii) 700 + 0 + 2 + \(\frac{6}{10}\) + \(\frac{5}{100}\)

(iv) 8 + \(\frac{0}{10}\) + \(\frac{0}{100}\) + \(\frac{6}{1000}\)

(v) 7000 + 0 + 0 + 0 + \(\frac{8}{10}\) + \(\frac{4}{100}\) + \(\frac{8}{1000}\)

**10.** (i) >

(ii) <

(iii) <

(iv) >

**11.** (i) (b) 0.278

(ii) (d) 50066.9

(iii) (d) 182.47

**12.** (i) 308440

(ii) 16.694

(iii) 251.76

**13.** (i) 2.801

(ii) 86.604

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