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Unit 3 Basic Worksheet

Decimal Fundamentals

Practice decimal place value, comparing decimals, and decimal addition and subtraction operations.

Question 1: Write as a decimal: 5/10

Answer: 0.5

Steps:

  1. 5/10 means 5 tenths
  2. Tenths go in first place after decimal
  3. Answer: 0.5

Question 2: Write as a decimal: 23/100

Answer: 0.23

Steps:

  1. 23/100 means 23 hundredths
  2. Write 2 in tenths, 3 in hundredths
  3. Answer: 0.23

Question 3: What is the place value of 7 in 0.47?

Answer: Hundredths

Steps:

  1. 0.47 has 4 tenths and 7 hundredths
  2. 7 is in the second place after decimal
  3. Answer: Hundredths place

Question 4: Write 0.6 as a fraction.

Answer: 6/10 or 3/5

Steps:

  1. 0.6 = 6 tenths
  2. 6 tenths = 6/10
  3. Simplifies to 3/5

Question 5: Write in words: 0.35

Answer: Thirty-five hundredths

Steps:

  1. Last digit (5) is in hundredths place
  2. Read the whole number: thirty-five
  3. Answer: Thirty-five hundredths

Question 6: Write as a decimal: 2 and 4 tenths

Answer: 2.4

Steps:

  1. Whole number: 2
  2. Tenths: 4
  3. Answer: 2.4

Question 7: Compare using >, <, or =: 0.7 ___ 0.4

Answer: >

Steps:

  1. Both are tenths
  2. 7 tenths > 4 tenths
  3. Answer: >

Question 8: Which is larger: 0.5 or 0.05?

Answer: 0.5

Steps:

  1. 0.5 = 5 tenths = 50 hundredths
  2. 0.05 = 5 hundredths
  3. 50 > 5, so 0.5 is larger

Question 9: Compare: 1.2 ___ 1.20

Answer: =

Steps:

  1. 1.2 = 1 and 2 tenths
  2. 1.20 = 1 and 20 hundredths = 1 and 2 tenths
  3. They are equal

Question 10: Order from least to greatest: 0.8, 0.08, 0.80

Answer: 0.08, 0.8, 0.80 (or 0.08, tie)

Steps:

  1. 0.08 = 8 hundredths (smallest)
  2. 0.8 = 0.80 = 80 hundredths
  3. Order: 0.08, 0.8, 0.80

Question 11: Which is smallest: 2.5, 2.49, or 2.51?

Answer: 2.49

Steps:

  1. Compare: 2.50, 2.49, 2.51
  2. 49 < 50 < 51 hundredths
  3. 2.49 is smallest

Question 12: Compare: 3.6 ___ 3.59

Answer: >

Steps:

  1. 3.6 = 3.60
  2. Compare: 60 vs 59 hundredths
  3. 60 > 59, so 3.6 > 3.59

Question 13: 0.4 + 0.3 = ?

Answer: 0.7

Steps:

  1. Add tenths: 4 + 3 = 7
  2. Keep decimal aligned
  3. Answer: 0.7

Question 14: 0.6 + 0.5 = ?

Answer: 1.1

Steps:

  1. Add: 6 + 5 = 11 tenths
  2. 11 tenths = 1 whole and 1 tenth
  3. Answer: 1.1

Question 15: 0.25 + 0.32 = ?

Answer: 0.57

Steps:

  1. Add hundredths: 25 + 32 = 57
  2. Keep decimal aligned
  3. Answer: 0.57

Question 16: 1.5 + 2.3 = ?

Answer: 3.8

Steps:

  1. Ones: 1 + 2 = 3
  2. Tenths: 5 + 3 = 8
  3. Answer: 3.8

Question 17: 0.7 + 0.9 = ?

Answer: 1.6

Steps:

  1. Add: 7 + 9 = 16 tenths
  2. 16 tenths = 1.6
  3. Answer: 1.6

Question 18: 3.45 + 1.23 = ?

Answer: 4.68

Steps:

  1. Hundredths: 5 + 3 = 8
  2. Tenths: 4 + 2 = 6
  3. Ones: 3 + 1 = 4
  4. Answer: 4.68

Question 19: 0.8 + 0.15 = ?

Answer: 0.95

Steps:

  1. Think: 0.80 + 0.15
  2. 80 + 15 = 95 hundredths
  3. Answer: 0.95

Question 20: 0.9 - 0.4 = ?

Answer: 0.5

Steps:

  1. Subtract tenths: 9 - 4 = 5
  2. Keep decimal aligned
  3. Answer: 0.5

Question 21: 0.58 - 0.23 = ?

Answer: 0.35

Steps:

  1. Subtract hundredths: 58 - 23 = 35
  2. Keep decimal aligned
  3. Answer: 0.35

Question 22: 1.0 - 0.6 = ?

Answer: 0.4

Steps:

  1. 10 tenths - 6 tenths = 4 tenths
  2. Answer: 0.4

Question 23: 3.7 - 1.5 = ?

Answer: 2.2

Steps:

  1. Tenths: 7 - 5 = 2
  2. Ones: 3 - 1 = 2
  3. Answer: 2.2

Question 24: 2.3 - 0.8 = ?

Answer: 1.5

Steps:

  1. Borrow: 2.3 = 1 and 13 tenths
  2. 13 - 8 = 5 tenths
  3. Answer: 1.5

Question 25: 5.00 - 2.45 = ?

Answer: 2.55

Steps:

  1. Borrow: 4.100 - 2.45
  2. Hundredths: 10 - 5 = 5
  3. Tenths: 9 - 4 = 5
  4. Ones: 4 - 2 = 2
  5. Answer: 2.55

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