Ordering Decimals Textbook Exercise - Corbettmaths - Free Printable

Problem: Ordering Decimals

The task is to arrange the given sets of decimal numbers in order from smallest to largest. Let's solve each part step by step.

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#### Question 1: Arrange in order from smallest to largest

##### (a) 3.7, 3.5, 3.9, 3.4, 3.8
- Compare the numbers:
- 3.4 < 3.5 < 3.7 < 3.8 < 3.9
- Answer: \( \boxed{3.4, 3.5, 3.7, 3.8, 3.9} \)

##### (b) 9.2, 2.9, 5.4, 1.8, 8.7
- Compare the numbers:
- 1.8 < 2.9 < 5.4 < 8.7 < 9.2
- Answer: \( \boxed{1.8, 2.9, 5.4, 8.7, 9.2} \)

##### (c) 4.6, 4.9, 14.1, 0.9, 1.2
- Compare the numbers:
- 0.9 < 1.2 < 4.6 < 4.9 < 14.1
- Answer: \( \boxed{0.9, 1.2, 4.6, 4.9, 14.1} \)

##### (d) 8.13, 8.05, 8.24, 8.09, 8.15, 8.02
- Compare the numbers:
- 8.02 < 8.05 < 8.09 < 8.13 < 8.15 < 8.24
- Answer: \( \boxed{8.02, 8.05, 8.09, 8.13, 8.15, 8.24} \)

##### (e) 1.53, 1.48, 1.59, 1.44, 2.11, 0.98
- Compare the numbers:
- 0.98 < 1.44 < 1.48 < 1.53 < 1.59 < 2.11
- Answer: \( \boxed{0.98, 1.44, 1.48, 1.53, 1.59, 2.11} \)

##### (f) 0.59, 1.24, 0.45, 1.34, 0.88, 2.01
- Compare the numbers:
- 0.45 < 0.59 < 0.88 < 1.24 < 1.34 < 2.01
- Answer: \( \boxed{0.45, 0.59, 0.88, 1.24, 1.34, 2.01} \)

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#### Question 2: Arrange in order from smallest to largest

##### (a) 1.2, 1.08, 1.13, 1.6, 1.29
- Compare the numbers:
- 1.08 < 1.13 < 1.2 < 1.29 < 1.6
- Answer: \( \boxed{1.08, 1.13, 1.2, 1.29, 1.6} \)

##### (b) 5.25, 5.2, 5.19, 5.08, 5.1, 5.21
- Compare the numbers:
- 5.08 < 5.1 < 5.19 < 5.2 < 5.21 < 5.25
- Answer: \( \boxed{5.08, 5.1, 5.19, 5.2, 5.21, 5.25} \)

##### (c) 40.6, 46.1, 40.49, 40.68, 46, 46.09
- Compare the numbers:
- 40.49 < 40.6 < 40.68 < 46 < 46.09 < 46.1
- Answer: \( \boxed{40.49, 40.6, 40.68, 46, 46.09, 46.1} \)

##### (d) 0.24, 0.3, 0.125, 0.2, 0.199, 0.18
- Compare the numbers:
- 0.125 < 0.18 < 0.199 < 0.2 < 0.24 < 0.3
- Answer: \( \boxed{0.125, 0.18, 0.199, 0.2, 0.24, 0.3} \)

##### (e) 0.82, 0.082, 0.9, 0.807, 0.8
- Compare the numbers:
- 0.082 < 0.8 < 0.807 < 0.82 < 0.9
- Answer: \( \boxed{0.082, 0.8, 0.807, 0.82, 0.9} \)

##### (f) 65, 6.5, 0.65, 7.65, 0.076, 7
- Compare the numbers:
- 0.076 < 0.65 < 6.5 < 7 < 7.65 < 65
- Answer: \( \boxed{0.076, 0.65, 6.5, 7, 7.65, 65} \)

##### (g) 0.25, 0.3, 0.2, 0.06, 0.19
- Compare the numbers:
- 0.06 < 0.19 < 0.2 < 0.25 < 0.3
- Answer: \( \boxed{0.06, 0.19, 0.2, 0.25, 0.3} \)

##### (h) 7.81, 7.49, 7.9, 7.007, 7.1, 7.107
- Compare the numbers:
- 7.007 < 7.1 < 7.107 < 7.49 < 7.81 < 7.9
- Answer: \( \boxed{7.007, 7.1, 7.107, 7.49, 7.81, 7.9} \)

##### (i) 10.083, 10.08, 10.009, 10.56, 10.3
- Compare the numbers:
- 10.009 < 10.08 < 10.083 < 10.3 < 10.56
- Answer: \( \boxed{10.009, 10.08, 10.083, 10.3, 10.56} \)

##### (j) 0.342, 0.075, 0.256, 0.34, 0.6, 0.4
- Compare the numbers:
- 0.075 < 0.256 < 0.34 < 0.342 < 0.4 < 0.6
- Answer: \( \boxed{0.075, 0.256, 0.34, 0.342, 0.4, 0.6} \)

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Final Answers:

1. (a) \( \boxed{3.4, 3.5, 3.7, 3.8, 3.9} \)
(b) \( \boxed{1.8, 2.9, 5.4, 8.7, 9.2} \)
(c) \( \boxed{0.9, 1.2, 4.6, 4.9, 14.1} \)
(d) \( \boxed{8.02, 8.05, 8.09, 8.13, 8.15, 8.24} \)
(e) \( \boxed{0.98, 1.44, 1.48, 1.53, 1.59, 2.11} \)
(f) \( \boxed{0.45, 0.59, 0.88, 1.24, 1.34, 2.01} \)

2. (a) \( \boxed{1.08, 1.13, 1.2, 1.29, 1.6} \)
(b) \( \boxed{5.08, 5.1, 5.19, 5.2, 5.21, 5.25} \)
(c) \( \boxed{40.49, 40.6, 40.68, 46, 46.09, 46.1} \)
(d) \( \boxed{0.125, 0.18, 0.199, 0.2, 0.24, 0.3} \)
(e) \( \boxed{0.082, 0.8, 0.807, 0.82, 0.9} \)
(f) \( \boxed{0.076, 0.65, 6.5, 7, 7.65, 65} \)
(g) \( \boxed{0.06, 0.19, 0.2, 0.25, 0.3} \)
(h) \( \boxed{7.007, 7.1, 7.107, 7.49, 7.81, 7.9} \)
(i) \( \boxed{10.009, 10.08, 10.083, 10.3, 10.56} \)
(j) \( \boxed{0.075, 0.256, 0.34, 0.342, 0.4, 0.6} \)