Math worksheet for practicing comparing and ordering decimals, featuring fill-in-the-blank questions and number sequences.

Let's solve the worksheet step by step.

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1) Write <, >, or = to compare the decimals.

We compare decimals by looking at each digit from left to right.

#### (a) 1.2 ___ 1.1
- Compare whole numbers: both are 1 → equal so far.
- Compare tenths: 2 vs 1 → 2 > 1
✔ 1.2 > 1.1

#### (b) 3.54 ___ 3.55
- Whole numbers: both 3
- Tenths: both 5
- Hundredths: 4 vs 5 → 4 < 5
✔ 3.54 < 3.55

#### (c) 12.9 ___ 12.92
- Whole numbers: both 12
- Tenths: both 9
- But 12.9 = 12.90 → now compare 12.90 and 12.92
- Hundredths: 0 vs 2 → 0 < 2
✔ 12.9 < 12.92

#### (d) 8.5 ___ 8.62
- Whole numbers: both 8
- Tenths: 5 vs 6 → 5 < 6
✔ 8.5 < 8.62

#### (e) 4.3 ___ 4.30
- 4.3 = 4.30 (adding zero doesn't change value)
✔ 4.3 = 4.30

#### (f) 6.619 ___ 5.619
- Whole numbers: 6 vs 5 → 6 > 5
✔ 6.619 > 5.619

#### (g) 1.255 ___ 1.256
- Whole numbers: both 1
- Tenths: both 2
- Hundredths: both 5
- Thousandths: 5 vs 6 → 5 < 6
✔ 1.255 < 1.256

#### (h) 12.86 ___ 12.88
- Whole numbers: both 12
- Tenths: both 8
- Hundredths: 6 vs 8 → 6 < 8
✔ 12.86 < 12.88

#### (i) 9.88 ___ 9.999
- Whole numbers: both 9
- Tenths: 8 vs 9 → 8 < 9
✔ 9.88 < 9.999

#### (j) 7.03 ___ 7.3
- Whole numbers: both 7
- Tenths: 0 vs 3 → 0 < 3
✔ 7.03 < 7.3

#### (k) 19.98 ___ 19.99
- Whole numbers: both 19
- Tenths: both 9
- Hundredths: 8 vs 9 → 8 < 9
✔ 19.98 < 19.99

#### (l) 16.88 ___ 16.08
- Whole numbers: both 16
- Tenths: 8 vs 0 → 8 > 0
✔ 16.88 > 16.08

#### (m) 3.54 ___ 3.55
- Same as (b): 3.54 < 3.55
✔ 3.54 < 3.55

#### (n) 44.2 ___ 44.21
- 44.2 = 44.20
- Compare 44.20 and 44.21 → hundredths: 0 < 1
✔ 44.2 < 44.21

#### (o) 22.605 ___ 22.650
- Whole numbers: both 22
- Tenths: both 6
- Hundredths: 0 vs 5 → 0 < 5
✔ 22.605 < 22.650

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1) Answers:

(a) >
(b) <
(c) <
(d) <
(e) =
(f) >
(g) <
(h) <
(i) <
(j) <
(k) <
(l) >
(m) <
(n) <
(o) <

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2) Write these decimals in ascending order.

We’ll sort each group from smallest to largest.

#### (a) 1.75, 5.75, 1.78, 1.7
- Compare whole numbers first:
- 1.75, 1.78, 1.7 → all have 1
- 5.75 → larger
- Now compare tenths:
- 1.7, 1.75, 1.78 → look at hundredths
- 1.7 = 1.70
- So: 1.70, 1.75, 1.78
- Then 5.75
✔ 1.7, 1.75, 1.78, 5.75

#### (b) 1.11, 1.1, 1.101, 1.01
- All start with 1
- Tenths: all 1 → look at hundredths
- 1.01 → hundredths = 0
- 1.1 = 1.10 → hundredths = 0
- 1.11 → hundredths = 1
- 1.101 → hundredths = 0, thousandths = 1
- So:
- 1.01 → 1.010
- 1.1 → 1.100
- 1.101 → 1.101
- 1.11 → 1.110
- Order: 1.01, 1.1, 1.101, 1.11
✔ 1.01, 1.1, 1.101, 1.11

#### (c) 4.3, 4.44, 4.34, 4.43
- All have 4
- Tenths:
- 4.3 = 4.30
- 4.34
- 4.43
- 4.44
- So: 4.30, 4.34, 4.43, 4.44
✔ 4.3, 4.34, 4.43, 4.44

#### (d) 0.12, 0.01, 0.001, 0.1
- All less than 1
- Compare tenths:
- 0.01 → 0.010
- 0.001 → 0.001
- 0.1 → 0.100
- 0.12 → 0.120
- So: 0.001, 0.01, 0.1, 0.12
✔ 0.001, 0.01, 0.1, 0.12

#### (e) 2.7, 3.7, 7.3, 7.2, 7.02
- Whole numbers:
- 2.7 → smallest
- 3.7
- 7.02, 7.2, 7.3
- Among 7s:
- 7.02, 7.2 = 7.20, 7.3 = 7.30 → so 7.02 < 7.2 < 7.3
- Final order: 2.7, 3.7, 7.02, 7.2, 7.3
✔ 2.7, 3.7, 7.02, 7.2, 7.3

#### (f) 7.2, 6.4, 6.7, 6.42, 7.65
- Whole numbers:
- 6.4, 6.42, 6.7 → all 6s
- 7.2, 7.65 → both 7s
- Among 6s:
- 6.4 = 6.40
- 6.42 → 6.42
- 6.7 = 6.70
- So: 6.40, 6.42, 6.70
- Among 7s:
- 7.2 = 7.20, 7.65 → 7.20 < 7.65
- Final: 6.4, 6.42, 6.7, 7.2, 7.65
✔ 6.4, 6.42, 6.7, 7.2, 7.65

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2) Answers:

(a) 1.7, 1.75, 1.78, 5.75
(b) 1.01, 1.1, 1.101, 1.11
(c) 4.3, 4.34, 4.43, 4.44
(d) 0.001, 0.01, 0.1, 0.12
(e) 2.7, 3.7, 7.02, 7.2, 7.3
(f) 6.4, 6.42, 6.7, 7.2, 7.65

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✔ Final Answer Summary:

#### 1) Comparisons:
(a) >
(b) <
(c) <
(d) <
(e) =
(f) >
(g) <
(h) <
(i) <
(j) <
(k) <
(l) >
(m) <
(n) <
(o) <

#### 2) Ascending Order:
(a) 1.7, 1.75, 1.78, 5.75
(b) 1.01, 1.1, 1.101, 1.11
(c) 4.3, 4.34, 4.43, 4.44
(d) 0.001, 0.01, 0.1, 0.12
(e) 2.7, 3.7, 7.02, 7.2, 7.3
(f) 6.4, 6.42, 6.7, 7.2, 7.65

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