Ordering Fractions, Decimals, and Percentages worksheet for educational practice.

I'll solve this worksheet step by step, working through each question carefully.

Question 1: Choose the correct symbol (<, =, or >)

To compare these numbers, I need to convert them all to the same format (decimals) so I can compare them easily.

a) 0.35 vs 32%
- 32% = 32/100 = 0.32
- 0.35 vs 0.32
- 0.35 > 0.32
- Answer: >

b) 0.4 vs 4%
- 4% = 4/100 = 0.04
- 0.4 vs 0.04
- 0.4 > 0.04
- Answer: >

c) 0.2 vs 1/5
- 1/5 = 0.2
- 0.2 vs 0.2
- They are equal
- Answer: =

d) 3/5 vs 0.55
- 3/5 = 0.6
- 0.6 vs 0.55
- 0.6 > 0.55
- Answer: >

e) 75% vs 3/4
- 75% = 0.75
- 3/4 = 0.75
- They are equal
- Answer: =

f) 0.09 vs 90%
- 90% = 0.90
- 0.09 vs 0.90
- 0.09 < 0.90
- Answer: <

Question 2: Put in ascending order (smallest to largest)

For each set, I'll convert everything to decimals first.

a) 70%, 3/4, 0.6, 2/3
- 70% = 0.70
- 3/4 = 0.75
- 0.6 = 0.60
- 2/3 ≈ 0.667
- In order: 0.60, 0.667, 0.70, 0.75
- Answer: 0.6, 2/3, 70%, 3/4

b) 0.4, 7/15, 35%, 3/7
- 0.4 = 0.40
- 7/15 ≈ 0.467
- 35% = 0.35
- 3/7 ≈ 0.429
- In order: 0.35, 0.40, 0.429, 0.467
- Answer: 35%, 0.4, 3/7, 7/15

c) 0.82, 4/5, 85%, 2/3, 7/8
- 0.82 = 0.82
- 4/5 = 0.80
- 85% = 0.85
- 2/3 ≈ 0.667
- 7/8 = 0.875
- In order: 0.667, 0.80, 0.82, 0.85, 0.875
- Answer: 2/3, 4/5, 0.82, 85%, 7/8

d) 5/8, 0.6, 62%, 2/3, 0.06
- 5/8 = 0.625
- 0.6 = 0.60
- 62% = 0.62
- 2/3 ≈ 0.667
- 0.06 = 0.06
- In order: 0.06, 0.60, 0.62, 0.625, 0.667
- Answer: 0.06, 0.6, 62%, 5/8, 2/3

e) 8/9, 88%, 0.89, 9/10, 7/8
- 8/9 ≈ 0.889
- 88% = 0.88
- 0.89 = 0.89
- 9/10 = 0.90
- 7/8 = 0.875
- In order: 0.875, 0.88, 0.889, 0.89, 0.90
- Answer: 7/8, 88%, 8/9, 0.89, 9/10

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Final Answer:

Question 1:
a) >
b) >
c) =
d) >
e) =
f) <

Question 2:
a) 0.6, 2/3, 70%, 3/4
b) 35%, 0.4, 3/7, 7/15
c) 2/3, 4/5, 0.82, 85%, 7/8
d) 0.06, 0.6, 62%, 5/8, 2/3
e) 7/8, 88%, 8/9, 0.89, 9/10