Write the following fractions in order of size.
Start with the smallest fraction.
12 23 14
Start with the smallest fraction.
12 23 14
Ordering FDP — Notes & Worked Examples Show / Hide
Explanation:
To put decimals in order of size, write them underneath each other with the decimal points lined up and pad the end of shorter decimals with placeholder zeros so every number has the same length. Compare digits from left to right.
To order a mixture of fractions, decimals, and percentages (FDP), convert every number into the same format first (either all decimals with 2 d.p. or all percentages). Always write your final answer using the original numbers given in the question.
Example 1: Write in order from smallest to largest:
0.45, 0.405, 0.4, 0.5, 0.048
Solution:
Give every number 3 decimal places:
0.450, 0.405, 0.400, 0.500, 0.048
Order the thousandths: 048 < 400 < 405 < 450 < 500
Write in original form:
Answer: 0.048, 0.4, 0.405, 0.45, 0.5
Example 2: Write in ascending order (smallest first):
35, 58%, 0.62, 1120
Solution:
Convert each value to a percentage (or decimal):
• 35 = 60100 = 60% • 58% = 58%
• 0.62 = 62% • 1120 = 55100 = 55%
Order: 55% < 58% < 60% < 62%
Answer: 1120, 58%, 35, 0.62
Here are four fractions.
34 57 1925 1115
Write the fractions in order of size.
Start with the smallest fraction.
34 57 1925 1115
Write the fractions in order of size.
Start with the smallest fraction.
Worked Solution & Answer
5/7 = 0.714..., 11/15 = 0.733..., 3/4 = 0.75, 19/25 = 0.76 M1 A1
Answer: 57, 1115, 34, 1925
Here are four fractions.
25 1130 12 715
Write these fractions in order of size.
Start with the smallest fraction.
25 1130 12 715
Write these fractions in order of size.
Start with the smallest fraction.
Worked Solution & Answer
Over 30: 2/5 = 12/30, 11/30, 1/2 = 15/30, 7/15 = 14/30 → 11/30, 2/5, 7/15, 1/2 M1 A1
Answer: 1130,\ 25,\ 715,\ 12
Put these values in order of size, starting with the smallest.
80% 0.7 34
80% 0.7 34
Answer
%
Worked Solution & Answer
80% = 0.80, 0.7 = 0.70, 34 = 0.75 M1
In ascending order: 0.7, 34, 80%. A1
In ascending order: 0.7, 34, 80%. A1
Answer: Answer 0.7, 34, 80% %
Write the following fractions in order of size.
Start with the smallest fraction.
13 34 14 712 12
Start with the smallest fraction.
13 34 14 712 12
Worked Solution & Answer
In twelfths: 4/12, 9/12, 3/12, 7/12, 6/12 → 1/4, 1/3, 1/2, 7/12, 3/4 M1 A1
Answer: 14, 13, 12, 712, 34
Write the following numbers in order of size.
Start with the smallest number.
712 0.56 57% 611 0.558
Start with the smallest number.
712 0.56 57% 611 0.558
Worked Solution & Answer
6/11 ≈ 0.545, 0.558, 0.56, 57% = 0.57, 7/12 ≈ 0.583 M1 A1
Answer: 611,\ 0.558,\ 0.56,\ 57%,\ 712
Write the following fractions in order of size.
Start with the smallest fraction.
58 23 49 35
Start with the smallest fraction.
58 23 49 35
Worked Solution & Answer
4/9 ≈ 0.444, 3/5 = 0.6, 5/8 = 0.625, 2/3 ≈ 0.667 M1 A1
Answer: 49,\ 35,\ 58,\ 23
A rectangle is made from 30 small coloured square tiles.
(a) Work out the number of red tiles. [3 marks]
(b) Put the following numbers in order of size.
Start with the smallest number.
0.76 25% 0.0766 8% 0.026 [2 marks]
Start with the smallest number.
0.76 25% 0.0766 8% 0.026 [2 marks]
Worked Solution & Answer
(a)
Yellow = 0.3 × 30 = 9. Blue = (1/3) × 30 = 10 M2
Red = 30 – (9 + 10) = 11 A1
Red = 30 – (9 + 10) = 11 A1
Answer (a): 11
(b)
As decimals: 0.026, 0.0766, 0.08 (8%), 0.25 (25%), 0.76 M1 A1
Answer (b): 0.026, 0.0766, 8%, 25%, 0.76
Here is a shape made from squares.
(a) What fraction of this shape is shaded? [1 mark]
(b) Write 235 as a mixed number. [1 mark]
(c) Write 0.23 as a fraction. [1 mark]
(d) Write 25 as a decimal. [1 mark]
(e) Write these decimals in order of size.
Start with the smallest decimal.
3.61 3.9 3.555 3.82 3.7 [1 mark]
Start with the smallest decimal.
3.61 3.9 3.555 3.82 3.7 [1 mark]
Worked Solution & Answer
(a)
11 out of 15 squares shaded B1
Answer (a): 1115
(b)
23 ÷ 5 = 4 r 3 B1
Answer (b): 435
(c)
23/100 B1
Answer (c): 23100
(d)
0.4
Answer (d): 0.4
(e)
3.555 < 3.61 < 3.7 < 3.82 < 3.9 B1
Answer (e): 3.555, 3.61, 3.7, 3.82, 3.9
(a) Order 7.831, 7.04, 7.002, 7.9, 7.013 (1) (b) 7% as decimal (1) (c) 0.47 as fraction (1) (d) 0.63 as % (1) (e) 0.003 × □ = 9 (1)
(a) Write these decimals in order of size.
Start with the smallest decimal.
7.831 7.04 7.002 7.9 7.013 [1 mark]
Start with the smallest decimal.
7.831 7.04 7.002 7.9 7.013 [1 mark]
(b) Write 7% as a decimal. [1 mark]
(c) Write 0.47 as a fraction. [1 mark]
(d) Write 0.63 as a percentage. [1 mark]
%
(e) Write a number in the box to make the calculation correct. [1 mark]
Worked Solution & Answer
(a)
7.002, 7.013, 7.04, 7.831, 7.9
Answer (a): 7.002, 7.013, 7.04, 7.831, 7.9
(b)
0.07
Answer (b): 0.07
(c)
47100
Answer (c): 47100
(d)
63
Answer (d): 63 %
(e)
3000
Answer (e): 3000