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How to Order Decimals – Year 7 Theory and Practice

Struggling with ordering decimals in Year 7? This complete guide explains the theory in simple steps, provides worked examples, and includes practice questions with answers. Build your confidence and get better at decimal ordering today!
Ordering Decimals

Table of Contents

What are Decimals?

Decimals, much like fractions, are a way to represent parts of a whole. They are distinguished by the presence of a decimal point (.).

Examples:
– 0.5 means half of a number or 5 tenths
– 3.85 means 3 whole numbers, 8 tenths, and 5 hundredths

 

How To Compare Two Decimals?

To compare or order decimals, follow these steps:

  1. Compare the digits in the tenths place (1st digit after the decimal point)

  2. If they are the same, compare the hundredths place (2 digits after the decimal)

  3. If needed, continue to the thousandths place (3 digits after the decimal), and so on

Always compare each place value from left to right until you find a difference.

 

Example On How to Order Decimals:

Example: Compare 9.9999, 9.09099, 9.99

Step 1: To make comparison easier, add zeros so all numbers have the same number of decimal places:

  • 9.99990
  • 9.09099
  • 9.99000

Step 2: Now, ignore the whole number (9) and compare only the digits after the decimal:

  • 99990
  • 09099
  • 99000

Step 3: Now we can see the order of the decimals in ascending order:

  • 99990 => Highest
  • 09099 => Lowest
  • 99000 => 2nd Lowest

From smallest to largest: 09099 < 99000 < 99990

🎯 Can You Beat These Tricky Decimal Questions? Try Now!

Interactive maths practice

Ordering Decimals Practice Questions

Practise arranging decimal numbers in ascending order from smallest to largest. Begin with tenths and hundredths, then progress to thousandths and challenging numbers with up to five decimal places.

  • 3 progressive levels
  • 30 practice questions
  • Instant answer checks
  • Hints and full working
0Attempted
0Correct
30Total questions
Overall progress0 of 30 correct
0 of 30 correct

Enter each sequence using commas or less-than signs. Spaces do not matter. Your answers and checked results are saved automatically in this browser.

Level 1 Ordering Decimals — Easy 10 questions · Tenths and hundredths 0/10

Tip: Line up the decimal points and add placeholder zeros when helpful. Enter the numbers from smallest to largest, separated by commas.

  1. Arrange in ascending order: 0.3, 0.25, 0.35

    View hint and full working

    Hint: Write 0.3 as 0.30. Then compare 25, 30 and 35 hundredths.

    Working
    Use 2 decimal places: 0.30, 0.25, 0.35
    Compare from left to right: 0.25 < 0.30 < 0.35
    Ascending order: 0.25, 0.3, 0.35
    Answer: 0.25, 0.3, 0.35

  2. Arrange in ascending order: 1.2, 1.15, 1.25

    View hint and full working

    Hint: Write 1.2 as 1.20, then compare the hundredths.

    Working
    Use 2 decimal places: 1.20, 1.15, 1.25
    Compare from left to right: 1.15 < 1.20 < 1.25
    Ascending order: 1.15, 1.2, 1.25
    Answer: 1.15, 1.2, 1.25

  3. Arrange in ascending order: 0.4, 0.45, 0.5

    View hint and full working

    Hint: Write the numbers as 0.40, 0.45 and 0.50.

    Working
    Use 2 decimal places: 0.40, 0.45, 0.50
    Compare from left to right: 0.40 < 0.45 < 0.50
    Ascending order: 0.4, 0.45, 0.5
    Answer: 0.4, 0.45, 0.5

  4. Arrange in ascending order: 0.8, 0.75, 0.7

    View hint and full working

    Hint: Write the numbers as 0.80, 0.75 and 0.70.

    Working
    Use 2 decimal places: 0.80, 0.75, 0.70
    Compare from left to right: 0.70 < 0.75 < 0.80
    Ascending order: 0.7, 0.75, 0.8
    Answer: 0.7, 0.75, 0.8

  5. Arrange in ascending order: 0.1, 0.05, 0.15

    View hint and full working

    Hint: Write 0.1 as 0.10, then compare the hundredths.

    Working
    Use 2 decimal places: 0.10, 0.05, 0.15
    Compare from left to right: 0.05 < 0.10 < 0.15
    Ascending order: 0.05, 0.1, 0.15
    Answer: 0.05, 0.1, 0.15

  6. Arrange in ascending order: 2.1, 2.01, 2.11

    View hint and full working

    Hint: The whole-number parts are equal, so compare 0.01, 0.10 and 0.11.

    Working
    Use 2 decimal places: 2.10, 2.01, 2.11
    Compare from left to right: 2.01 < 2.10 < 2.11
    Ascending order: 2.01, 2.1, 2.11
    Answer: 2.01, 2.1, 2.11

  7. Arrange in ascending order: 3.2, 3.25, 3.15

    View hint and full working

    Hint: Write 3.2 as 3.20, then compare the hundredths.

    Working
    Use 2 decimal places: 3.20, 3.25, 3.15
    Compare from left to right: 3.15 < 3.20 < 3.25
    Ascending order: 3.15, 3.2, 3.25
    Answer: 3.15, 3.2, 3.25

  8. Arrange in ascending order: 0.55, 0.5, 0.6

    View hint and full working

    Hint: Write the numbers as 0.55, 0.50 and 0.60.

    Working
    Use 2 decimal places: 0.55, 0.50, 0.60
    Compare from left to right: 0.50 < 0.55 < 0.60
    Ascending order: 0.5, 0.55, 0.6
    Answer: 0.5, 0.55, 0.6

  9. Arrange in ascending order: 1.5, 1.45, 1.55

    View hint and full working

    Hint: Write 1.5 as 1.50, then compare the hundredths.

    Working
    Use 2 decimal places: 1.50, 1.45, 1.55
    Compare from left to right: 1.45 < 1.50 < 1.55
    Ascending order: 1.45, 1.5, 1.55
    Answer: 1.45, 1.5, 1.55

  10. Arrange in ascending order: 0.9, 0.95, 1.0

    View hint and full working

    Hint: 0.9 and 0.95 are less than one whole.

    Working
    Use 2 decimal places: 0.90, 0.95, 1.00
    Compare from left to right: 0.90 < 0.95 < 1.00
    Ascending order: 0.9, 0.95, 1.0
    Answer: 0.9, 0.95, 1.0

Level 2 Ordering Decimals — Medium 10 questions · Hundredths and thousandths 0/10

Tip: Compare digits from left to right. Adding zeros at the end of a decimal does not change its value.

  1. Arrange in ascending order: 0.52, 0.58, 0.55

    View hint and full working

    Hint: The tenths are equal, so compare the hundredths: 2, 5 and 8.

    Working
    Use 2 decimal places: 0.52, 0.58, 0.55
    Compare from left to right: 0.52 < 0.55 < 0.58
    Ascending order: 0.52, 0.55, 0.58
    Answer: 0.52, 0.55, 0.58

  2. Arrange in ascending order: 1.45, 1.435, 1.5

    View hint and full working

    Hint: Write the numbers as 1.450, 1.435 and 1.500.

    Working
    Use 3 decimal places: 1.450, 1.435, 1.500
    Compare from left to right: 1.435 < 1.450 < 1.500
    Ascending order: 1.435, 1.45, 1.5
    Answer: 1.435, 1.45, 1.5

  3. Arrange in ascending order: 0.707, 0.7, 0.77

    View hint and full working

    Hint: Write the numbers as 0.707, 0.700 and 0.770.

    Working
    Use 3 decimal places: 0.707, 0.700, 0.770
    Compare from left to right: 0.700 < 0.707 < 0.770
    Ascending order: 0.7, 0.707, 0.77
    Answer: 0.7, 0.707, 0.77

  4. Arrange in ascending order: 2.125, 2.12, 2.13

    View hint and full working

    Hint: Write the numbers as 2.125, 2.120 and 2.130.

    Working
    Use 3 decimal places: 2.125, 2.120, 2.130
    Compare from left to right: 2.120 < 2.125 < 2.130
    Ascending order: 2.12, 2.125, 2.13
    Answer: 2.12, 2.125, 2.13

  5. Arrange in ascending order: 0.666, 0.66, 0.606

    View hint and full working

    Hint: Write the numbers as 0.666, 0.660 and 0.606.

    Working
    Use 3 decimal places: 0.666, 0.660, 0.606
    Compare from left to right: 0.606 < 0.660 < 0.666
    Ascending order: 0.606, 0.66, 0.666
    Answer: 0.606, 0.66, 0.666

  6. Arrange in ascending order: 1.235, 1.253, 1.225

    View hint and full working

    Hint: Compare the hundredths first, then the thousandths.

    Working
    Use 3 decimal places: 1.235, 1.253, 1.225
    Compare from left to right: 1.225 < 1.235 < 1.253
    Ascending order: 1.225, 1.235, 1.253
    Answer: 1.225, 1.235, 1.253

  7. Arrange in ascending order: 3.005, 3.05, 3.5

    View hint and full working

    Hint: Write the numbers as 3.005, 3.050 and 3.500.

    Working
    Use 3 decimal places: 3.005, 3.050, 3.500
    Compare from left to right: 3.005 < 3.050 < 3.500
    Ascending order: 3.005, 3.05, 3.5
    Answer: 3.005, 3.05, 3.5

  8. Arrange in ascending order: 0.875, 0.85, 0.88

    View hint and full working

    Hint: Write the numbers as 0.875, 0.850 and 0.880.

    Working
    Use 3 decimal places: 0.875, 0.850, 0.880
    Compare from left to right: 0.850 < 0.875 < 0.880
    Ascending order: 0.85, 0.875, 0.88
    Answer: 0.85, 0.875, 0.88

  9. Arrange in ascending order: 4.4, 4.44, 4.444

    View hint and full working

    Hint: Write the numbers as 4.400, 4.440 and 4.444.

    Working
    Use 3 decimal places: 4.400, 4.440, 4.444
    Compare from left to right: 4.400 < 4.440 < 4.444
    Ascending order: 4.4, 4.44, 4.444
    Answer: 4.4, 4.44, 4.444

  10. Arrange in ascending order: 2.222, 2.212, 2.22

    View hint and full working

    Hint: Write 2.22 as 2.220, then compare the thousandths.

    Working
    Use 3 decimal places: 2.222, 2.212, 2.220
    Compare from left to right: 2.212 < 2.220 < 2.222
    Ascending order: 2.212, 2.22, 2.222
    Answer: 2.212, 2.22, 2.222

Level 3 Ordering Decimals — Hard 10 questions · Up to five decimal places 0/10

Tip: Use a place-value table or write every number with the same number of decimal places before comparing.

  1. Arrange in ascending order: 0.0999, 0.1, 0.1001

    View hint and full working

    Hint: Write 0.1 as 0.1000 and compare all four decimal places.

    Working
    Use 4 decimal places: 0.0999, 0.1000, 0.1001
    Compare from left to right: 0.0999 < 0.1000 < 0.1001
    Ascending order: 0.0999, 0.1, 0.1001
    Answer: 0.0999, 0.1, 0.1001

  2. Arrange in ascending order: 0.3333, 0.333, 0.33

    View hint and full working

    Hint: Write the numbers as 0.3333, 0.3330 and 0.3300.

    Working
    Use 4 decimal places: 0.3333, 0.3330, 0.3300
    Compare from left to right: 0.3300 < 0.3330 < 0.3333
    Ascending order: 0.33, 0.333, 0.3333
    Answer: 0.33, 0.333, 0.3333

  3. Arrange in ascending order: 2.019, 2.0099, 2.02

    View hint and full working

    Hint: Write the numbers as 2.0190, 2.0099 and 2.0200.

    Working
    Use 4 decimal places: 2.0190, 2.0099, 2.0200
    Compare from left to right: 2.0099 < 2.0190 < 2.0200
    Ascending order: 2.0099, 2.019, 2.02
    Answer: 2.0099, 2.019, 2.02

  4. Arrange in ascending order: 1.1111, 1.11111, 1.111

    View hint and full working

    Hint: Write the numbers with five decimal places before comparing.

    Working
    Use 5 decimal places: 1.11110, 1.11111, 1.11100
    Compare from left to right: 1.11100 < 1.11110 < 1.11111
    Ascending order: 1.111, 1.1111, 1.11111
    Answer: 1.111, 1.1111, 1.11111

  5. Arrange in ascending order: 5.555, 5.5055, 5.55

    View hint and full working

    Hint: Write the numbers as 5.5550, 5.5055 and 5.5500.

    Working
    Use 4 decimal places: 5.5550, 5.5055, 5.5500
    Compare from left to right: 5.5055 < 5.5500 < 5.5550
    Ascending order: 5.5055, 5.55, 5.555
    Answer: 5.5055, 5.55, 5.555

  6. Arrange in ascending order: 0.2002, 0.202, 0.20002

    View hint and full working

    Hint: Write the numbers as 0.20020, 0.20200 and 0.20002.

    Working
    Use 5 decimal places: 0.20020, 0.20200, 0.20002
    Compare from left to right: 0.20002 < 0.20020 < 0.20200
    Ascending order: 0.20002, 0.2002, 0.202
    Answer: 0.20002, 0.2002, 0.202

  7. Arrange in ascending order: 3.141, 3.1415, 3.1414

    View hint and full working

    Hint: Write 3.141 as 3.1410, then compare the fourth decimal place.

    Working
    Use 4 decimal places: 3.1410, 3.1415, 3.1414
    Compare from left to right: 3.1410 < 3.1414 < 3.1415
    Ascending order: 3.141, 3.1414, 3.1415
    Answer: 3.141, 3.1414, 3.1415

  8. Arrange in ascending order: 0.0009, 0.009, 0.00099

    View hint and full working

    Hint: Write the numbers as 0.00090, 0.00900 and 0.00099.

    Working
    Use 5 decimal places: 0.00090, 0.00900, 0.00099
    Compare from left to right: 0.00090 < 0.00099 < 0.00900
    Ascending order: 0.0009, 0.00099, 0.009
    Answer: 0.0009, 0.00099, 0.009

  9. Arrange in ascending order: 4.0001, 4.00001, 4.001

    View hint and full working

    Hint: Write the numbers as 4.00010, 4.00001 and 4.00100.

    Working
    Use 5 decimal places: 4.00010, 4.00001, 4.00100
    Compare from left to right: 4.00001 < 4.00010 < 4.00100
    Ascending order: 4.00001, 4.0001, 4.001
    Answer: 4.00001, 4.0001, 4.001

  10. Arrange in ascending order: 0.6667, 0.667, 0.66666

    View hint and full working

    Hint: Write the numbers as 0.66670, 0.66700 and 0.66666.

    Working
    Use 5 decimal places: 0.66670, 0.66700, 0.66666
    Compare from left to right: 0.66666 < 0.66670 < 0.66700
    Ascending order: 0.66666, 0.6667, 0.667
    Answer: 0.66666, 0.6667, 0.667
is complete block into one Elementor HTML widget. FINAL TEMPLATE RULES FOR FUTURE TESTS: 1. Keep the CSS, HTML structure and JavaScript unchanged. 2. Keep every question, hint, accepted answer and worked solution directly in the HTML. 3. Do not move important educational content into JavaScript. 4. For a new topic, change the root ID, storage key, titles, levels, questions and answers only. 5. Keep one H2 for the test title and H3 headings for levels. Question text is not a heading. This version focuses on clean design, crawlable content, accessibility and efficient browser performance. -->
Interactive maths practice

Ordering Decimals Practice Questions

Practise arranging decimal numbers in ascending order from smallest to largest. Begin with tenths and hundredths, then progress to thousandths and challenging numbers with up to five decimal places.

  • 3 progressive levels
  • 30 practice questions
  • Instant answer checks
  • Hints and full working
0Attempted
0Correct
30Total questions
Overall progress0 of 30 correct
0 of 30 correct

Enter each sequence using commas or less-than signs. Spaces do not matter. Your answers and checked results are saved automatically in this browser.

Level 1 Ordering Decimals — Easy 10 questions · Tenths and hundredths 0/10

Tip: Line up the decimal points and add placeholder zeros when helpful. Enter the numbers from smallest to largest, separated by commas.

  1. Arrange in ascending order: 0.3, 0.25, 0.35

    View hint and full working

    Hint: Write 0.3 as 0.30. Then compare 25, 30 and 35 hundredths.

    Working
    Use 2 decimal places: 0.30, 0.25, 0.35
    Compare from left to right: 0.25 < 0.30 < 0.35
    Ascending order: 0.25, 0.3, 0.35
    Answer: 0.25, 0.3, 0.35

  2. Arrange in ascending order: 1.2, 1.15, 1.25

    View hint and full working

    Hint: Write 1.2 as 1.20, then compare the hundredths.

    Working
    Use 2 decimal places: 1.20, 1.15, 1.25
    Compare from left to right: 1.15 < 1.20 < 1.25
    Ascending order: 1.15, 1.2, 1.25
    Answer: 1.15, 1.2, 1.25

  3. Arrange in ascending order: 0.4, 0.45, 0.5

    View hint and full working

    Hint: Write the numbers as 0.40, 0.45 and 0.50.

    Working
    Use 2 decimal places: 0.40, 0.45, 0.50
    Compare from left to right: 0.40 < 0.45 < 0.50
    Ascending order: 0.4, 0.45, 0.5
    Answer: 0.4, 0.45, 0.5

  4. Arrange in ascending order: 0.8, 0.75, 0.7

    View hint and full working

    Hint: Write the numbers as 0.80, 0.75 and 0.70.

    Working
    Use 2 decimal places: 0.80, 0.75, 0.70
    Compare from left to right: 0.70 < 0.75 < 0.80
    Ascending order: 0.7, 0.75, 0.8
    Answer: 0.7, 0.75, 0.8

  5. Arrange in ascending order: 0.1, 0.05, 0.15

    View hint and full working

    Hint: Write 0.1 as 0.10, then compare the hundredths.

    Working
    Use 2 decimal places: 0.10, 0.05, 0.15
    Compare from left to right: 0.05 < 0.10 < 0.15
    Ascending order: 0.05, 0.1, 0.15
    Answer: 0.05, 0.1, 0.15

  6. Arrange in ascending order: 2.1, 2.01, 2.11

    View hint and full working

    Hint: The whole-number parts are equal, so compare 0.01, 0.10 and 0.11.

    Working
    Use 2 decimal places: 2.10, 2.01, 2.11
    Compare from left to right: 2.01 < 2.10 < 2.11
    Ascending order: 2.01, 2.1, 2.11
    Answer: 2.01, 2.1, 2.11

  7. Arrange in ascending order: 3.2, 3.25, 3.15

    View hint and full working

    Hint: Write 3.2 as 3.20, then compare the hundredths.

    Working
    Use 2 decimal places: 3.20, 3.25, 3.15
    Compare from left to right: 3.15 < 3.20 < 3.25
    Ascending order: 3.15, 3.2, 3.25
    Answer: 3.15, 3.2, 3.25

  8. Arrange in ascending order: 0.55, 0.5, 0.6

    View hint and full working

    Hint: Write the numbers as 0.55, 0.50 and 0.60.

    Working
    Use 2 decimal places: 0.55, 0.50, 0.60
    Compare from left to right: 0.50 < 0.55 < 0.60
    Ascending order: 0.5, 0.55, 0.6
    Answer: 0.5, 0.55, 0.6

  9. Arrange in ascending order: 1.5, 1.45, 1.55

    View hint and full working

    Hint: Write 1.5 as 1.50, then compare the hundredths.

    Working
    Use 2 decimal places: 1.50, 1.45, 1.55
    Compare from left to right: 1.45 < 1.50 < 1.55
    Ascending order: 1.45, 1.5, 1.55
    Answer: 1.45, 1.5, 1.55

  10. Arrange in ascending order: 0.9, 0.95, 1.0

    View hint and full working

    Hint: 0.9 and 0.95 are less than one whole.

    Working
    Use 2 decimal places: 0.90, 0.95, 1.00
    Compare from left to right: 0.90 < 0.95 < 1.00
    Ascending order: 0.9, 0.95, 1.0
    Answer: 0.9, 0.95, 1.0

Level 2 Ordering Decimals — Medium 10 questions · Hundredths and thousandths 0/10

Tip: Compare digits from left to right. Adding zeros at the end of a decimal does not change its value.

  1. Arrange in ascending order: 0.52, 0.58, 0.55

    View hint and full working

    Hint: The tenths are equal, so compare the hundredths: 2, 5 and 8.

    Working
    Use 2 decimal places: 0.52, 0.58, 0.55
    Compare from left to right: 0.52 < 0.55 < 0.58
    Ascending order: 0.52, 0.55, 0.58
    Answer: 0.52, 0.55, 0.58

  2. Arrange in ascending order: 1.45, 1.435, 1.5

    View hint and full working

    Hint: Write the numbers as 1.450, 1.435 and 1.500.

    Working
    Use 3 decimal places: 1.450, 1.435, 1.500
    Compare from left to right: 1.435 < 1.450 < 1.500
    Ascending order: 1.435, 1.45, 1.5
    Answer: 1.435, 1.45, 1.5

  3. Arrange in ascending order: 0.707, 0.7, 0.77

    View hint and full working

    Hint: Write the numbers as 0.707, 0.700 and 0.770.

    Working
    Use 3 decimal places: 0.707, 0.700, 0.770
    Compare from left to right: 0.700 < 0.707 < 0.770
    Ascending order: 0.7, 0.707, 0.77
    Answer: 0.7, 0.707, 0.77

  4. Arrange in ascending order: 2.125, 2.12, 2.13

    View hint and full working

    Hint: Write the numbers as 2.125, 2.120 and 2.130.

    Working
    Use 3 decimal places: 2.125, 2.120, 2.130
    Compare from left to right: 2.120 < 2.125 < 2.130
    Ascending order: 2.12, 2.125, 2.13
    Answer: 2.12, 2.125, 2.13

  5. Arrange in ascending order: 0.666, 0.66, 0.606

    View hint and full working

    Hint: Write the numbers as 0.666, 0.660 and 0.606.

    Working
    Use 3 decimal places: 0.666, 0.660, 0.606
    Compare from left to right: 0.606 < 0.660 < 0.666
    Ascending order: 0.606, 0.66, 0.666
    Answer: 0.606, 0.66, 0.666

  6. Arrange in ascending order: 1.235, 1.253, 1.225

    View hint and full working

    Hint: Compare the hundredths first, then the thousandths.

    Working
    Use 3 decimal places: 1.235, 1.253, 1.225
    Compare from left to right: 1.225 < 1.235 < 1.253
    Ascending order: 1.225, 1.235, 1.253
    Answer: 1.225, 1.235, 1.253

  7. Arrange in ascending order: 3.005, 3.05, 3.5

    View hint and full working

    Hint: Write the numbers as 3.005, 3.050 and 3.500.

    Working
    Use 3 decimal places: 3.005, 3.050, 3.500
    Compare from left to right: 3.005 < 3.050 < 3.500
    Ascending order: 3.005, 3.05, 3.5
    Answer: 3.005, 3.05, 3.5

  8. Arrange in ascending order: 0.875, 0.85, 0.88

    View hint and full working

    Hint: Write the numbers as 0.875, 0.850 and 0.880.

    Working
    Use 3 decimal places: 0.875, 0.850, 0.880
    Compare from left to right: 0.850 < 0.875 < 0.880
    Ascending order: 0.85, 0.875, 0.88
    Answer: 0.85, 0.875, 0.88

  9. Arrange in ascending order: 4.4, 4.44, 4.444

    View hint and full working

    Hint: Write the numbers as 4.400, 4.440 and 4.444.

    Working
    Use 3 decimal places: 4.400, 4.440, 4.444
    Compare from left to right: 4.400 < 4.440 < 4.444
    Ascending order: 4.4, 4.44, 4.444
    Answer: 4.4, 4.44, 4.444

  10. Arrange in ascending order: 2.222, 2.212, 2.22

    View hint and full working

    Hint: Write 2.22 as 2.220, then compare the thousandths.

    Working
    Use 3 decimal places: 2.222, 2.212, 2.220
    Compare from left to right: 2.212 < 2.220 < 2.222
    Ascending order: 2.212, 2.22, 2.222
    Answer: 2.212, 2.22, 2.222

Level 3 Ordering Decimals — Hard 10 questions · Up to five decimal places 0/10

Tip: Use a place-value table or write every number with the same number of decimal places before comparing.

  1. Arrange in ascending order: 0.0999, 0.1, 0.1001

    View hint and full working

    Hint: Write 0.1 as 0.1000 and compare all four decimal places.

    Working
    Use 4 decimal places: 0.0999, 0.1000, 0.1001
    Compare from left to right: 0.0999 < 0.1000 < 0.1001
    Ascending order: 0.0999, 0.1, 0.1001
    Answer: 0.0999, 0.1, 0.1001

  2. Arrange in ascending order: 0.3333, 0.333, 0.33

    View hint and full working

    Hint: Write the numbers as 0.3333, 0.3330 and 0.3300.

    Working
    Use 4 decimal places: 0.3333, 0.3330, 0.3300
    Compare from left to right: 0.3300 < 0.3330 < 0.3333
    Ascending order: 0.33, 0.333, 0.3333
    Answer: 0.33, 0.333, 0.3333

  3. Arrange in ascending order: 2.019, 2.0099, 2.02

    View hint and full working

    Hint: Write the numbers as 2.0190, 2.0099 and 2.0200.

    Working
    Use 4 decimal places: 2.0190, 2.0099, 2.0200
    Compare from left to right: 2.0099 < 2.0190 < 2.0200
    Ascending order: 2.0099, 2.019, 2.02
    Answer: 2.0099, 2.019, 2.02

  4. Arrange in ascending order: 1.1111, 1.11111, 1.111

    View hint and full working

    Hint: Write the numbers with five decimal places before comparing.

    Working
    Use 5 decimal places: 1.11110, 1.11111, 1.11100
    Compare from left to right: 1.11100 < 1.11110 < 1.11111
    Ascending order: 1.111, 1.1111, 1.11111
    Answer: 1.111, 1.1111, 1.11111

  5. Arrange in ascending order: 5.555, 5.5055, 5.55

    View hint and full working

    Hint: Write the numbers as 5.5550, 5.5055 and 5.5500.

    Working
    Use 4 decimal places: 5.5550, 5.5055, 5.5500
    Compare from left to right: 5.5055 < 5.5500 < 5.5550
    Ascending order: 5.5055, 5.55, 5.555
    Answer: 5.5055, 5.55, 5.555

  6. Arrange in ascending order: 0.2002, 0.202, 0.20002

    View hint and full working

    Hint: Write the numbers as 0.20020, 0.20200 and 0.20002.

    Working
    Use 5 decimal places: 0.20020, 0.20200, 0.20002
    Compare from left to right: 0.20002 < 0.20020 < 0.20200
    Ascending order: 0.20002, 0.2002, 0.202
    Answer: 0.20002, 0.2002, 0.202

  7. Arrange in ascending order: 3.141, 3.1415, 3.1414

    View hint and full working

    Hint: Write 3.141 as 3.1410, then compare the fourth decimal place.

    Working
    Use 4 decimal places: 3.1410, 3.1415, 3.1414
    Compare from left to right: 3.1410 < 3.1414 < 3.1415
    Ascending order: 3.141, 3.1414, 3.1415
    Answer: 3.141, 3.1414, 3.1415

  8. Arrange in ascending order: 0.0009, 0.009, 0.00099

    View hint and full working

    Hint: Write the numbers as 0.00090, 0.00900 and 0.00099.

    Working
    Use 5 decimal places: 0.00090, 0.00900, 0.00099
    Compare from left to right: 0.00090 < 0.00099 < 0.00900
    Ascending order: 0.0009, 0.00099, 0.009
    Answer: 0.0009, 0.00099, 0.009

  9. Arrange in ascending order: 4.0001, 4.00001, 4.001

    View hint and full working

    Hint: Write the numbers as 4.00010, 4.00001 and 4.00100.

    Working
    Use 5 decimal places: 4.00010, 4.00001, 4.00100
    Compare from left to right: 4.00001 < 4.00010 < 4.00100
    Ascending order: 4.00001, 4.0001, 4.001
    Answer: 4.00001, 4.0001, 4.001

  10. Arrange in ascending order: 0.6667, 0.667, 0.66666

    View hint and full working

    Hint: Write the numbers as 0.66670, 0.66700 and 0.66666.

    Working
    Use 5 decimal places: 0.66670, 0.66700, 0.66666
    Compare from left to right: 0.66666 < 0.66670 < 0.66700
    Ascending order: 0.66666, 0.6667, 0.667
    Answer: 0.66666, 0.6667, 0.667

Aditya Jadhav

Aditya Prakash Jadhav, commonly known as Adi, is the founder of Aussie Math Tutor NSW, a private maths tutoring service based in Telopea, NSW. With over 5 years of tutoring experience, he helps students build confidence in maths through patient, step-by-step support aligned with the NSW NESA Mathematics syllabus. He creates student-friendly maths content, practice questions, and learning resources for Years 1–10, including NAPLAN, Selective School and OC preparation. Adi holds postgraduate qualifications in management and marketing, has an IT engineering background, and is also the author of “Study Notes for Management 101,” published by Wiley Publications.
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