Year 5: Wednesday 20th May – Decimals: Tenths, Hundredths, Thousandths

Good Morning Year 5! Today’s Maths will be based on the following success criteria:

  • To be able to convert decimals into fractions
  • To represent fractions and decimals pictorially

As you can see in the image below, if your decimal has a digit in the ‘tenths’ column the fraction will be /10. (Random Example: 0.4 as a fraction will be 4/10 because the digit ‘4’ is in the tenths column).

If your decimal has a digit in the ‘hundredths’ column the fraction will be /100. (Random Example: 0.03 as a fraction will be 3/100 because the digit ‘3’ would appear in the hundredths column).

Finally, if your decimal has a digit in the ‘thousandths’ column the fraction will be /1000. (Random Example: 0.006 as a fraction would be 6/1000 because the digit ‘6’ would appear in the thousandths column).

It is very easy to convert decimals into fractions when they are ‘0.0 something’. Just like you have been doing for days! But what do you when you do not have a 0 in the ones column? and the ones column has a digit e.g. 7.2? Watch below :)

This video explains how to convert decimals such as ‘5.3 into a mixed number fraction’ – Please watch this as this is what we are moving on towards :)

Example: 5.3 as a fraction is 5 wholes and 3/10 (a mixed number). This is because if you look at the value of the ‘5’ it is in the ones column, is it a whole! the remaining ‘0.3’ still fits into the ‘tenths’ column so as a fraction this would ‘3/10’. When you combine them together you get 5 and 3/10.

Example 2: 6.14 as a fraction would be 6 and 14/100 (a mixed number). This is the still the same as the above, the only difference is you now have a hundreds column, so the fraction is out of 100 instead of 10. 6 is your whole and 0.14 goes into the ‘tenths’ and ‘hundredths’ – therefore this becomes 6 wholes and 14/100.

Converting between Percents, Decimals, and Fractions - KATE'S MATH ...

Basic Math Facts - Decimal Mixed Number by Tony Chang | TpT

If you do not understand the above watch the video from 2 mins 38 seconds :)

Starter Task:

Task 2: Use the information in the table below to fill in the gaps. You need to convert either from a fraction to a decimal, or the other way around!

If you are struggling please look at the video and images above, or ask for support!

Challenge: Please post your answers down below :)

100 thoughts on “Year 5: Wednesday 20th May – Decimals: Tenths, Hundredths, Thousandths

  1. Starter task
    A. 73/100=0.73
    B. 11/100=0.11
    C. 73/100=0.73
    Task 2
    3 84/100=3.84
    5 36/100=5.36
    6 12/100=6.12
    1 9/100=0.19
    5 82/100=5.82
    2 91/100=2.91
    7 83/100=7.83
    4 70/100=4.70
    10 1/100=10.01
    7 28/100=7.28
    4 6/100=0.46
    3 87/100=3.87
    2 46/100=2.46

  2. Task 1:
    A = 73/100
    B = 11/100
    C = 73/100
    The odd one out is B because A and C are both 73 except for B which is 11.
    Task 2:
    3 84/100 = 3.84
    5 36/100 = 5.36
    6 12/100 = 6.12
    1 9/100 = 1.09
    5 82/100 = 5.82
    3 47/100 = 3.47
    2 91/100 = 2.91
    7 83/100 7.83
    4 70/100 = 4.7
    10 1/100 = 10.01
    7 28/100 = 7.28
    4 6/100 = 4.06
    3 87/100 = 3.87
    2 46/100 = 2.46
    7 71/100 = 7.71
    6 66/100 = 6.66
    9 99/100 = 9.99
    Challenge:
    30.45 = 30 45/100
    40.35 = 40 35/100
    30.54 = 30 54/100
    40.53 = 40 53/100
    50.43 = 50 43/100
    50.34 = 50 34/100
    In words:
    Thirty point forty five,
    Forty point thirty five,
    Fifty point thirty four

  3. 1. 73/100
    2. 92/100
    3. 73/100
    Task 2
    1. 3.84
    2. 5 36/100
    3. 6.12
    4. 1.9
    5. 5 82/100
    6. 3 47/100
    7. 2.91
    8. 7 83/100
    9. 4.70
    10. 10 1/100

  4. I have done the tasks
    Challenge:
    30.45
    40.35
    50.34
    30.54
    40.53
    50.43
    Decimal numbers as mixed numbers=
    30.45= 30 45/100,
    40.35= 40 35/100,
    50.34= 50 34/100,
    30.54= 30 54/100,
    40.53= 40 53/100 and
    50.43= 50 43/100.
    Decimals in words=
    30.45= Thirty point four five,
    40.35= Forty point three five,
    50.34= Fifty point three four,
    30.54= Thirty point five four,
    40.53= Forty point five three and
    50.43= Fifty point four three.

  5. Maths home learning

    Task 1)
    a – 73/100
    b – 92/100
    c – 73/100

    The odd one out is letter b, because letter a and c both are 73/100.

    Task 2)
    Fraction = 3 84/100 decimal = 3.84
    Fraction = 5 36/100 decimal = 5.36
    Fraction = 6 12/100 decimal = 6.12
    Fraction = 1 9/100 decimal = 1.09
    Fraction = 5 82/100 decimal = 5.82
    Fraction = 3 47/100 decimal = 3.47
    Fraction = 2 91/100 decimal = 2.91
    Fraction = 7 83/100 decimal = 7.83
    Fraction = 4 70/100 decimal = 4.70
    Fraction = 10 1/100 decimal = 10.01
    Fraction = 7 28/100 decimal = 7.28
    Fraction = 4 6/100 decimal = 4.06
    Fraction = 3 87/100 decimal = 3.87
    Fraction = 2 46/100 decimal = 2.46
    Fraction = 7 71/100 decimal = 7.71
    Fraction = 6 66/100 decimal = 6.66
    Fraction = 9 99/100 decimal = 9.99

    Challenge

    30.45
    30.54
    40.35
    40.53
    50.34
    50.43

    Mixed number fraction

    40 35/100
    30 45/100
    30 54/100
    50 34/100
    40 53/100
    50 43/100

    In words

    forty point three, five.
    Thirty point five, four.
    Fifty point four, three.

  6. I did all the tasks and I found them easy.
    Challenge:
    numbers: 30.45, 30.54, 40.35, 40.53, 50.34, 50.43.
    mixed Numbers:
    30.45= 30 45/100
    30.54= 30 54/100
    40.35= 40 35/100
    40.53= 40 53/100
    50.34= 50 34/100
    50.43= 50 43/100
    WORDS:
    30.45= thirty point four five.
    40.35= fourty point four five.
    50.34= fifty point three four.

  7. Bronze:
    A)73/100
    B)11/100
    C)73/100
    Silver:
    1)3.84
    2)5 36/100
    3)6.12
    4)1.9
    5)5 82/100
    6)3 47/100
    7)2.91
    8)7 83/100
    9)4.70
    10)10 1/100
    11)7.28
    12)4.6
    13)3 87/100
    14)2 46/100
    15)7.71
    16)6 66/100
    17)9.99
    Challenge:
    30.45=30 45/100
    40.53=40 53/100
    50.34=60 34/100
    Thirty point fourty five
    Fourty point fifty three
    Fifty point thirty four

  8. 9/100 starter task
    10/100
    Task2
    3.84
    5 36/100
    6.12
    1.9
    5 82/100
    3 47/100
    2.91
    7 83/100
    4.70
    10 01/100
    7.28
    4.6
    3 87/100
    2 46/100on
    Challenge!:
    30.54
    40.35
    50.34 :-)
    I felt confident in the task. I did it independently

  9. 3.45,3.54,4.35,4.53.5.34,5.43
    3 9/20
    3 54/100
    4 7/20
    4 53/100
    5 34/100
    5 43/100
    three point forty-five
    three point fifty- four
    four point thirty five

    • Well done Nehemia, please be clear about which questions you are answering. It maybe easier to do this in your homework book and email it over. I can see you have simplified some fractions.

  10. ‘Starter task’
    1) I think the fraction shown in the grid is 73/100 and this fraction converted to a decimal is 0.73.
    2) I think the fraction represented in the grid is 11/100 this is because 9/100 in the grid is showing that it needs to be added up with 2/100 which will give you 11/100 and this fraction converted into a decimal is 0.11.
    3) I think the fraction trying to be shown in the grid is 73/100 because 7/10 add 3/100 equals 73/100 and this fraction converted into a fraction is 0.73.
    ‘Task 2’
    1) (fraction) 3 wholes and 84/100 (decimal) 3.84
    2) (fraction) 5 wholes and 36/100 (decimal) 5.36
    3) (fraction) 6 wholes and 12/100 (decimal) 6.12
    4) (fraction) 1 whole and 9/100 (decimal) 1.09
    5) (fraction) 5 wholes and 82/100 (decimal) 5.82
    6) (fraction) 3 wholes and 47/100 (decimal) 3.47
    7) (fraction) 2 wholes and 91/100 (decimal) 2.91
    8) (fraction) 7 wholes and 83/100 (decimal) 7.83
    9) (fraction) 4 wholes and 70/100 (decimal) 4.70
    10) (fraction) 10 wholes and 1/100 (decimal) 10.01
    11) (fraction) 7 wholes and 28/100 (decimal) 7.28
    12) (fraction) 4 wholes and 6/100 (decimal) 4.06
    13) (fraction) 3 wholes and 87/100 (decimal) 3.87
    14) (fraction) 2 wholes and 46/100 (decimal) 2.46
    15) (fraction) 7 wholes and 71/100 (decimal) 7.71
    16) (fraction) 6 wholes and 66/100 (decimal) 6.66
    17) (fraction) 9 wholes and 99/100 (decimal) 9.99
    ‘Challenge’
    use the digits 3,4 and 5 and make as many decimal numbers as you can.
    3.45, 3.54, 4.35, 4.53, 5.43, 5.34
    Get 3 numbers and write them as words.
    1) 3.45: 5 hundredths, 4 tenths and 3 units.
    2) 3.54: 4 hundredths, 5 tenths and 3 units.
    3)4.35: 5 hundredths, 3 tenths and 4 units.

    • Well done Musa, with the challenge if the number is before the decimal point it is in the ones column. The number displayed is _0._ _. So using the numbers 3,4,5 make as many numbers leaving the 0 in the ones column. Example – 30.45 – 3 tens, 0 ones, 4 tenths and 5 hundredths. Have a look at this again.

      • 30.45-30 wholes and 45/100
        30.54-30 wholes and 54/100
        50.34-50 wholes and 34/100
        50.43-50 wholes and 43/100
        40.53-40 wholes and 53/100
        40.35-40 wholes and 35/100

  11. Starter task 73/100
    9/100
    10/100
    Task2
    3.84
    5 36/100
    6.12
    1.9
    5 82/100
    3 47/100
    2.91
    7 83/100
    4.70
    10 01/100
    7.28
    4.6
    3 87/100
    2 46/100
    7.71
    6 66/100
    9.99
    Challenge
    30.54=30 54/100
    40.35= 40 35/100
    50.34=50 35/100
    Thirty point five four
    Forty point three five
    Fifty point three four

  12. Bronze:
    A)73/100
    B)11/100
    C)73/100
    Silver:
    1. 3.84
    2. 5 36/100
    3. 6.12
    4.1.9
    5. 5 82/100
    6. 3 47/100
    7. 2.91
    8. 7 83/100
    9. 4.70
    10.10 1/100
    11. 7.28
    12. 4.6
    13. 3 87/100
    14. 2 46/100
    15. 7.71
    16. 6 66/100
    17. 9.99

    :}

  13. A = 73/100
    B = 11/100
    C = 73/100
    B is the fraction that is the odd one out.

    3 84/100 = 3.84
    5 36/100 = 5.36
    6 12/100 = 6.12
    1 9/100 = 1.09
    5 82/100 = 5.82
    3 47/100 = 3.47
    2 91/100 = 2.91
    7 83/100 = 7.83
    4 70/100 = 4.7
    10 1/100 = 10.01
    7 28/100 = 7.28
    4 6/100 = 4.06
    3 87/100 = 3.87
    2 46/100 = 2.46
    7 71/100 = 7.71
    6 66/100 = 6.66
    9 99/100 = 9.99

    30.45 = thirty point four five = 30 45/100
    30.54 = 30 54/100
    50.43 = fifty point four three = 50 43/100
    50.34 = 50 34/100
    40.35 = forty three five = 40 35/100
    40.53 = 40 53/100

    • Reyan, I am not happy to see you have copied answers again after several reminders not to do so. The answers are not quite right and some should be in fractions hence the reason you should not copy.

  14. Starter task
    A. 73/100=0.73
    B. 11/100=0.11
    C. 73/100=0.73

    Task 2
    3 84/100=3.84
    5 36/100=5.36
    6 12/100=6.12
    1 9/100=0.19
    5 82/100=5.82
    2 91/100=2.91
    7 83/100=7.83
    4 70/100=4.70
    10 1/100=10.01
    7 28/100=7.28
    4 6/100=0.46
    3 87/100=3.87
    2 46/100=2.46
    7 71/100=7.71
    6 66/100=6.66
    9 99/100=9.99

  15. Bronze:
    A)73/100
    B)11/100
    C)73/100
    Silver:
    1)3.84
    2)5 36/100
    3)6.12
    4)1.9
    5)5 82/100
    6)3 47/100
    7)2.91
    8)7 83/100
    9)4.70
    10)10 1/100
    11)7.28
    12)4.6
    13)3 87/100
    14)2 46/100
    15)7.71
    16)6 66/100
    17)9.99
    Challenge:
    30.45=30 45/100
    40.53=40 53/100
    50.34=60 34/100
    Thirty point fourty five
    Fourty point fifty three
    Fifty point thirty four

    • Lovely stuff Luqman. But, the 0 is in the Ones column, and that shouldn’t change. But you have changed its place in some of the numbers you’ve suggested. Which means you have messed with the natural order of things. Which means I need to keep an eye out for stars colliding and flying pigs and I have enough to worry about with William running around with a lightsaber screaming about Elsa from Frozen and Eeyore- no idea why he’s screaming about those things but perhaps it’s already started. He knows you moved the 0 when you shouldn’t have!

    • Good effort Cara, well done!
      Just make sure to clearly show which questions you have answered.
      Nice to see you having a go at this. Keep up the good work.

    • Aiva good to see you having a go at solving above problems, but I am finding it difficult to work out which questions you have answered. If you have answered fill in the gap questions, some answered should be in fractions.

    • Double check your answers Ryan.There is a digit missing in the tens, hundredths and thousandths column. Please email your completed worked over to us. Have you attempted all the challenges?

    • Excellent! Good effort Ryan. Please respond to all blogs.
      I have seen the work you have been sending in and it is amazing. You should be really proud. Keep working hard. Big well done to you :)

    • Double check your answers Callum. Look at the questions again is missing a digit in the tenths, hundredths and thousandths column. Email your completed work in. Thank you.

    • Haniah, head over to my blog and try the questions on there. There are about 5 in total. If you need help, then let me know on the blog. See you on there!

    • Again Aaron, I am not sure about this. This blog was posted slightly after 9, so it is highly unlikely that you completed all 3 tasks in the space of 5 minutes. However, if you wish to prove me wrong (which would be great) please email me your work.

    • Aaron, all tasks need to be completed to your best standard please.
      I expect this to be emailed to us, as I would like to see your work.
      I would appreciate you taking your time and putting in your best effort, as we are doing the best we can for you also. Let me know how you get on with the tasks and ask for help if needed.
      Remember… email your work! Thank you.

  16. Challenge:
    1. 0.543 as a fraction is 543⁄1000
    2. 0.354 as a fraction is 354⁄1000
    3. 0.345 as a fraction is 345⁄1000
    4. 0.453 as a fraction is 453⁄1000
    5. 0.435 as a fraction is 435⁄100

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