Year 5: Monday 18th 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 be able to convert decimals (1d.p, 2d.p and 3d.p) into fractions

Remember you can convert fractions to decimals AND decimals back into fractions.

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).

Decimal Place Value Poster HTU. Tenths, Hundredths, Thousandths ...

Please watch the video below because it will consolidate learning. Also, it will go through how to convert decimals into mixed number fractions!

Independent Task: Your job is to practice converting between decimals and fractions. Now, whether they are fractions over 10, 100 or 1000 depends on if the digit falls into the ‘tenths’ ‘hundredths’ ‘thousandths’ column.

Draw the place value chart out just as they have in the sheet below and input the decimals to convert them into fractions.

Remember the decimal point does not move!

Plenary Challenge:

How would you convert 5.3 into a fraction? Answer below on the blog

90 thoughts on “Year 5: Monday 18th May – Decimals: Tenths, Hundredths, Thousandths

  1. I would convert 5.3 into a fraction by using 5 as my whole and 3/10 as my fraction . Together the number will be : 5 wholes and 3 tenths . I have done the tasks in my homework book and I found this really easy.

  2. Bronze:
    PART 1
    1)0.7=7/10
    2)0.3=3/10
    3)0.2=2/10
    4)0.4=4/10
    5)0.1=1/10
    6)0.9=9/10
    7)0.8=8/10
    PART 2
    1)0.73=73/100
    2)0.20=20/100
    3)0.46=46/100
    4)0.04=4/100
    5)0.42=42/100
    6)0.66=66/100
    7)0.99=99/100
    PART 3
    0.007=7/1000

  3. 1. 0.34=34/100
    2. 0.344=344/1000
    3. 0.674=647/1000
    4. 0.631=631/1000
    5. 0.64=64/100
    6. 0.9=9/10
    7. 0.16=16/100
    8. 0.315=315/1000
    9. 0.5=5/10
    10. 0.927=927/1000
    you could convert 5.3 into a fraction by making it a mixed number so the answer would be 5 wholes 3/10

  4. 0.7=7/10
    0.3=3/10
    0.2=2/10
    0.4=4/10
    0.1=1/10
    0.9=9/10
    0.8=8/10
    B)
    0.20=20/100
    0.46=46/100
    0.04=4/100
    0.42=42/100
    0.66=66/100
    0.99=99/100
    C)7/1000
    0.34=34/100
    0.344=344/1000
    0.674=674/1000
    0.631=631/1000
    0.64=64/100
    0.9=9/10
    0.16=16/100
    0.315=315/1000
    0.5=5/10
    0.927=927/1000
    5.3=53/10

  5. 1)0.34 is equal to 34/100.

    2)0.344 is equal to 344/1000.

    3)0.674 is equal to 647/1000

    4)0.631 is equal to 631/1000.

    5)0.64 is equal to 64/100.

    6)0.9 is equal to 9/10.

    7)0.16 is equal to 16/100.

    8)0.315 is equal to 315/1000.

    9)0.5 is equal to 5/10.

    10)0.927 is equal to 927/1000.

  6. 0.34 = 34/100
    0.344 = 344/1000
    0.674 = 674/1000
    0.631 = 631/1000
    0.64 = 64/100
    0.9 = 9/10
    0.16 =16/100
    0.315 = 315/1000
    0.5 = 5/10
    0.927 = 927/1000
    Challenge:
    How would you convert 5.3 into a fraction?
    To convert 5.3 into a fraction you need to turn it into a mixed number, than turn the mixed number into a fraction which is 3 5/10 or 35/10

  7. I have done all of the tasks.
    Challenge
    To turn 5.3 into a fraction you can put it as 53/10 because the 3 is the number in the tenths column and the final number is the denominator for example. 0.321 as a fraction that would be 321/1000.

  8. Challenge!
    To convert 5.3 into a fraction you need to put the answer as 5/3 . Then you convert it into.A mixed number and then make sure ten is your denominator! I understood the challenge 😀😀

  9. I have done one of the tasks because when I tried to print it out there was low ink on the printer.

    Plenary:
    5.3 as a fraction would be 5 and 3 tenths.

  10. Maths homework

    A)
    0.7 = 0 ones . 7 tenths = 7 tenths 7/10
    0.3 = 0 ones . 3 tenths = 3 tenths 3/10
    0.2 = 0 ones . 2 tenths = 2 tenths 2/10
    0.4 = 0 ones . 4 tenths = 4 tenths 4/10
    0.1 = 0 ones . 1 tenths = 1 tenth 1/10
    0.9 = 0 ones . 9 tenths = 9 tenths 9/10
    0.8 = 0 ones . 8 tenths = 8 tenths 8/10

    B)
    0.73 = 0 ones, 7 tenths, 3 hundredths = 73 hundredths 73/100
    0.20 = 0 ones, 0 tenths, 2 hundredths = 2 hundredths 20/100
    0.46 = 0 ones, 4 tenths, 6 hundredths = 46 hundredths 46/100
    0.04 = 0 ones, 0 tenths, 4 hundredths = 4 hundredths 4/100
    0.42 = 0 ones, 4 tenths, 2 hundredths = 42 hundredths 42/100
    0.66 = 0 ones, 6 tenths, 6 hundredths = 66 hundredths 66/100
    0.99 = 0 ones, 9 tenths, 9 hundredths = 99 hundredths 99/100

    C) 0.007 = 7/1000

    D)
    a – 0.34 = 34/100
    b – 0.344 = 344/1000
    c – 674 = 674/1000
    d – 631 = 631/1000
    e – 0.64 = 64/100
    f – 0.9 = 9/10
    g – 0.16 = 16/100
    h – 0.315 = 315/1000
    I – 0.5 = 5/10
    j – 0.927 = 927/1000

    Plenary challenge

    To convert 5.3 into an fraction, you need to write 5.3 an numerator and put 1 as an denominator, now multiple numerator and denominator by 10, as long you get number as whole.

    5.3 x 1
    5.3 x 10 = 53
    1 x 10 = 10

    As an fraction it’s 53/10

    • How does the 5 wholes become 1 whole? The answer should be: 5 wholes and 3/10.
      If that’s the answer for that one what is 2.4 as a mixed number fraction?

  11. I did all the tasks and I found it easy.
    How would you convert 5.3 into a fraction?
    I would convert 5.3 into a fraction by putting the integer as the whole and I would put the tenthon top of the vinculum and the number 10. I would get 5 3/10.

  12. 1) 0.3 = 0 ones and 3 tenths = 3/10
    zero point two = 0 ones and 2 tenths = 2/10
    2) 0.4 = 0 ones and 4 tenths = 4/10
    3) 0.1 = 0 ones and 1 tenth = 1/10
    4)0.9 = 0 ones and 9 tenths = 9/10
    zero point eight = 0 ones and 8 tenths = 8/10

    5) 0.20 = 0 ones, 2 tenths and 0 hundredths
    zero point four six = 0 ones, 4 tenths and six hundredths
    nought point nought 4 = 0 ones, 0 tenths and 4 hundredths
    6) 0.42 = 0 ones, 4 tenths and 2 hundredths
    7) 0.66 = 0 ones, 6 tenths and 6 hundredths
    8) 0.99 = 0 ones, 9 tenths and 9 hundredths
    9) 0.007 as a fraction is 7/1000

    10) 0.34 = 34/100
    11) 0.344 = 344/1000
    12) 0.674 = 674/1000
    13)0.631 = 631/1000
    14) 0.64 = 64/100
    15)0.9 = 9/10
    16) 0.16 = 16/100
    17) 0.315 = 315/1000
    18) 0.5 = 5/10
    19) 0.927 = 927/1000

    5.3 as a fraction could possibly be 5 3/10.

    • Nehemia, nice try. But have another go. This would make an improper fraction. Think about how many whole numbers you have and then which column 0.3 is in the place value chart.

  13. 1. 0.34 = 17/50
    2. 0.344 = 43/125
    3. 0.674 = 337/500
    4. 0.631= 631/1000
    5. 0.64 = 16/25
    6. 0.9 = 9/10
    7. 0.16 = 4/25
    8. 0.315 = 63/200
    9. 0.5 = 1/5
    10. 0.927 = 927/1000
    Done

    • Reyan, I have had this conversation with you on Friday about copying. I am not impressed. Please can you do it in your homework book and have it emailed to us.

    • Well done Nehemia, can you please make sure you write the question out? Please have a go at completing task a and b and also complete Mrs Habib’s GD blog?

  14. I have completed this task in my homework book. To turn 5.3 into a fraction you can just do 53/10 because the 3 is in the tenths column and the last number has to be the denominator for example. 0.321 as a fraction that would be 321/1000.

    • Hi Shivani, a good try! But think about how many wholes you have, this would be the whole of your fraction, then think about what column 0.3 is in! What would this be as a fraction (Hint your answer needs to be in a mixed number format)

  15. 1. 0.34 = 17/50
    2. 0.344 = 43/125
    3. 0.674 = 337/500
    4. 0.631= 631/1000
    5. 0.64 = 16/25
    6. 0.9 = 9/10
    7. 0.16 = 4/25
    8. 0.315 = 63/200
    9. 0.5 = 1/5
    10. 0.927 = 927/1000

    • Harun, well done! I can see you have really understood fractions and decimals with the simplifying you have shown. Some of these have been simplified multiple times, so brilliant!

  16. Bronze:
    PART 1
    1)0.7=7/10
    2)0.3=3/10
    3)0.2=2/10
    4)0.4=4/10
    5)0.1=1/10
    6)0.9=9/10
    7)0.8=8/10
    PART 2
    1)0.73=73/100
    2)0.20=20/100
    3)0.46=46/100
    4)0.04=4/100
    5)0.42=42/100
    6)0.66=66/100
    7)0.99=99/100
    PART 3
    0.007=7/1000
    PART 4
    1)0.34=34/100
    2)0.344=344/1000
    3)0.674=674/1000
    4)0.631=631/1000
    5)0.64=64/100
    6)0.9=9/10
    7)0.16=16/100
    8)0.315=315/1000
    9)0.5=5/10
    10)0.927=927/1000
    Plenary:
    5.3=5 3/10

  17. 0.3 = 0 ones and 3 tenths = 3/10
    zero point two = 0 ones and 2 tenths = 2/10
    0.4 = 0 ones and 4 tenths = 4/10
    0.1 = 0 ones and 1 tenth = 1/10
    0.9 = 0 ones and 9 tenths = 9/10
    zero point eight = 0 ones and 8 tenths = 8/10

    0.20 = 0 ones, 2 tenths and 0 hundredths
    zero point four six = 0 ones, 4 tenths and six hundredths
    nought point nought 4 = 0 ones, 0 tenths and 4 hundredths
    0.42 = 0 ones, 4 tenths and 2 hundredths
    0.66 = 0 ones, 6 tenths and 6 hundredths
    0.99 = 0 ones, 9 tenths and 9 hundredths
    0.007 as a fraction is 7/1000

    0.34 = 34/100
    0.344 = 344/1000
    0.674 = 674/1000
    0.631 = 631/1000
    0.64 = 64/100
    0.9 = 9/10
    0.16 = 16/100
    0.315 = 315/1000
    0.5 = 5/10
    0.927 = 927/1000

    5.3 as a fraction could be 5 3/10.

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