Year 5: Friday 22nd May – Decimals, Tenths, Hundredths and Thousandths.

Good Morning Year 5! Today’s decimal challenge involves understanding decimals as intervals. This just means looking at which decimals come in between two whole numbers.

For example, what decimals come between 7 and 8: 7, 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, 7.9, 8.

The above would work with any larger decimal too for example between 80 and 91 etc. Below I have posted a number line of the different decimal intervals to support you between whole numbers.

Math Tip of the Day: Decimals on Number Line

Starter Task: Read the question carefully, think about your place value columns! Remember the largest decimals have the greatest whole numbers!

Independent Task: Like the above, you need to create decimals using the 4 digits they have given you below for each question. Your decimals you create also need to fit the rule and statement they are providing for you.

For example ‘create a decimal between the numbers 27 – 29 using the digits 7, 2, 8, 2’. Your decimals will have a tens, ones, tenths and hundredths column (2dp). Good luck!

Reasoning Challenge: Answer below on the blog and explain why.

82 thoughts on “Year 5: Friday 22nd May – Decimals, Tenths, Hundredths and Thousandths.

  1. All of them are right . Annie just did 50/1000 which is right as that is 0.504 without any changes. Alex just did 3/10+2/10=5/10 then she added 5/10+4/1000=504/1000. And then Teddy did 5/10+ 4/1000 which is 504/1000. So from that is shows that all of them were right. They all just did different methods.

  2. Starter Task:
    The largest 3 decimal place number Ben can make is 7.320
    The smallest 3 decimal place number Ben can make is 0.237
    Independent Task:
    1. 24.69
    2. 30.15
    3. 53.78
    4. 16.23
    5. 98.04
    6. 62.53
    7. 44.57
    8. 72.47
    9. 82.89
    10. 75.03, 75.30, 70.50, 70.53, 70.35, 30.75, 30.57, 35.07, 37.05, 37.50, 57.30, 53.07, 53.70, 57.03
    11. 83.12
    12. 12.38

  3. Reasoning challenge!!
    Annie and also Teddy are correct. This is because They are showing the number ‘0.504 ‘ in different ways but their answer is still correct

  4. Maths home learning

    Starter task:

    Largest: 7.320, 7.302, 7.230
    Smallest: 0.237

    Decimal place value challenge

    1) between 23 and 25 = 24.69
    2) between 29 and 31 = 30.15
    3) between 52 and 54 = 53.78
    4) between 15 and 16 = 16.13
    5) between 97 and 99 = 98.40
    6) between 61 and 63 = 62.35
    7) between 43 and 45 = 44.57
    8) between 71 and 73 = 72.47
    9) between 81 and 83 = 82.89
    10) 30.57, 30.75, 35.07, 35.70, 50.73, 50.37, 73.50, 73.05
    11) 83.21
    12) 12.38

    Challenge
    I think all the children answer are right. They have used different method to get the answer 0.504. Annie has used the fraction method, while Alex and teddy have breaking the sum down into segments and got there answer.

    • Reasoning challenge:

      Annie is right as if you do 0.504 multiplied by 10 you get 504 so it will be 504/1000 so Annie is right .

      Alex is also right as 3/10 plus 2/10 plus 4/1000 is also correct as the 3 plus 4 makes the 5 tenths and the 4/1000 makes the 4 thousandths.

      Teddy is also right as he did 5/10 plus 4/1000. So you have the 5 as the tenths and the 4 as the thousandths .

  5. Starter task:

    The largest number benny can make with three decimal places is 7.320.
    The smallest number benny can make with three decimal places is 0.237

    Independent task:

    1. 24.69
    2. 30.15
    3. 53.78
    4. 17.23
    5. 94.80
    6. 62.53
    7. 44.57
    8. 72.47
    9. 82.89
    10. 75.03 ,03.75, 57.30, 57.03 ,75.30,30.75, 30.57
    11. 81.32
    12. 23.81

  6. Annie is correct because she has the fraction 504/1000 and the highest number after decimal place is the thousandths which means that Annie is correct and not the others.

  7. I did all the tasks in my homework book.
    Reasoning Challenge:
    All the children are correct. The only difference is that Annie has represented the decimal by making her number into a fraction and the others have represented it as an equation of fractions.

  8. Bronze:
    A) 0.237
    B) 73.02
    Silver:
    1. The answer is 24.69
    2. The answer is 30.15
    3.The answer is 53.78
    4.The answer is 16.23
    5. The answer is 98.04
    6.The answer is 62.35
    7. The answer is 44.57
    8. Is 72.47
    9. Is 82.89
    10. 7,5,0,3-07.35,73.05,75.03,57.30
    11. 81.23,32.18,21.38,12.83,83.21
    12. 112.38,01.35,8.490

    Reasoning challenge:
    Teddy and Annie are correct because they are only showing the number 0.504 in a different way which means its technically the right answer.

  9. ‘Starter task’
    which is the smallest and biggest decimal number Ben can make out of the digits 3,2,7 and 0.
    The largest decimal number Ben can make is 732.0 and the smallest decimal number Ben can make is 0.237.
    ‘decimal place value challenge’
    Number one is 24.96.
    Number two is 30.51.
    Number three is 53.87.
    Number four is16.32
    Number five is 98.40
    Number six is 62.35
    Number seven is 44.57
    Number eight is 72.42
    Number nine is 82.89

  10. The largest number Benny can make is 7.320.
    The smallest decimal is 0.237.

    Silver:
    24.96
    30.51
    53.87
    16.23
    98.04
    62.35
    44.57
    72.47
    82.69
    75.30
    75.03
    57.30
    57.03
    53.70
    53.70
    35.07
    35.70
    70.53
    70.35
    50.73
    50.37
    30.57
    30.75
    73.05
    73.50
    37.05
    37.50
    83.12

    • Great work Sarina, make sure you complete the challenge too. Share your reasoning to the challenge on the blog. Please go to the blogs I have set for you this week and make sure that they too are completed. Thank you Sarina:)

  11. I have done this in my homework book and I found this easy .
    Reasoning challenge :
    I think Annie is correct because 0.504 into a fraction would be 504/1000.

  12. The largest number Ben can make is 732.0
    And the smallest is 0.237
    Silver:
    24.96
    30.51
    53.87
    16.23
    98.04
    62.35
    44.57
    72.47
    82.69
    75.30
    75.03
    57.30
    57.03
    53.70
    53.70
    35.07
    35.70
    70.53
    70.35
    50.73
    50.37
    30.57
    30.75
    73.05
    73.50
    37.05
    37.50
    83.12
    12.83
    Gold
    Annie is right because she didn’t have to do allot of moving digits therefore she Is correct.

  13. 1. Tje smallest number he can make is 0.237
    1. The largest number that Ben can make is 7.320
    1. 24.96
    2. 30.51
    3. 53.87
    4. 16.32
    5. 98.40
    6. 62.53
    7. 44.75
    8. 72.74
    9. 82.98
    10. 7.5,5.7,5.0,0.5,0.3,3.0,3.7,7.3,5.3,3.5 there are lots more.

  14. BRONZE:
    a.0.237
    b.73.02
    SILVER:
    1)24.69
    2)30.15
    3)53.78
    4)16.23
    5)98.04
    6)62.35
    7)44.57
    8)72.47
    9)82.89
    10)7,5,0,3-07.35,73.05,75.03,57.30
    11)81.23,32.18,21.38,12.83,83.21
    12)112.38,01.35,8.490
    Reasoning Challenge:
    I agree with Annie because 0.504=504/1000 also 4 is in the thousandths column so 0.504=504/1000.

  15. The largest number Ben can make is 732.0
    And the smallest is 0.237
    Silver:
    24.96
    30.51
    53.87
    16.23
    98.04
    62.35
    44.57
    72.47
    82.69
    75.30
    75.03
    57.30
    57.03
    53.70
    53.70
    35.07
    35.70
    70.53
    70.35
    50.73
    50.37
    30.57
    30.75
    73.05
    73.50
    37.05
    37.50
    83.12
    12.83
    Gold
    Annie is right because she didn’t have to do allot of moving digits therefore she Is correct.

  16. The largest decimal Benny can make is 7.320.
    The smallest decimal is 0.237.

    24.96
    30.51
    53.87
    16.32
    98.40
    62.53
    44.75
    72.74
    82.96
    75.03
    75.30
    57.03
    57.30
    53.70
    53.07
    35.70
    35.07
    70.35
    70.53
    50.37
    50.73
    30.75
    30.57
    73.50
    73.50
    37.50
    37.05
    83.21
    12.38
    Annie is correct because she didn’t write anything that required working out.

    • Well done for giving this a go Aaron. However, you have not explained your reasoning. You could explain in detail how you know that Annie is right. Also, be careful with your spelling of ‘thousands’.

  17. They are all correct but Annie has recorded it as a fraction and Alex and Teddy have partitioned it differently. The only thing they did was changing the way they worked it out.

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