# 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.

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. Aboubakar Y.

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. Ryan I.

Picture sent

3. Ryan I.

Sorry I did my maths but I forgot to send it on the email

4. Aamir K.

All of them are correct because it is just different ways of making it.
One made it as a fraction and the other two partitioned it.

5. Haniah T.

I cant understand

No you can have a go please.

6. Hafsa B.

I done it in my homework book

7. Scarlett D.

I have done it.

8. Falikou S.

I need help with the challenge

9. Yibo H.

The largest 3 decimal place number Ben can make is 7.320
The smallest 3 decimal place number Ben can make is 0.237
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

10. Ikram K.

I don’t know how to do this

11. Hanif I.

I didn’t know how to do this.

12. Falikou S.

I dont know how to explane the challenge

13. Rehan H.

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

• Mrs Khan

Well done Rehan, please make sure you complete the rest of the tasks and email them.

14. Hannah N.

I have done the task set for me I will will sent my work now

• Mrs Khan

Well done Hannah.

15. Fatima G.

They are all write because they just used it in different ways.

• Mrs Sharma

Fatima please send over your completed work . I would love to post it on the the blog.

16. Armaan R.

Maths home learning

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.

• Aboubakar Y.

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 .

• Mr Mashford

That’s great Aboubakar, well done! Great explanations!

• Mrs Sharma

Great work Armaan 👍

17. Alom

Ok

18. Mujammil A.

Reasoning challenge:
All of them are right there just showing different methods.

19. Mujammil A.

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

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

• Mrs Habib

Amazing, Mujammil. Well done! Can you explain your answer for the challenge with reasoning?

20. Luqman A.

Reasoning challenge:
Annie is right because she didn’t have to do allot of moving digits that’s why she Is correct.

• Mr Mashford

Are any of the other children right Luqman? How can you tell?

21. Shivani P.

I have completed this task in my homework book.

• Mr Mashford

Fantastic Shivani, well done!

22. Tahseen S.

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.

• Mr Mashford

That’s great Tahseen! Are any of the other children correct? How do you know?

23. Velin R.

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.

• Mrs Habib

Well done, Velin! Super reasoning for the challenge. Email your work over to us please.

24. Hishaam

Bronze:
A) 0.237
B) 73.02
Silver:
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.

• Miss Bhangu

Well done for giving the reasoning challenge a go Hishaam. I am impressed with how hard you have been working and pleased to see that you are trying your best :)

• Hishaam

Thank you

25. Musa A.

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

• Mr Janjua

Well done Musa! Have a go at the challenge :)

26. Damanpreet K.

I have done it in my homework book.

27. Sarina A.

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

• Mrs Habib

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:)

28. Lakeysha M.

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.

• Mrs Habib

Super Lakeysha. Do you think the others could be correct too? Email your completed work in please.

29. Ryan A.

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.

• Mrs Habib

Super work. Ryan how do you know the are others are not right? Explain your reasoning please.

• Miss Bhangu

30. 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.

• For the first one it is meant to say the not Tje

• Reasoning challenge
Teddy and Annie are correct they are just showing the number 0.504 in a different way.

• Mrs Habib

Great work Anis!

• Miss Bhangu

Challenge:

How are they showing it in a different way? Use your reasoning to explain this further please Anis.

31. Sabirin D.

I did it

• Mrs Sharma

32. Inaaya W.

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.

• Inaaya W.

BRONZE:
a.0.237
b.7.320

• Miss Bhangu

Well done for giving this a go Inaaya and for including your reasoning.

33. Braydon Y.

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.

• Mrs Sharma

34. Keisha N.

Annie is correct because Alex has random number and there not from 0.504.

• Mrs Sharma

35. Marvin A.

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.

• Mrs Sharma

Excellent! Marvin please explain why Teddy and Alex are incorrect.

• Marvin A.

Teddy and Alex are incorrect because they have shown a sum which is equal to 504/1000 but not how expected.

36. Aaron S.

Annie is right because 0.504 is In the thousends and it is different to the others.

• Mrs Habib

Hi Aaron, a good try. How do you know the others are not right and Annie is? Please explain with reasons.

• Miss Bhangu

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’.

37. Pooja M.

i dont understand this

• Mrs Habib

Hi Pooja. What are you struggling with? Let us know what you are finding tricky, so that we can support you.

38. Nehemia K.

Annie is correct because 0.504 is in the thousands place.

• Mr Janjua

A good try Nehemia, but have another go!

39. Haniah T.

I cant understand…

40. Harun O.

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.

• Mr Janjua

Well done Harun! Brilliantly explained :)

41. Aiva G.

Annie is right

• Mr Mashford

How do you know she is right Aiva? And how do you know the others are not right? You need to prove it and explain.