# 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).

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. Aamir K.

I think 5.3 as a fraction is 5 3/10.

2. Aman M.

• Miss Cochrane

Can you give us an example please?

3. Scarlett D.

I have done the rest of it in my book.

4. Lakeysha M.

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.

• Mr Janjua

Well done Lakeysha, you have understood this well and will be okay for tomorrow’s learning! Keep up the fantastic work!

5. Sarina A.

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

• Miss Cochrane

Well done. So what do you think 3.7 would be as a mixed fraction?

6. Zavian K.

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

• Mrs Khan

Well done, please also complete task a and b in your homework books and you can email it over? Good to see you on the blogs Zavian.

7. Fatima G.

I have done it
5.3 converted in a fraction would be 5 3/10

• Miss Cochrane

Well done!

8. Youssif G.

Done it all

plenary:
5.3=53/10=5 3/10

• Miss Cochrane

Well done.

9. Ryan I.

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

• Mrs Khan

Well done Ryan. Keep it up!

10. Salman R.

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.

• Mrs Khan

Well done Salman. Please complete Mrs Habib’s GD blogs as well.

11. Umaiyyah A.

5/3 would be a mixed number.
5 wholes and 3 tenths

• Mrs Sharma

Ummaiyah please send your completed work to us to have a look.

12. Yibo H.

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

• Miss Bhangu

Well done for explaining Yibo.
Good understanding.

• Aboubakar Y.

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

I have done the task in my book.
5.3 as a fraction is 5 3/10.

• Mrs Khan

14. Hannah N.

• Mrs Khan

Please email it over Hannah. Well done.

15. Ryan A.

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.

• Miss Bhangu

Okay. Great work Ryan!

16. Scarlett D.

I meant 7\1000.

• Mrs Khan

17. Damanpreet K.

I done it in my homework book.

• Mrs Khan

Well done Damanpreet. How did you find the task? Please email it over to the year 5 team.

18. Scarlett D.

I have done it.
C. As a fraction it will be 7\100.

19. Rehan H.

I did the challenge independently

20. Rehan H.

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 😀😀

• Mrs Khan

That’s good to hear Rehan, can you email your work over please?

21. Mujammil A.

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.

• Mrs Khan

Well done Mujammil, you don’t need to print the task out just write it in your book.

22. Armaan R.

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

• Miss Cochrane

Well done Armaan.

23. Aiva G.

To convert 5.3 in to a fraction you would need to end up with a product of 5\3 … SIMPLIFYING TIME!!!!!!!!!!!!

• Miss Cochrane

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?

24. Samantha N.

i did changing the decimal into a fraction and found it easy

• Mrs Sharma

25. Velin R.

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.

• Mr Janjua

Wow Velin! Fantastic use of vocabulary! I am really impressed!

26. Callum D.

1. = 34/100
2. = 344/1000
3.=674/1000
4.=631/1000
5.=64/100
6.=9/10
7.=16/100
8.=315/1000
9.5/10
10.=927/1000

• Mrs Sharma

Brillliant work Callum. Please send us rest of your work and answer plenary question on the blog.

27. Hishaam

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.

• Miss Bhangu

Wow Hishaam! Great effort from you. Nice to see work being sent to us as well. Keep up the great work and take care.

28. Lexi S.

I have done it and I will send it to yr 5 upload

• Mrs Sharma

Brilliant! looking forward to see your amazing work.

• Lexi S.

I’ve sent it :)

• Mrs Sharma

Lexi I have received a part of it. please can you send rest. Thank you

29. 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

• Challenge
To convert 5.3 into a fraction you need to put in the answer as 5/3 then convert it into a mixed number and then convert it to make sure you have 10 as your denominator.

• Mrs Habib

Great reasoning Anis. Fantastic!

• Miss Bhangu

Great explanation Anis.
Nice to be seeing work from you over email as well. Keep up the good work.

30. Luqman A.

challenge
you can convert it into a bar model to turn it into a fraction

• Miss Bhangu

How would you convert this Luqman?

31. Nehemia K.

53/10

• Mr Janjua

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.

32. Reyan M.

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

• Mrs Khan

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.

33. Nehemia K.

17/50
43/125
337/500
631/1000
16/25
9/10
4/25
63/200
1/5
927/1000

• Mrs Khan

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?

34. Shivani P.

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.

• Miss Bhangu

• Mr Janjua

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)

35. Oliwier J.

I have done it
Plenary
You could draw the place value table and work out the answer.

• Mrs Khan

36. Aidan M.

5.3=5 3/10

• Miss Bhangu

Even better, email us your work! Thank you.

37. Sabirin D.

I did it

• Mrs Habib

Well done Sabrin. Email your work over to us. Thanks.

38. Keisha N.

Done

• Mrs Habib

Super Keisha, send your work in. Thanks.

• Mrs Sharma

39. Tahseen S.

I have completed the tasks in my homework book. :)

• Miss Bhangu

That’s great Tahseen! Please email it to us. Look forward to seeing your work.

40. Harun O.

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

• Mr Janjua

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!

• Mrs Khan

Well done Harun, can you complete task a and b in your book and send to year 5 email address? Please complete Mrs Habib’s GD blog?

41. Abdirahman M.

I have sent it on the email

• Miss Bhangu

Are you sure? This is the second time you have said this Abdi, but nothing has come through. Please make sure you are sending it to y5upload@broadheath.coventry.sch.uk
Thank you!

42. Inaaya W.

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

• Miss Bhangu

Really good effort Inaaya. As a challenge, can you explain your reasoning for a couple of them? That would be great! Well done!

43. Marvin A.

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.

• Mrs Habib

Great work Marvin- well done. Can you use your reasoning for your answer to the plenary question? Look forward to seeing your reasoning.