# 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.

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

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!

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

1. Aamir K.

A) 73/100
B) 11/100
C) 73/100

2. Scarlett D.

Mistake. I forgot. I already done it.

3. Scarlett D.

I have done it in my homework book.

4. Samantha N.

i have done task 1 and found it easy

5. Scarlett D.

I did silver in my book

• Mr Janjua

Well done Scarlett, now please have a go at today’s blog :)

6. Sarina A.

A. 73/100=0.73
B. 11/100=0.11
C. 73/100=0.73
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

• Miss Cochrane

Good work Sarina, keep it up!

7. Lakeysha M.

I mean were .

8. Lakeysha M.

I have done all the tasks in my homework book and wwere going to send an email .

• Mr Janjua

Am* do send it over please :)

9. Yibo H.

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.
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

10. Salman R.

completed it

• Mr Janjua

Well done Salman, would be lovely if you could email some work over?

11. Zavian K.

1. 73/100
2. 92/100
3. 73/100
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

12. Umaiyyah A.

I have done my maths task:)

Hope you are all safe:)
Don’t let the virus get to you 🦠

13. Tahseen S.

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.

14. Hannah N.

I have done silver and found it really easy and I understood it very well

• Mrs Habib

Well done Hannah. Can you email your work to us. Why not practise some more decimals on my Maths blog that I have posted today.

• Mr Janjua

Well done Hannah! Please email your work! You’re working very hard right now which is great to see!

15. Aboubakar Y.

I have done this work.

• Mrs Habib

Excellent, email your work to us Aboubakar.

16. Fatima G.

I have done this now I will do PSHE:)

• Miss Cochrane

17. Armaan R.

Maths home learning

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.

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.

• Mrs Sharma

Another great piece of work. Well done Armaan

18. Velin R.

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.

• Velin R.

WORDS:
30.45= thirty point fourty five.
40.35= fourty point fourty five.
50.34= fifty point thirty four.

• Mr Janjua

Well done Velin! That is fantastic! You have aced this challenge 😁😁

• Mr Janjua

Would you be able to do it for thousandths?

19. Mubarig O.

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

• Mrs Khan

Well done Mubarig. Please keep on top of the blogs.

• Mr Janjua

Nice to hear from you Mubarig!

20. Rehan H.

10/100
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

• Mrs Khan

• Rehan H.

Ok

21. Nehemia K.

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

• Mrs Khan

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.

• Mr Janjua

Brilliant work Nehemia! You are working very hard at the moment which is great to see!

22. Nehemia K.

3.45,3.54,4.35,4.53.5.34,5.43

23. Musa A.

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.
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.

• Mrs Khan

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.

• Musa A.

ok Mrs Khan I thought that you had to use only 3,4 and 5.

• Mr Janjua

Well done Musa! You have understood this. With the challenge see if you can write them as a fraction!

• Musa A.

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

24. Damanpreet K.

I have done it in my homework.

• Mr Janjua

Well done Damanpreet! You know what to do, email email email 😁

25. Braydon Y.

9/100
10/100
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

• Mrs Sharma

Brilliant work Braydon :D

26. Shivani P.

I have completed this task in my homework book and will email it in later.

• Miss Bhangu

Great! Thank you Shivani.

27. Hafsa B.

I done in my homework book

• Mrs Khan

Hafsa, it is so good to see you on the blog. Please can you complete work on the blog daily and email your work to the year 5 email address.

• Mr Janjua

Thank you Hafsa for commenting! Please continue to do the work!!!

28. Hishaam

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

:}

29. Marvin A.

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

• Mrs Sharma

Brilliant work Marvin. :D

30. Reyan M.

1. 3.089
2. 5.36
3. 2.093
4. 10 .05
5. 6.018

• Mrs Khan

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.

31. Reyan M.

1. 3.089
2. 5.36
3. 2.093
4. 10 .01
5. 6.012

A. 73/100=0.73
B. 11/100=0.11
C. 73/100=0.73

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

• Mr Mashford

Super decimals work Anis, well done! When completing this work, have you used any pictorial methods to help you?

33. Keisha N.

1) – 0.345=345/1000
2) – 0.453=453/1000
3) – 0.435=435/1000

• Mrs Sharma

Keisah please double check your answers. Look at the questions there’s a digit missing from tens column, tenths and hundredths.

34. Inaaya W.

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

• Mr Mashford

Well done Inaaya! Although, if I’m honest, my eye is twitching and my head is aching when I read the last three parts for the challenge. I can see that you have written the numbers as words, which is great. But, can you see which words are causing my head to go woozy and my eye to twitch?

• Hayyan S.

Done it in book

• Mrs Khan

Hayyan, good to see you on the blog. Can you email your work to the year 5 email address?

• Inaaya W.

Sorry I spelt forty wrong.😕

35. Sanya S.

Finished

36. Luqman A.

challenge:
1.30.45
2.40.35
3.50.34
4.53.40
5.03.45

• Mr Mashford

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!

3.84
5 36/100
6.12
1.09
5 82/100
3 47/100
2.91
7 83/100

• Miss Bhangu

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.

38. Aiva G.

1. 3.089
2. 5.36
3. 2.093
4. 10 .01
5. 6.012

• Mrs Sharma

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.

39. Ryan A.

1.=0.345=345/1000
2.=0.453=453/1000
3.=0.435=435/1000

• Mrs Habib

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?

• Miss Bhangu

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 :)

40. Abdirahman M.

I have sent it on the email

41. Callum D.

1.=0.345=345/1000
2.=0.453=453/1000
3.=0.435=435/1000

• Mrs Habib

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.

42. Haniah T.

I cant understand

• Mrs Habib

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!

43. Sabirin D.

I did it. Here is one of my answres 10 1/100 = 10.01

• Mrs Sharma

Well done Sabrin :D

• Mr Janjua

Well done Sabirin! I am glad you have understood this! Have a go at the challenge!

44. Aidan M.

0.345 = 345/1000
0.453 = 453/1000
40.53=40 53/100

• Miss Bhangu

Well done Aidan! Keep up the good work.

45. Braydon Y.

I have done maths

• Mrs Sharma

46. Oliwier J.

I have done it in my book

• Mr Janjua

Oliwier please double check, as this blog just went up again after some edits. Please send your work over by email :)

47. Aaron S.

I did it in my homework book

• Mr Janjua

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.

• Miss Bhangu

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.

48. Harun O.

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

• Mr Janjua

Well done Harun, could you write any as a mixed number and put the digits in the ones column instead?