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.

**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.**

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.

Picture sent

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

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.

I cant understand

No you can have a go please.

I done it in my homework book

I have done it.

I need help with the challenge

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

I don’t know how to do this

I didn’t know how to do this.

I dont know how to explane the challenge

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

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

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

Well done Hannah.

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

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

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 .

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

Great work Armaan 👍

Ok

Reasoning challenge:

All of them are right there just showing different methods.

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

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

Reasoning challenge:

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

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

I have completed this task in my homework book.

Fantastic Shivani, well done!

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.

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

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.

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

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.

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 :)

Thank you

‘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

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

I have done it in my homework book.

Hi Damanpreet, can you share your reasoning for the Challenge on the blog. Also please email your work in to yr5upload@broadheath.coventry.sch.uk

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:)

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.

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

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.

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

Great work Ryan. Please remember to include your reasoning.

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.

Great work Anis!

Challenge:

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

I did it

Well done! Please write your answer for reasoning challenge on the blog.

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.

BRONZE:

a.0.237

b.7.320

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

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.

Braydon please check your starter answer (largest 3 decimal number)

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

Please explain how’s Annie’s answer correct.

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.

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

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

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

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

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’.

i dont understand this

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

Annie is correct because 0.504 is in the thousands place.

A good try Nehemia, but have another go!

I cant understand…

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.

Super! A good explanation Harun! Email your completed work to yr5uploda@broadheath.coventry.sch.uk. Look forward to seeing your work soon.

Well done Harun! Brilliantly explained :)

Annie is right

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.

Starter task:

3.720

0.237

A good start Saskia. Please complete all the work and email it over to us. Look forward to seeing your finished work:)

Saskia starter is correct, please can you answer challenge question on the blog.