Thursday 7th May: Year 5 – Decimals as Fractions (2)

Today we will be extending our learning about fractions as decimals! What you need to know is that you can convert fractions to decimals AND decimals back into fractions.

As you can see below in the place value chart, 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).

Decimal Place Value Poster HTU. Tenths, Hundredths, Thousandths ...
Decimal Place Value (solutions, examples, videos)

Watch the video below, which will help to explain the above further.

Now, watch the home learning video and after, scroll down and answer the questions!

If you need to, use this hundred square below as a resource to help you answer the questions.

Independent Task – Answer the questions

(For question 1, state how many squares you will need to colour in: e.g. “For 5/100 I will need to shade in 5 squares to show 0.05”)

Challenges:

85 thoughts on “Thursday 7th May: Year 5 – Decimals as Fractions (2)

  1. 1. 2/100 = I would have coloured in 2 boxes.
    b. 2/10 = I would have coloured in 20 boxes.
    c. 20/100 = I would have coloured in 20 boxes.
    d. 90/100 = I would have coloured in 90 boxes.

    2. 40/100 or 4/10 or 0.4

    3. ?

    4. 2.15 = 2 100 coloured boxes and a 15 coloured box.
    b. 3 7/10 = 3 100 coloured boxes and a 70 coloured box.

    5. 1.3 1.6 1.85 1.98
    b. 5 1/10 5 1/2 5 75/100 590/100

    6. ?

    7. 32.6 = 3 8/10
    b. 2.03 = 2 3/100
    c. 13.08 = 13 8/100
    d. 3.98 = 3 98/100

    8. 54.03 45.03 43.05 35.04 53.04 34.05

    • A.) You would have to colour in 2 of the 100 boxes.
      B.) You would have to colour in 2 of the 10 boxes.
      C.)You would have to colour in 20 of the 100 boxes.
      D.)You would have to colour in 90 of the 100 boxes.

      2.) 40/ 100 4/10 .

      3.)1 23/100 = 1.23
      2 55/100 = 2.55

      4.) 2.15 would be represented as 2 100 squares shaded in and then 15 squares shaded on the last one.

      3 wholes and 7/10 would be 3 shaded in and then 7 shaded in on the last one.

      7.)

      A.) 32 6/10
      B.) 2 3/100
      C.) 13 8/100
      D.) 3 98 /100

    • Hi Zavian, do not worry I will call you today to discuss the Maths. Have a look at the start of the decimals unit and I will be able to support you. Go back to the videos from the start of the week :)

  2. 1) I have done this in my homework book.

    2) 40/100 = 4/10 = 0.4
    3) I’ve done it in my homework book.
    a) 1 23/100 = 1.23
    b) 2 55/100 = 2.55
    c) 2 7/10 = 2.7

    4) I’ve done it in my homework book.

    5) I’ve done it in my homework book.

    6)
    Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.

    Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.

    Decimal = 5.62, decimal expand form = 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form = 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.

    Decimal = 8.2, decimal expand form = 8+0.0+0.02, fraction = 8 2/100, fraction expanded form = 8+0/10+2/100, in words 8 ones and 2 hundredths.

    7
    a) 32.6 = 32 6/10
    b) 2.03 = 2 3/100
    c) 13.08 = 13 8/100
    d) 3.98 = 3 98/100

    8) 45.03, 54.03, 43.05, 35.04, 53.04, 34.05

    Challenge:
    23.7
    2 tens, 3 ones and 7 tenths is equal to 20 + 3 + 0.723 7/10

    2.37
    2 ones, 3 tenths and 7 hundredths
    2 + 0.3 + 0.7
    2 37/100

    9.08
    9 ones, 0 tenths and 8 hundredths
    9 + 0.0 + 0.08
    9 8/100

    0.98
    0 ones, 9 tenths and 8 hundredths is equal to 0 + 0.9 + 0.08 98/100.

  3. 1) I have done this in my homework book.
    2) 40/100 = 4/10 = 0.4
    3
    a) 1 23/100 = 1.23
    b) 2 55/100 = 2.55
    c) 2 7/10 = 2.7
    4) I have done this in my homework book.
    5) I have done this in my homework book.
    6)
    Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.
    Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.
    Decimal = 5.62, decimal expand form = 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form = 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.
    Decimal = 8.2, decimal expand form = 8+0.0+0.02, fraction = 8 2/100, fraction expanded form = 8+0/10+2/100, in words 8 ones and 2 hundredths.
    7

  4. 2 out of 100
    2 out of 10
    20 out of 100
    90 out of 100
    Please it keeps deleting everything

    40 out of 100
    40 out of 10= 4.0
    0.4

    0.23
    2.65
    2.70

  5. 1)Done,I have Emailed
    2)40/100=4/10=0.4
    3)
    a}1 23/100=1.23
    b}2 55/100=2.55
    c}2 70/10=2.70
    4)Done,I have Emailed
    5)Done,I have Emailed
    6)4 37/100 is the missing number.
    7)
    a}32.6=32 6/10
    b}2.03=2 3/100
    c}13.08=13 8/100
    d}3.98=3 98/100
    8)34.05
    43.05
    54.03
    35.04
    45.03
    53.04

  6. 1)Done
    2)40/100=4/10=0.4
    3)
    a}1 23/100=1.23
    b}2 55/100=2.55
    c}2 70/10=2.70
    4)Done
    5)Done
    6)4 37/100 is the missing number.
    7)
    a}32.6=32 6/10
    b}2.03=2 3/100
    c}13.08=13 8/100
    d}3.98=3 98/100
    8)34.05
    43.05
    54.03
    35.04
    45.03
    53.04

    • Well done. If you could send your work to the year5 email address that would be good. Good to see you commenting on the blogs. Keep it up!

    • Lakeysha, remember the number before the decimal point is the whole so the first one:- 32.6 = 32 wholes and 6/10. To convert into a mixed number fraction you would multiply the whole by 10 so 32 x 10 = 320 and then add the 6 = 326/10.
      Have a go at the others and let me know how you get on. You can send your work and I can check it. Well done for trying.

  7. 5.0 6.0

    2.13 2 + 0.1 + 0.03 2 13/100 2 + 1/10 + 3/100 2 ones, 1 tenth and 3 hundredths

    4.37 4 + 0.3 + 0.07 4 37/100 4 + 3/10 + 7/100 4 ones, 3 tenths and 7 hundredths

    5.62 5 + 0.6 + 0.02 5 62/100 5 + 6/10 + 2/100 5 ones, 6 tenths and 2 hundredths

    8.02 8 + 0.0 + 0.02 8 2/100 8 + 0/10 + 2/100 8 ones, 0 tenths and 2 hundredths

    32.6 = 32 6/10 = 32 3/5
    2.03 = 2 3/100
    13.08 = 13 8/100 = 13 2/25
    3.98 = 3 98/100 = 3 49/50

    I found 6 numbers.
    34.05

    • Rehan, I am disappointed in the fact that you have been told on numerous occasions to not copy and you continue to copy answers from someone else and only do half the work. You can do better than this.

  8. The amount that is shaded in is going to have to be 40/100. It could be explained as 4/10 and 0.4 on top of that.
    1 23/100 = 123/100 = 1.23
    2 55/100 = 255/100 = 2.55
    Decimal equals to 2.13, decimal expand form equal to 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words its 2 ones 1 tenth and 3 hundredth.Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.
    Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form is equal to 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth. Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.
    Decimal is equal to 5.62, the decimal expands form then it is equal to 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form is equal to 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.
    It doesn’t always work because if you convert a proper fraction you will be able to put it after the decimal point. However it would not work for an improper fraction because the numerator will be larger than the denominator which will have to turn it into ones with the remaining numbers being decimals.

    • Adam, I am not certain that this is your work considering it looks the same as other children’s. Please can you do your own work and start sending to year 5 email address.

  9. 1) I have done this in my homework book.
    2) 40/100 = 4/10 = 0.4
    3
    a) 1 23/100 = 1.23
    b) 2 55/100 = 2.55
    c) 2 7/10 = 2.7
    4) I have done this in my homework book.
    5) I have done this in my homework book.
    6)
    Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.
    Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.
    Decimal = 5.62, decimal expand form = 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form = 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.
    Decimal = 8.2, decimal expand form = 8+0.0+0.02, fraction = 8 2/100, fraction expanded form = 8+0/10+2/100, in words 8 ones and 2 hundredths.
    7
    a) 32.6 = 32 6/10
    b) 2.03 = 2 3/100
    c) 13.08 = 13 8/100
    d) 3.98 = 3 98/100
    8) 45.03, 54.03, 43.05, 35.04, 53.04, 34.05

  10. To get the answer for 12.23 + 1.254. I need to write the sum out . I noticed 1.254 has 4 thousandth and 12.23 doesn’t have a thousandth so I added 0 on to the number. This now is 12.230. Now I can add both numbers together. 12.230 + 1.254 = 13.484.

    • Well done Armaan, the use of the placeholder was fantastic. You have understood place value correctly! Well done for remembering that the decimal point does not move at all when adding!

  11. The amount that is shaded in is 40/100. It can be explained as 4/10 and 0.4 as well.
    1 23/100 = 123/100 = 1.23
    2 55/100 = 255/100 = 2.55
    2 7/10 = 27/10 = 2.7

    1.3 1.6 1.85 1.98
    |____|____|____|____|____|____|____|____|____|____|
    1.0 2.0

    5 1/10 5 1/2 5 73/100 590/600
    |____|____|____|____|____|____|____|____|____|____|
    5.0 6.0

    2.13 2 + 0.1 + 0.03 2 13/100 2 + 1/10 + 3/100 2 ones, 1 tenth and 3 hundredths

    4.37 4 + 0.3 + 0.07 4 37/100 4 + 3/10 + 7/100 4 ones, 3 tenths and 7 hundredths

    5.62 5 + 0.6 + 0.02 5 62/100 5 + 6/10 + 2/100 5 ones, 6 tenths and 2 hundredths

    8.02 8 + 0.0 + 0.02 8 2/100 8 + 0/10 + 2/100 8 ones, 0 tenths and 2 hundredths

    32.6 = 32 6/10 = 32 3/5
    2.03 = 2 3/100
    13.08 = 13 8/100 = 13 2/25
    3.98 = 3 98/100 = 3 49/50

    I found 6 numbers.
    34.05
    43.05
    53.04
    35.04
    54.03
    45.03

    Challenge:

    23.7
    2 tens, 3 ones and 7 tenths
    20 + 3 + 0.7
    23 7/10

    2.37
    2 ones, 3 tenths and 7 hundredths
    2 + 0.3 + 0.7
    2 37/100

    9.08
    9 ones, 0 tenths and 8 hundredths
    9 + 0.0 + 0.08
    9 8/100

    0.98
    0 ones, 9 tenths and 8 hundredths
    0 + 0.9 + 0.08
    98/100

    It doesn’t always work because if you convert a proper fraction, you will be able to put it after the decimal. But it won’t work for an improper fraction because the numerator will be bigger than the denominator which will have to turn it into ones with the remaining being decimals.

  12. Maths home learning

    1) I have done this in my homework book.

    2) 40/100 = 4/10 = 0.4

    3
    a) 1 23/100 = 1.23
    b) 2 55/100 = 2.55
    c) 2 7/10 = 2.7

    4) I have done this in my homework book.

    5) I have done this in my homework book.

    6)
    Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.

    Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.

    Decimal = 5.62, decimal expand form = 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form = 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.

    Decimal = 8.2, decimal expand form = 8+0.0+0.02, fraction = 8 2/100, fraction expanded form = 8+0/10+2/100, in words 8 ones and 2 hundredths.

    7
    a) 32.6 = 32 6/10
    b) 2.03 = 2 3/100
    c) 13.08 = 13 8/100
    d) 3.98 = 3 98/100

    8) 45.03, 54.03, 43.05, 35.04, 53.04, 34.05

    I have also done all the questions in my homework book as well.

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