20 avr 2020 · Objective: To add decimals within 1 For starters Write the following numbers in digits: 1) three point two five
Adding decimals within 1 1 Work out the additions Use the number lines to help you a) 0 3 + 0 2 = Add together 7 hundredths and 34 hundredths
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Adding decimals within 1 1 Work out the additions Use the number lines to help you a) 0 3 + 0 2 = 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 1 b) 0 1 + 0 4 = 0
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Adding decimals within 1
1 Work out the additions.
Use the number lines to help you.
a) 0.3 + 0.2 =
00.10.20.30.40.50.60.70.80.91
b) 0.1 + 0.4 =
00.10.20.30.40.50.60.70.80.91
c) 0.2 + 0.1 + 0.2 =
00.10.20.30.40.50.60.70.80.91
What do you notice about your answers?
2 Complete the part-whole models.
a) c) b) d)
3 Complete the additions.
Use the place value charts to help you.
a) 0.42 + 0.3 = b) 0.28 + 0.32 =
© White Rose Maths 2020
0.10.3
0.5 0.4
0.70.20.050.0050.5
OnesTenthsHundredths
OnesTenthsHundredths
0402
+003
© White Rose Maths 2020
c) 0.28 + 0.36 =
4 Use the column method to work out the additions.
a) d) b) e) c) f)
5 Jack has set up a column addition
to work out 0.19 + 0.07
What mistake has Jack made?
6 Add together 7 hundredths and 34 hundredths.
Give your answer as a decimal.
7 hundredths and 34 hundredths =
7 Eva drinks a quarter of a litre of water.
Mo drinks 0.3 litres of water.
Whitney drinks a tenth of a litre more water than Mo.
How much water do Eva, Mo and Whitney
drink altogether? 042
+03 042
+0033
004 +033
0436
+017 0751
+009 019 +07
OnesTenthsHundredths
W ate r
Subtracting decimals within 1
1 Work out the subtractions.
Use the number lines to help you.
a) 0.9 - 0.2 =
00.10.20.30.40.50.60.70.80.91
b) 0.8 - 0.1 =
00.10.20.30.40.50.60.70.80.91
c) 1 - 0.2 - 0.1 =
00.10.20.30.40.50.60.70.80.91
What do you notice about your answers?
2 Complete the part-whole models.
a) c) b) d)
3 Complete the subtractions.
Use the place value charts to help you. The first one has been started for you. a) 0.42 - 0.3 =
OnesTenthsHundredths
b) 0.28 - 0.05 =
OnesTenthsHundredths
© White Rose Maths 2020
0.6 0.3 0.09 0.03 0.7 0.3 0.005 0.004
© White Rose Maths 2020
4 Use the column method to work out the subtractions.
a) c) b) d) 5
Do you agree with Eva?
Work out the answer to 0.56 - 0.099
6 Find the difference between 53 hundredths and 8 tenths.
Give your answer as a decimal.
The difference between 53 hundredths and 8 tenths is
7 A piece of wood is 0.9 metres long.
It is cut into 3 unequal pieces.
The first piece is 0.2 metres longer than the second piece. The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?
1st = 2nd = 3rd =
I can't work out 0.56 - 0.099
because 99 is bigger than 56 089
-04 077
-068 07 -025 077
-064 1st 2nd 3rd
Complements to 1
1 Each hundred square represents one whole.
Use the hundred squares to help you complete the additions. a) 0.3 + = 1 c) 1 = + 0.79 b) 0.35 + = 1 d) = 0.01 = 1
2 Complete the calculations.
Shade the hundred squares to help you.
a) 1 = 0.47 + b) 0.02 + 0.2 + = 1
3 Complete the bar models.
a) 1 0.17 b) 1 0.49 c) 0.71 1 d)
0.320.33
1
© White Rose Maths 2020
© White Rose Maths 2020
4 Teddy has these counters.
He wants to exchange these for as many 1s counters as possible.
How many 1s counters can he collect?
5 Complete the additions.
54 + = 100
5.4 + = 10
0.54 + = 1
0.054 + = 0.1
What is the same and what is different about your answers?
6 Complete the sentences.
a) 6 tenths + tenths = 1 whole b) 23 hundredths + hundredths = 1 whole c) 2 tenths + hundredths + tenths = 1 whole
7 Match the pairs of decimals that add together to make 1 whole.
0.12 0.988 0.21 0.79 0.212 0.778 0.012 0.788 0.222 0.88
8 Mo has completed these calculations.
He has got them all incorrect.
What mistake has Mo made?
Correct Mo's calculations.
a) 0.22 + = 1 c) 0.677 + = 1 b) 0.39 + = 1 a) 0.22 + 0.88 = 1 b) 0.39 + 0.71 = 1 c) 0.677 + 0.433 = 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 100
1 100
1 100
1 100
1 100
1 100
Adding decimals - crossing the whole
1 Work out the totals of these decimals.
Use the number lines to help you.
a) 0.7 + 0.7 =
00.51.512
b) 0.9 + 0.45 =
00.51.512
c) 0.6 + 0.8 + 0.15 =
00.51.512
2 Complete the additions.
a) 0.74 + 0.36 =
OnesTenthsHundredths
b) 0.86 + 0.68 =
OnesTenthsHundredths
© White Rose Maths 2020
074
+036
086
+068
03 +0804
0604
+0519
3 Use the column method to work out the additions.
a) e) b) f) c) g) d) h) 0751
+032
05 +077
0222
+0876
© White Rose Maths 2020
4 Teddy runs 0.32 km.
Amir runs half a kilometre. Whitney runs 0.47 km. a) How far do they run altogether? km b) Jack runs 7 tenths of a kilometre further than Whitney. How far does Jack run? km
5 Ron buys all these items plus a drink costing ninety-five pence.
How much does Ron spend in total? Ron spends £ in total. 042
+069
041
+07 096
+097
Crisps
£0.79
£0.65
£0.54
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