5 6 4

– 3 1 2

Subtracting decimals with the samenumber of decimal places

1 Useaplacevaluechartandcounterstohelpyoucomplete

thesubtractions.

Tens Ones Tenths Hundredths

1 1 1 1 1

1 1

a) 14.83–12.12= c)14.83–12.92=

b) 14.83–12.14= d)14.83–12.94=

e) Whichcalculationwaseasier?Talkaboutitwithapartner.

f) Whathappenswhenyoudon’thaveenoughcountersina

columntotakeaway?

2 Completethesentences.

1tencanbeexchangedfor ones.

1onecanbeexchangedfor tenths.

1tenthcanbeexchangedfor10 .

3 Annieiscalculating2.42–1.17usingthecolumnmethod.

Sheusesaplacevaluecharttohelpher.

Ones Tenths Hundredths

1 1

Howdoestheplacevaluechartsupportthecolumnmethod?

Talkaboutitwithapartner.

4 Completethecolumnsubtractions.

a) c)

b) d)

©WhiteRoseMaths2020

8 0 9

– 3 8 1

2 34 12

– 1 1 7

1 2 5

1 2 0 2

– 1 1 3 8

5 6 4

– 3 1 5

©WhiteRoseMaths2020

5 Whitneyhas£8.52

Shebuysthiscomic.

Howmuchmoneydoesshehaveleft?

£

6 Herearesomeitemsforsaleinashop.

a) Howmuchmoredoesascarfcostthanabagofmarbles?

£

b) Estherhas£15.31

Shebuysapairofheadphonesandabagofmarbles.

Howmuchmoneydoesshehaveleft?

£

c) Tomhas£7.01

Hebuysoneitemandhas£5.92left.

Whatdidhebuy?

Tombought .

7 RonandDoraaredoingasponsoredwalk.

Ronwalks3.12miles.

Dorawalks5.49miles.

HowmuchfurtherdoesDorawalkthanRon?

Dorawalks milesfurtherthanRon.

8 Tommyhasthreepiecesofstring.

• Thefirstpieceis0.78mlong.

• Thesecondpieceis0.24mshorterthanthefirstpiece.

• Thethirdpieceis0.07mshorterthanthesecondpiece.

Whatisthetotallengthofallthreepiecesofstring?

Giveyouranswerinmetresandcentimetres.

mand cm

9 A,BandCarepointsonanumberline.

100 200

A

118.76

C

186.34

B

159.72

HowmuchgreateristhedifferencebetweenAandCthanthe

differencebetweenBandC?

m

Comparemethodswithapartner.

£3.25

£2.27 £9.10 £4.91 £1.09

Subtracting decimals with a differentnumber of decimal places

1 Useplacevaluecounterstohelpyouworkoutthesubtractions.

Ones Tenths Hundredths

a) c)

5 3 6

– 1 2

5 3 6

– 3 8

b) d)

5 3 6

– 3 5

5 3 6

– 4 7

2 Alexisusingcounterstohelpherworkout4.7–1.35

DoyouagreewithAlex? .

Talkaboutitwithapartner.

3 Completethesubtractions.

a) c)

2 3 6

– 1 4

7 3

– 1 1 5

b) d)

6 1 5

– 3 8

2 4 4

– 3 1 2

4 Usethecolumnmethodtoworkoutthesubtractions.

a) 13.59–1.82 c)5.6–1.39

b) 73.84–9.2 d)18.2–3.64

©WhiteRoseMaths2020

I can’t do this as I don’thave any hundredths counters.

©WhiteRoseMaths2020

5 Aplankofwoodmeasures2.6m.

Acarpentercutsapieceofwoodfromtheplankthatis0.52mlong.

a) Whatisthelengthoftheremainingplank?

m

b) Thecarpentercutsasecondpieceofwoodfromtheplank.

Shenowhas0.3moftheplankremaining.

Whatisthelengthofthesecondpieceofwoodthatshecut?

m

6 Themassofabagofmarblesis54.3g.

Thesetwomarblesareremovedfromthebag.

Whatisthemassofthebagofmarblesnow?

g

7 Workoutthemissingdigits.

__3.4–2.5__=10.81

8 Usethecolumnmethodtoworkoutthesubtractions.

a) 14–2.7 d) 26–3.91

b) 8–3.65 e) 25–3.842

c) 20–2.85 f) 90–0.821

34 cm 221 cm2.6m

7.2g 14.54g

Multiplying decimals by 10, 100 and 1,000

1 Completethemultiplications.

a)

H T O Tths Hths

3 7

3.7×10=

b)

H T O Tths Hths

1 4 5

14.5×10=

c)

H T O Tths Hths

1 5 8

1.58×10=

d)

H T O Tths Hths

1 3 0 6

13.06×10=

Whatdoyounoticewhenyoumultiplyanumberby10?

2 Completethemultiplications.

a) 1.7×10= d) 13.4×10=

b) 1.75×10= e) 10×13.04=

c) 1.73×10= f) 130.4×10=

3 Completethemultiplications.

a)

H T O Tths Hths

4 1

4.1×100=

b)

H T O Tths Hths

4 1 5

4.15×100=

c)

H T O Tths Hths

1 4 5

14.5×100=

d)

H T O Tths Hths

4 0 5

4.05×100=

Whatdoyounoticewhenyoumultiplyanumberby100?

4 Completethecalculations.

a) 7.2×100= d) 1.89×100=

b) 3.4×100= e) 73.57×100=

c) 19.5×100= f) 1.317×100=

©WhiteRoseMaths2020

©WhiteRoseMaths2020

5 Amirhasmultiplied3.8by1,000

a) WhatmistakehasAmirmade?

b) Workoutthecorrectanswer. 3.8×1,000=

6 Completethemultiplications.

a) 4.7×10= c) 5.84×10=

4.7×100= 5.84×100=

4.7×1,000= 5.84×1,000=

b) 19.3×10= d) 18.06×10=

19.3×100= 100×18.06=

1,000×19.3= 18.06×1,000=

Howdidyouworkouttheanswers?Talktoapartner.

7 Completethecalculations.

a) 7.7× =770 e) 8.032× =80.32

b) ×10=1,950 f) ×18.3=1,830

c) 11.5× =115 g) 195.32× =1,953.2

d) ×11.5=11,500 h) ×1,000=7,200

8 Tommyis1.4mtall.

Atreeis10timesastallasTommy.

Abuildingis100timesastallasTommy.

a) Howtallisthetree? m

b) Howmuchtalleristhebuildingthanthetree?

m

9 Matchthemultiplicationstothedescriptions.

×10×10

×10×10×10

×100×10

×10×100

×10×1

multiplyby10

multiplyby100

multiplyby1,000

The answer is 3.8000

Dividing decimals by 10, 100 and 1,000

1 Completethedivisions.

a)

H T O Tths Hths

5

5÷10=

b)

H T O Tths Hths

1 5

15÷10=

c)

H T O Tths Hths

3 8

3.8÷10=

d)

H T O Tths Hths

1 3 8

13.8÷10=

Whatdoyounoticewhenyoudivideanumberby10?

2 Completethecalculations.

a) 7÷10= d) 16÷10=

b) 7.8÷10= e) 16.4÷10=

c) 7.86÷10= f) 16.48÷10=

3 Completethedivisions.

a)

H T O Tths Hths Thths

1 7 b)

H T O Tths Hths Thths

9 4

c)

H T O Tths Hths Thths

2 7 6

d)

H T O Tths Hths Thths

3 2 5

Whatdoyounoticewhenyoudivideanumberby100?

4 Completethedivisions.

a) 7÷100= b) 109÷100=

7.2÷100= 10.9÷100=

7.25÷100= 10.95÷100=

©WhiteRoseMaths2020

17÷100=

9.4÷100=

276÷100=

32.5÷100=

©WhiteRoseMaths2020

5 Useaplacevaluecharttoworkout136÷1,000

H T O Tths Hths Thths

1 3 6

Completethecalculation.

136÷1,000=

Talktoapartneraboutyourmethod.

6 Useyourknowledgeofmeasuretoworkouttheanswers.

a) Whatisthemassoftheboxinkilograms?

÷ =

b) Whatistheheightofthesunflowerinmetres?

÷ =

c) Whatistheamountofjuiceinlitres?

÷ =

7 Completethecalculations.

a) 147÷10= c) 3,200÷10=

147÷100= 3,200÷100=

147÷1,000= 3,200÷1,000=

b) 21÷10= d) 5,006÷10=

21÷100= 5,006÷100=

21÷1,000= 5,006÷1,000=

8 Completethedivisions.

a) 83÷ =0.83 e) 1,799÷ =17.99

b) ÷10=0.95 f) ÷100=11.8

c) ÷10=3.9 g) 178÷ =17.8

d) 68÷ =0.068 h) 3.18÷ =0.318

2,340g

235cm

380ml