Post on 21-Jul-2020
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
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
The supporting video can be found at https://vimeo.com/430338565
©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?
Comparemethodswithapartner.
£3.25
£2.27 £9.10 £4.91 £1.09
Subtracting decimals with a differentnumber of decimal places
1 Usetheplacevaluecharttohelpyouworkoutthesubtractions.
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.
The supporting video can be found at https://vimeo.com/430338659
©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 73.7×10=
b)
H T O Tths Hths
1 4 514.5×10=
c)
H T O Tths Hths
1 5 81.58×10=
d)
H T O Tths Hths
1 3 0 613.06×10=
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 14.1×100=
b)
H T O Tths Hths
4 1 54.15×100=
c)
H T O Tths Hths
1 4 514.5×100=
d)
H T O Tths Hths
4 0 54.05×100=
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
A supporting video can be found at https://vimeo.com/430338787
©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
55÷10=
b)
H T O Tths Hths
1 515÷10=
c)
H T O Tths Hths
3 83.8÷10=
d)
H T O Tths Hths
1 3 813.8÷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=
A supporting video can be found at https://vimeo.com/430338904
©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