Tenths as decimals

1 Shadethebarmodelstorepresenttheamounts.

a) 7tenths

b)410

c) 0.3

2 Completethetabletoshowthefractionsanddecimalsthebar

modelsrepresent.

Barmodel Fraction Decimal

3 Writeeachfractionanddecimalinthecorrectplaceonthe

numberline.

210

0.6 910

0.1

0 1

4 WorkoutthevaluesofA,BandC.

Giveyouranswersasfractionsanddecimals.

0 1

A B C

A or

B or

C or

5 Matchtheequivalentfractions,decimalsandwords.

0.7310

fourtenths

0.3910

onetenth

0.4710

threetenths

0.1410

ninetenths

0.9110

seventenths

©WhiteRoseMaths2019

8 Eighttenthscanberepresentedinallofthewaysshown.

A C

B D

0 1

Whichdoyouthinkisthebestrepresentation?

Discussyouranswerwithapartner.

Representsixtenthsineachdifferentway.

6 Whatisthetotalvaluerepresentedbyeachtenframe?

a)

1 10 100 1,000 10,000 100,000 1,000,0001 10 100 1,000 10,000 100,000 1,000,0001 10 100 1,000 10,000 100,000 1,000,0001 10 100 1,000 10,000 100,000 1,000,0001 10 100 1,000 10,000 100,000 1,000,000

1 10 100 1,000 10,000 100,000 1,000,0001 10 100 1,000 10,000 100,000 1,000,0001 10 100 1,000 10,000 100,000 1,000,0001 10 100 1,000 10,000 100,000 1,000,0001 10 100 1,000 10,000 100,000 1,000,000

b)

1 1 1 1 1

1 1 1 1 1

c)

7

DoyouagreewithRon?

Explainyouranswer.

©WhiteRoseMaths2019

Nine tenthscan be written 0.9, so ten

tenths must be 0.10

810