Understand thousandths

1 Tommyisusingbase10torepresentdecimals.

Heuses torepresent1whole.

Heuses torepresent1

10or0.1

Heuses torepresent1

100or0.01

Heuses torepresent1

1000or0.001

Whatdecimalsarerepresented?

a)

b)

c)

2 a) Representeachnumberusingbase10

0.512 1.352 2.003

b) Useyourrepresentationstohelpyoucompletethestatements.

0.512=0.5+0.01+

1.352=1+ + +

2.003=

3 Hereisathousandsquare.

Partofthesquarehasbeencoloured.

a) Whydoyouthinkitiscalledathousandsquare?

b) Whatfractionofthesquarehasbeencoloured?1000

c) Writethefractionasadecimal.

©WhiteRoseMaths2019

©WhiteRoseMaths2019

4 Whatfractionofeachsquarehasbeenshaded?

Writeeachnumberasafractionandasadecimal.

a) b)

fraction= fraction=

decimal= decimal=

5 Colourthegridstorepresentthefractionanddecimal.

a) 73

1000 b) 0.302

6 Representthesenumbersonaplacevaluechart.

a) 1.372 b)0.091 c)3.542

7 Showthat400

1000isthesameas0.4

8 Writethenumbersrepresentedbytheplacevaluecharts.

a)

Ones Tenths Hundredths Thousandths

1

1

1

1

b)

Ones Tenths Hundredths Thousandths