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Understand thousandths - White Rose Maths · 2020-04-28 · Understand thousandths 1 Tommy is using...

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Understand thousandths 1 Tommy is using base 10 to represent decimals. He uses to represent 1 whole. He uses to represent 1 10 or 0.1 He uses to represent 1 100 or 0.01 He uses to represent 1 1000 or 0.001 What decimals are represented? a) b) c) 2 a) Represent each number using base 10 0.512 1.352 2.003 b) Use your representations to help you complete the statements. 0.512 = 0.5 + 0.01 + 1.352 = 1 + + + 2.003 = 3 Here is a thousand square. Part of the square has been coloured. a) Why do you think it is called a thousand square? b) What fraction of the square has been coloured? 1000 c) Write the fraction as a decimal. © White Rose Maths 2019

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Page 1: Understand thousandths - White Rose Maths · 2020-04-28 · Understand thousandths 1 Tommy is using base 10 to represent decimals. He uses to represent 1 whole. He uses to represent

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

Page 2: Understand thousandths - White Rose Maths · 2020-04-28 · Understand thousandths 1 Tommy is using base 10 to represent decimals. He uses to represent 1 whole. He uses to represent

©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

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thousandths - White Rose Maths€¦ · thousandths 1 Tommy is using base 10 to represent decimals. He uses to represent 1 whole. He to represent 1 10 or 0.1