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Partitioning

Every number sits in it’s own column.

M 100Th 10th Th H T U

79046 2

700 000 + 90 000 + 400 + 60 + 2 = 790 462

Partitioning with decimals H T U . 1/101/100

7 . 9

7 . 9 0

These two numbers are the same. Zeros written at the end of the complete number after the decimal point do not alter the value of the whole number.

You will need to remember this for the ordering activity.

Ordering

Once you know the value of each digit, you can put numbers in order according to their size.

When working with whole numbers, put them in order by lining up the units column.

Ordering

When working with whole numbers, put them in order by lining up the units column.

263

6 032

2 630

32

Try doing this in your jotter.

They should now look like this

Ordering

In your jotter write these numbers in order starting with the smallest.

- 724 2974 972

ANSWER

724 972 2974 4927

Ordering

When you use decimal numbers, it can be a bit more complicated to begin with.

First make sure that all the numbers have the same number of digits after the decimal point.

23.4 3.42 43.2 324

These can all be written with 2 decimal points

23.40 3.42 43.20 324.00

If you then write the numbers in a vertical list with the decimal points lined up you can easily see the order.

23.40

3.42

43.20

324.00

Written in order from smallest to largest the numbers should read:

3.42

23.40

43.20

324.00

OrderingIn your jotter write these decimal numbers in order starting with the largest.

6.78 876 78.6 8.67

ANSWER

876

78.6

8.67

6.78

OrderingRounding

Rounded numbers are used all the time in every day life.

The number of marbles in a bag can be rounded to the nearest 10.

On your whiteboard, round these numbers to the nearest 10

243

3892

456

7295

5999

ANSWERS

240

3890

460

7300

6000

RoundingDecimal numbers can be rounded to the nearest whole number, especially in the case of money or measure.

£1.99 can be rounded to £2

4 m 35 cm can be rounded to 4 m

Rounding decimalsIn your jotter, round these amounts of money to the nearest pound.

£4.99

£8.42

£3.67

£9.75

£12.50

Answers

£5

£8

£4

£10

£13

Rounding decimalsPlenary

You have been learning to partition, order and round whole numbers and decimals with up to 2 d.p.

Do you understand what each of these words mean?

Can you suggest examples from real life where it might be useful to be able to partition, order or round large numbers or numbers involving decimals?

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