WALTPartition

Order

Roundwhole numbers and

decimals with up to 2 d.p.

Partitioning

Every number sits in it’s own column.

M 100Th 10th Th H T U

7 9 0 4 6 2

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

Question 1 Partitioning

7 9 0 4 6 2

In your jotter show the value of:

1. 6

2. 9

3. 0

4. 2

5. 7

6. 4

Partitioning

ANSWERS

1. 60

2. 90 000

3. 0

4. 400

5. 7 000 000

6. 400

Partitioning with decimals

H T U . 1/101/100

7 . 97 . 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.

Partitioning with decimals

H T U . 1/101/100

3 0 4 . 1 5

In your jotter show the value of:

1. 0

2. 4

3. 3

4. 1

5. 5

Partitioning with decimals

ANSWERS

1. 0

2. 4 units

3. 3 hundreds

4. 1 tenth

5. 5 hundredths

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

263

6 032

2 630

32

Now you can easily see that the order is

32

263

2 630

6 032

Ordering

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

4927 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 points23.40 3.42 43.20 324.00

Ordering

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

Ordering

In 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

Rounding

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.

Rounding

The number of sheep in a flock

could be rounded to the nearest 100

RoundingThe number of runners

in the London Marathon can be rounded to the nearest 1000

Rounding

On your whiteboard, round these numbers to the nearest 10

1. 2432. 38923. 4564. 72955. 5999

ANSWERS

1. 2402. 38903. 4604. 73005. 6000

Rounding decimals

Decimal 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 decimals

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

1. £4.992. £8.423. £3.674. £9.755. £12.50

Answers

1. £52. £83. £44. £105. £13

Plenary

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?