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WALT. Partition Order Round whole numbers and decimals with up to 2 d.p. Partitioning. Every number sits in it’s own column. M 100 Th 10 th 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: 6
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WALT Partition Order Round whole 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 79046 2 700 000 + 90 000 + 400 + 60 + 2 = 790 462
Question 1 Partitioning 79046 2 In your jotter show the value of: • 6 • 9 • 0 • 2 • 7 • 4
Partitioning ANSWERS • 60 • 90 000 • 0 • 400 • 7 000 000 • 400
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.
Partitioning with decimalsH T U . 1/101/100 3 04 . 15 In your jotter show the value of: • 0 • 4 • 3 • 1 • 5
Partitioning with decimals ANSWERS • 0 • 4 units • 3 hundreds • 1 tenth • 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
263 6 032 2 630 32 Now you can easily see that the order is 32 263 2 630 6 032 Ordering
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 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 Ordering
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
Rounding The number of runners in the London Marathon can be rounded to the nearest 1000
On your whiteboard, round these numbers to the nearest 10 243 3892 456 7295 5999 ANSWERS 240 3890 460 7300 6000 Rounding
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. £4.99 £8.42 £3.67 £9.75 £12.50 Answers £5 £8 £4 £10 £13 Rounding decimals
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?