ordering_and_rounding[1]

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Transcript ordering_and_rounding[1]

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
7
0
4
6
2
9
700 000 + 90 000 + 400 + 60 + 2 = 790 462
Question 1 Partitioning
7
9
0
4
6
In your jotter show the value of:
1.
2.
3.
4.
5.
6.
6
9
0
2
7
4
2
Partitioning
ANSWERS
1.
2.
3.
4.
5.
6.
60
90 000
0
400
7 000 000
400
Partitioning with decimals
H
T
U
.
1/
1/
10
100
7
7
.
.
9
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/
3
0
4
.
1
10
In your jotter show the value of:
1.
2.
3.
4.
5.
0
4
3
1
5
1/
5
100
Partitioning with decimals
ANSWERS
1.
2.
3.
4.
5.
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
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
972
2974
4927
ANSWER
724
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
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
ANSWER
In your jotter write these
decimal numbers in
order starting with the
largest.
78.6
6.78 876 78.6 8.67
8.67
876
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
Rounding
The number of runners
in the London Marathon
can be rounded to
the nearest 1000
Rounding
ANSWERS
On your whiteboard, round
these numbers to the nearest
10
1. 243
2. 3892
3. 456
4. 7295
5. 5999
1.
2.
3.
4.
5.
240
3890
460
7300
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
Answers
In your jotter, round
these amounts of money
to the nearest pound.
1.
2.
3.
4.
5.
£4.99
£8.42
£3.67
£9.75
£12.50
1.
2.
3.
4.
5.
£5
£8
£4
£10
£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?