1. Rounding Numbers. 6 7 8
6.3
7.2
7.8 =
2035 = 2040
8985 = 9000
6.89 = 6.9

2. Rounded Numbers All Around You.
Here are some examples of rounded numbers which could appear in newspaper headlines:
Watch Scotland Win Again.
March In War Protest.
Man Leaves £2 Million To Charity.
©Microsoft Word clipart

3. Rounding To The Nearest Whole Number.
6.7
Consider the number :
It is our task to decide if the number is closer to : 6 7
Look at the number line below: or 6 7 8
6.5
6.7
Mark the number 6.5
6.5 is the midpoint between 6 and 7.
Mark the number 6.7
Is 6.7 closer to 6 or 7 ?
Is 6.7 above or below 6.5 ?
Above
6.7 = 7 (to the nearest whole number)

4. Further Example. Round the following to the nearest whole number:
(1) 24.3 24 25 26
24.3
24.5
What is the midpoint between 24 and 25 ?
Is 24.3 above or below 24.5 ?
Below.
24.3 = 24 (To the nearest whole number).

5. What Goes In The Box ?
Round the following to the nearest whole number:
NB: always round 0.5 up . Ie = 13 (to the nearest whole number).
(1) 4.8 5
(6) 287.6
288
(2) 7.4 7
(7) 9.8 10
(3) 44.6 44
(8) 49.6 50
(4) 87.5 88
(9) 99.7
100
(5) 56.3 56
(10) 399.5
400

6. Rounding To 1 Decimal Place.
Round 4.67 to one decimal place (1d.p).
4.6
4.7
4.67
4.65
What number is the arrow pointing at ?
Mark 4.67 on the number line .
Is 4.67 closer to 4.6 or 4.7 ?
4.7
4.67 = 4.7 (to 1d.p)

7. Round to 1 d.p .
19.5
19.6
19.53
19.55
What number is the arrow pointing at ?
Mark on the number line .
Is closer to 19.5 or 19.6 ?
19.5
19.53 = 19.5 (to 1d.p)

8. What Goes In The Box ? 2 Round the following to 1 decimal place.
(1) =
34.7
(5) = 60
(6) = 40
(2) =
17.7
100
(3) =
24.8
(7) =
(8) =
1000
(4) =
41.9

9. Rounding To 2 Decimal Places.
In order to make this a faster process we will take a different approach:
Round to 2 decimal places ( 2 d.p). 7
What number is the second after the point ?
Is the number after the seven greater or smaller than 5 ?
8 is greater than 5 (or 8 > 5)
Rule
If the number is greater than or equal to 5 then round up.
Now round to 2 d.p
= (to 2 d.p)

10. Round 23.482 to 2 decimal places ( 2 d.p).
What number is the second after the point ?
Is the number after the eight greater or smaller than 5 ?
2 is less than 5 (or 2 < 5)
Rule
If the number is greater than or equal to 5 then round up.
Now round to 2 d.p
= (to 2 d.p)

11. What Goes In The Box ? 3 Round the numbers below to 2 decimal places.
(1) =
45.78
(5) = 37
(2) =
37.68
(6) =
99.99
0.1
(3) =
6.46
(7) =
0.43
(4) =
(8) =
1000

12. Rounding To The Nearest 10,100,1000 etc.
Round 467 to the nearest ten. 6
Which number is the tens number ?
7 > 5
Is the number after the 6 greater or smaller than 5 ?
Rule
If the number is greater than or equal to 5 then round up.
Now round 467 to the nearest ten.
467= 470 (to the nearest ten).
460
470
467

13. Round 23 438 to the nearest hundred.
Which number is the hundreds number ?
3 < 5
Is the number after the 4 greater or smaller than 5 ?
Now round to the nearest hundred.
Rule
If the number is greater than or equal to 5 then round up.
23 438= (to the nearest hundred).
23 400
23 500
23 438

14. What Goes In The Box ? 4 Round the numbers below to the required unit:
(1) to the nearest ten =
34 570
(2) to the nearest hundred =
47 900
(3) to the nearest thousand =
(4) to the nearest ten thousand =