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- 1.
- 2.
© T Madas
Sometimeswe have to round numbers
What does rounding mean?
Can you think of
some examples?
- 3.
© T Madas
40
40
Roundingto the nearest
10
The rounded number must have a zero at the end
Round 37 to the nearest 10
30 37
- 4.
© T Madas
Roundingto the nearest
10
The rounded number must have a zero at the end
Round 154 to the nearest 10
160
150 154
150
- 5.
© T Madas
Roundingto the nearest
10
Round 125 to the nearest 10
130
120 125 130
When our number lies halfway between “tens”,
we have agreed to round the number up.
- 6.
© T Madas
Roundingto the nearest
10
Numbers ending in 1, 2, 3 and 4
get rounded down
Numbers ending in 5, 6, 7 , 8 and
9 get rounded up
Examples:
27 30
94 90
146 150
305 310
68 70
132 130
565 570
481 480
- 7.
- 8.
© T Madas
1200
1200
Therounded number must have 2 zeros at the end
Round 1235 to the nearest 100
1300
1235
Rounding to the nearest
100
- 9.
© T Madas
900
900
Round850 to the nearest 100
800 850
When our number lies halfway between
“hundreds”, we have agreed to round the
number up.
Rounding to the nearest
100
- 10.
© T Madas
Numbersending in 0s, 10s, 20s, 30s and 40s
get rounded down
Numbers ending in 50s, 60s, 70s , 80s and
90s get rounded up
Examples:
237 200
874 900
536 500
350 400
1168 1200
2032 2000
5750 5800
40081 40100
Rounding to the nearest
100
- 11.
- 12.
© T Madas
8000
8000
Therounded number must have 3 zeros at the end
Round 8339 to the nearest 1000
9000
8339
Rounding to the nearest
1000
- 13.
© T Madas
7000
7000
Round6500 to the nearest 1000
6000 6500
When our number lies halfway between
“thousands”, we have agreed to round the number
up.
Rounding to the nearest
1000
- 14.
© T Madas
Numbersending in 00s, 100s, 200s, 300s and 400s
get rounded down
Numbers ending in 500s, 600s, 700s , 800s and
900s get rounded up
Examples:
2837 3000
4874 5000
5376 5000
7500 8000
1868 2000
2499 2000
29780 30000
45681 46000
Rounding to the nearest
1000
- 15.
- 16.
© T Madas
Roundthese numbers to the nearest…
48
87
184
145
1563
3217
2005
50
90
180
150
1560
3220
2010
…10
209
2867
3467
1095
1550
45678
61981
200
2900
3500
1100
1600
45700
62000
…100
3456
5349
89231
37849
32489
49838
71974
3000
5000
89000
38000
32000
50000
72000
…1000
…whole number
2.7
4.2
10.4
3
4
10
27.9
7.67
33.37
28
8
33
31.436
764.92
0.86
31
765
1
- 17.
© T Madas
Roundthese numbers to the nearest…
78
67
181
125
1343
3787
1998
80
70
180
130
1340
3790
2000
…10
279
2557
23107
16915
1850
49805
61041
300
2600
23100
16900
1900
49800
61000
…100
76532
64543
37859
90832
98114
89575
70456
77000
65000
38000
91000
98000
90000
70000
…1000
…whole number
2.8
8.2
11.4
3
8
11
37.9
7.17
39.67
38
7
40
37.685
344.02
0.81
38
344
1
- 18.
- 19.
© T Madas
Roundthese numbers to the nearest…
48
87
184
145
1563
3217
2005
50
90
180
150
1560
3220
2010
…10
209
2867
3467
1095
1550
45678
61981
200
2900
3500
1100
1600
45700
62000
…100
3456
5349
89231
37849
32489
49838
71974
3000
5000
89000
38000
32000
50000
72000
…1000
…whole number
2.7
4.2
10.4
3
4
10
27.9
7.67
33.37
28
8
33
31.436
764.92
0.86
31
765
1
- 20.
© T Madas
Roundthese numbers to the nearest…
78
67
181
125
1343
3787
1998
80
70
180
130
1340
3790
2000
…10
279
2557
23107
16915
1850
49805
61041
300
2600
23100
16900
1900
49800
61000
…100
76532
64543
37859
90832
98114
89575
70456
77000
65000
38000
91000
98000
90000
70000
…1000
…whole number
2.8
8.2
11.4
3
8
11
37.9
7.17
39.67
38
7
40
37.685
344.02
0.81
38
344
1
- 21.
- 22.
© T Madas
Welook at the 1st
decimal place
• If it is 0, 1, 2, 3 or 4 we just throw all the decimal
digits away
• If it is 5, 6, 7, 8 or 9 we throw all the decimal
digits away and we increase the units by 1
Rounding decimals… to the nearest whole
number
Examples:
23.7 24
8.94 9
53.6 54
3.52 4
1.768 2
20.32 20
5.8757 6
40.071 40
- 23.
© T Madas
Welook at the 2nd
decimal place
• If it is 0, 1, 2, 3 or 4 we just throw the 2nd
, the 3rd
, the
4th
… decimal digits away
• If it is 5, 6, 7, 8 or 9 we throw the 2nd
, the 3rd
, the 4th
… decimal digits away and we increase the 1st
decimal digit by 1
Rounding decimals… to one decimal place
Examples:
3.734 3.7
8.294 8.3
9.16 9.2
6.52 6.5
5.728 5.7
41.32 41.3
5.8757 5.9
40.071 40.1
- 24.
© T Madas
Welook at the 3rd
decimal place
• If it is 0, 1, 2, 3 or 4 we just throw the 3rd
, the 4th
, the
5th
… decimal digits away
• If it is 5, 6, 7, 8 or 9 we throw, the 3rd
, the 4th
, the 5th
… decimal digits away and we increase the 2nd
decimal digit by 1
Rounding decimals… to two decimal places
Examples:
3.7342 3.73
5.2863 5.29
0.1605 0.16
2.5782 2.58
5.7028 5.70
4.3592 4.36
5.8957 5.90
4.9971 5.00
- 25.
- 26.
- 27.
- 28.
- 29.
© T Madas
Roundthe following numbers to decimal places
1 d.p. 2 d.p. 3 d.p.
0.49978
8.5328
3.5004
4.089623
6.40078
0.49878
7.3058
2.585423
0.46878
8.75438
4.6751
1.56437
5.245567
0.9034
1.6
4.7
8.8
0.47
3.5024
2.59
7.31
0.50
6.401
4.090
8.533
0.500
- 30.