© T Madas
© T Madas
Sometimes we have to round numbers
What does rounding mean?
Can you think of
some examples?
© T Madas
40
40
Rounding to the nearest
10
The rounded number must have a zero at the end
Round 37 to the nearest 10
30 37
© T Madas
Rounding to the nearest
10
The rounded number must have a zero at the end
Round 154 to the nearest 10
160
150 154
150
© T Madas
Rounding to 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.
© T Madas
Rounding to 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
© T Madas
800
800
Rounding to the nearest
100
The rounded number must have 2 zeros at the end
Round 764 to the nearest 100
700 764
© T Madas
1200
1200
The rounded number must have 2 zeros at the end
Round 1235 to the nearest 100
1300
1235
Rounding to the nearest
100
© T Madas
900
900
Round 850 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
© T Madas
Numbers ending 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
© T Madas
8000
8000
Rounding to the nearest
1000
The rounded number must have 3 zeros at the end
Round 7761 to the nearest 1000
7000 7761
© T Madas
8000
8000
The rounded number must have 3 zeros at the end
Round 8339 to the nearest 1000
9000
8339
Rounding to the nearest
1000
© T Madas
7000
7000
Round 6500 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
© T Madas
Numbers ending 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
© T Madas
Practice Rounding
to the nearest…
© T Madas
Round these 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
© T Madas
Round these 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
© T Madas
Quick Test
on Rounding
to the nearest…
© T Madas
Round these 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
© T Madas
Round these 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
© T Madas
© T Madas
We look 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
© T Madas
We look 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
© T Madas
We look 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
© T Madas
Practice Rounding
to Decimal Places
© T Madas
0.49978
8.5328
3.5004
4.089623
6.40078
5.36581
0.10704
1.48173
2.2258
9.2341
Round the following numbers to 1 decimal places
0.49878
7.3058
2.585423
0.46878
2.3553
9.48973
1.3173
8.75438
4.6751
1.56437
6.39745
5.471
3.117
1.867
1.9
5.5
0.43456
6.4
5.245567
0.9034
1.6
4.7
8.8
2.724
1.32
9.49
4.1424
2.36
0.47
3.5024
2.59
7.31
0.50
2.226
1.482
5.366
6.401
4.090
8.533
0.500
2
3
© T Madas
Quick Test
on
Number Rounding
to
Decimal Places
© T Madas
5.36581
0.10704
1.48173
2.2258
9.2341
Round the following numbers to decimal places
2.3553
9.48973
1.3173
6.39745
5.471
3.117
1.867
1.9
5.5
0.43456
6.4
2.724
1.32
9.49
4.1424
2.36
2.226
1.482
5.366
1 d.p. 2 d.p. 3 d.p.
© T Madas
Round the 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
© T Madas

rounding-value for grade 7 students_.ppt

  • 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.
    © T Madas 800 800 Roundingto the nearest 100 The rounded number must have 2 zeros at the end Round 764 to the nearest 100 700 764
  • 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.
    © T Madas 8000 8000 Roundingto the nearest 1000 The rounded number must have 3 zeros at the end Round 7761 to the nearest 1000 7000 7761
  • 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.
    © T Madas PracticeRounding to the nearest…
  • 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.
    © T Madas QuickTest on Rounding to the nearest…
  • 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.
    © T Madas PracticeRounding to Decimal Places
  • 26.
    © T Madas 0.49978 8.5328 3.5004 4.089623 6.40078 5.36581 0.10704 1.48173 2.2258 9.2341 Roundthe following numbers to 1 decimal places 0.49878 7.3058 2.585423 0.46878 2.3553 9.48973 1.3173 8.75438 4.6751 1.56437 6.39745 5.471 3.117 1.867 1.9 5.5 0.43456 6.4 5.245567 0.9034 1.6 4.7 8.8 2.724 1.32 9.49 4.1424 2.36 0.47 3.5024 2.59 7.31 0.50 2.226 1.482 5.366 6.401 4.090 8.533 0.500 2 3
  • 27.
    © T Madas QuickTest on Number Rounding to Decimal Places
  • 28.
    © T Madas 5.36581 0.10704 1.48173 2.2258 9.2341 Roundthe following numbers to decimal places 2.3553 9.48973 1.3173 6.39745 5.471 3.117 1.867 1.9 5.5 0.43456 6.4 2.724 1.32 9.49 4.1424 2.36 2.226 1.482 5.366 1 d.p. 2 d.p. 3 d.p.
  • 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.