Transcript multiply_and_divide_by_0.1_0.01_0.001_etc

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Find 7 x 0.1 = 0.7
7 x
1
7
=
= 0.7
10 10
Find 32 x 0.01 = 0.32
32 x
1
32
=
= 0.32
100
100
Find 1860 x 0.001 = 1.86
1
1860
=
= 1.86
1860 x
1000 1000
What is one
tenth of 7?
What is one
hundredth of 32?
What is one
thousandth of
1860?
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Find 12.5 x 0.1 = 1.25
1
12.5
=
= 1.25
12.5 x
10
10
What is one
tenth of 12.5?
Multiplying by 0.1 is the same as dividing by 10
Multiplying by 0.01 is the same as dividing by 100
Multiplying by 0.001 is the same as dividing by 1000
Multiplying by 0.0001 is the same as dividing by 10000
etc
What happens if we divide by 0.1, 0.01, 0.001 etc?
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Find 9 ÷ 0.1 = 90
1
10
=9 x
= 90
9÷
10
1
Find 5 ÷ 0.01 = 500
1
100
=5 x
= 500
5 ÷
100
1
How many
tenths in 9?
How many
hundredths in 5?
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Find 32 ÷ 0.001 = 32000
32 ÷
1000
1
32
x
=
= 32000
1
1000
How many thousandths
in 32?
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Multiplying by 0.1 is the same as dividing by 10
Multiplying by 0.01 is the same as dividing by 100
Multiplying by 0.001 is the same as dividing by 1000
Multiplying by 0.0001 is the same as dividing by 10000
etc
Dividing by 0.1 is the same as multiplying by 10
Dividing by 0.01 is the same as multiplying by 100
Dividing by 0.001 is the same as multiplying by 1000
Dividing by 0.0001 is the same as multiplying by 10000
etc
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Practice on
Multiplying & Dividing
by 0.1, 0.01, 0.001 …
© T Madas
Multiply and Divide by 0.1, 0.01, 0.001, etc
43 x 0.1 = 4.3
8.6 ÷ 0.1 = 86
175 x 0.01 = 1.75
4.7 ÷ 0.01 = 470
123 x 0.1 = 12.3
1.25 ÷ 0.1 = 12.5
58 x 0.001 = 0.058
2.813 ÷ 0.001 = 2813
570 ÷ 0.1 = 5700
42 x 0.1 = 4.2
86 ÷ 0.1 = 860
465 x 0.01 = 4.65
32 ÷ 0.01 = 3200
320 x 0.01 = 3.2
412 ÷ 0.1 = 4120
4109 x 0.01 = 41.09
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Multiply and Divide by 0.1, 0.01, 0.001, etc
66 ÷ 0.1 = 660
2.6 ÷ 0.1 = 26
31 x 0.1 = 3.1
8.7 ÷ 0.01 = 870
14.9 ÷ 0.1 = 149
17.5 x 0.1 = 1.75
10 x 0.1 = 1
439.4 x 0.001 = 0.4394
100 ÷ 0.1 = 1000
213 x 0.1 = 21.3
7500 x 0.1 = 750
465 ÷ 0.1 = 4650
4.52 ÷ 0.1 = 45.2
0.87 ÷ 0.1 = 8.7
34 ÷ 0.1 = 340
0.015 ÷ 0.001 = 15
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Multiply and Divide by 0.1, 0.01, 0.001, etc
131 x 0.1 = 13.1
9.63 x 0.1 = 0.963
35 ÷ 0.1 = 350
5.52 ÷ 0.1 = 55.2
0.5 x 0.1 = 0.05
0.05 x 0.1 = 0.005
0.7 ÷ 0.1 = 7
0.04 ÷ 0.001 = 40
0.93 x 0.1 = 0.093
0. 02 x 0.01 = 0.0002
18 ÷ 0.01 = 1800
35 ÷ 0.1 = 350
2.7 x 0.01 = 0.027
0.091 ÷ 0.001 = 91
0.41 ÷ 0.01 = 41
1876 x 0.01 = 18.76
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Practice on
Multiplying & Dividing
by
Powers of 10
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Multiply and Divide by Powers of 10
16 ÷ 0.1 = 160
0.65 x 100 = 65
1.23 x 10 = 12.3
2.71 ÷ 0.01 = 271
48 ÷ 10 = 4.8
2.25 x 10 = 22.5
0.58 x 10 = 5.8
4.916 ÷ 0.001 = 4916
57 ÷ 1000 = 0.057
52 ÷ 1000 = 0.052
8.6 ÷ 0.01 = 860
375 x 0.01 = 3.75
32 ÷ 10 = 3.2
665 x 0.1 = 66.5
41 x 0.1 = 4.1
792 ÷ 0.1 =7920
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Multiply and Divide by Powers of 10
151 ÷ 0.1 = 1510
7.62 ÷ 10 = 0.762
364 x 0.01 = 3.64
1.92 x 0.1 = 0.192
0.2 x 10 = 2
0.85 x 1000 =850
0.83 ÷ 10 = 0.083
6.006 x 1000 = 6006
930 x 0.01 = 9.3
72 ÷ 1000 = 0.072
18 ÷ 0.01 = 1800
305 ÷ 0.01 = 30500
17 ÷ 100 = 0.17
609 x 0.001 = 0.609
413 x 0.1 = 41.3
1656 x 0.01 = 16.56
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Multiply and Divide by Powers of 10
16.1 ÷ 0.1 = 161
7.62 ÷ 10 = 0.762
3.64 x 10 = 36.4
1.48 ÷ 0.1 = 14.8
9.2 x 0.1 = 0.92
411 x 0.01 = 4.11
0.83 ÷ 10 = 0.083
0.096 x 1000 = 96
93 ÷ 100 = 0.93
27 ÷ 1000 = 0.027
1825 ÷ 0.01 = 18.25
305 x 0.001 = 0.305
1.7 x 0.1 = 0.17
609 ÷ 0.1 = 6090
0.04 x 10 = 0.4
96 x 0.0001 = 0.0096
© T Madas
Quick Test on
Multiplying & Dividing
by 0.1, 0.01, 0.001 …
© T Madas
Multiply and Divide by 0.1, 0.01, 0.001, etc
43 x 0.1 = 4.3
8.6 ÷ 0.1 = 86
175 x 0.01 = 1.75
4.7 ÷ 0.01 = 470
123 x 0.1 = 12.3
1.25 ÷ 0.1 = 12.5
58 x 0.001 = 0.058
2.813 ÷ 0.001 = 2813
570 ÷ 0.1 = 5700
42 x 0.1 = 4.2
86 ÷ 0.1 = 860
465 x 0.01 = 4.65
32 ÷ 0.01 = 3200
320 x 0.01 = 3.2
412 ÷ 0.1 = 4120
4109 x 0.01 = 41.09
© T Madas
Multiply and Divide by 0.1, 0.01, 0.001, etc
66 ÷ 0.1 = 660
2.6 ÷ 0.1 = 26
31 x 0.1 = 3.1
8.7 ÷ 0.01 = 870
14.9 ÷ 0.1 = 149
17.5 x 0.1 = 1.75
10 x 0.1 = 1
439.4 x 0.001 = 0.4394
100 ÷ 0.1 = 1000
213 x 0.1 = 21.3
7500 x 0.1 = 750
465 ÷ 0.1 = 4650
4.52 ÷ 0.1 = 45.2
0.87 ÷ 0.1 = 8.7
34 ÷ 0.1 = 340
0.015 ÷ 0.001 = 15
© T Madas
Multiply and Divide by 0.1, 0.01, 0.001, etc
131 x 0.1 = 13.1
9.63 x 0.1 = 0.963
35 ÷ 0.1 = 350
5.52 ÷ 0.1 = 55.2
0.5 x 0.1 = 0.05
0.05 x 0.1 = 0.005
0.7 ÷ 0.1 = 7
0.04 ÷ 0.001 = 40
0.93 x 0.1 = 0.093
0. 02 x 0.01 = 0.0002
18 ÷ 0.01 = 1800
35 ÷ 0.1 = 350
2.7 x 0.01 = 0.027
0.091 ÷ 0.001 = 91
0.41 ÷ 0.01 = 41
1876 x 0.01 = 18.76
© T Madas
Quick Test on
Multiplying & Dividing
by
Powers of 10
© T Madas
Multiply and Divide by Powers of 10
16 ÷ 0.1 = 160
0.65 x 100 = 65
1.23 x 10 = 12.3
2.71 ÷ 0.01 = 271
48 ÷ 10 = 4.8
2.25 x 10 = 22.5
0.58 x 10 = 5.8
4.916 ÷ 0.001 = 4916
57 ÷ 1000 = 0.057
52 ÷ 1000 = 0.052
8.6 ÷ 0.01 = 860
375 x 0.01 = 3.75
32 ÷ 10 = 3.2
665 x 0.1 = 66.5
41 x 0.1 = 4.1
792 ÷ 0.1 =7920
© T Madas
Multiply and Divide by Powers of 10
151 ÷ 0.1 = 1510
7.62 ÷ 10 = 0.762
364 x 0.01 = 3.64
1.92 x 0.1 = 0.192
0.2 x 10 = 2
0.85 x 1000 =850
0.83 ÷ 10 = 0.083
6.006 x 1000 = 6006
930 x 0.01 = 9.3
72 ÷ 1000 = 0.072
18 ÷ 0.01 = 1800
305 ÷ 0.01 = 30500
17 ÷ 100 = 0.17
609 x 0.001 = 0.609
413 x 0.1 = 41.3
1656 x 0.01 = 16.56
© T Madas
Multiply and Divide by Powers of 10
16.1 ÷ 0.1 = 161
7.62 ÷ 10 = 0.762
3.64 x 10 = 36.4
1.48 ÷ 0.1 = 14.8
9.2 x 0.1 = 0.92
411 x 0.01 = 4.11
0.83 ÷ 10 = 0.083
0.096 x 1000 = 96
93 ÷ 100 = 0.93
27 ÷ 1000 = 0.027
1825 ÷ 0.01 = 18.25
305 x 0.001 = 0.305
1.7 x 0.1 = 0.17
609 ÷ 0.1 = 6090
0.04 x 10 = 0.4
96 x 0.0001 = 0.0096
© T Madas
© T Madas
© T Madas