1. © T Madas

2. What is one hundredth of 32? What is one thousandth of 1860?
What is one tenth of 7?
Find 7 x 0.1 =
0.7 7 x 1 10 = 7 10 =
0.7
What is one hundredth of 32?
Find 32 x 0.01 =
0.32 32 x 1
100 = 32
100 =
0.32
What is one thousandth of 1860?
Find x =
1.86
1860 x 1
1000 =
1860
1000 =
1.86
© T Madas

3. What happens if we divide by 0.1, 0.01, 0.001 etc?
What is one tenth of 12.5?
Find x 0.1 =
1.25
12.5 x 1 10 =
12.5 10 =
1.25
Multiplying by 0.1 is the same as
Multiplying by 0.01 is the same as
Multiplying by is the same as
Multiplying by is the same as
etc
dividing by 10
dividing by 100
dividing by 1000
dividing by 10000
What happens if we divide by 0.1, 0.01, etc?
© T Madas

4. How many tenths in 9?
Find 9 ÷ 0.1 = 90 9 ÷ 1 10 = 9 x 10 1 = 90
How many hundredths in 5?
Find 5 ÷ 0.01 =
500 5 ÷ 1
100 = 5 x
100 1 =
500
© T Madas

5. Find 32 ÷ =
32000 32 ÷ 1
1000 = 32 x
1000 1 =
32000
How many thousandths in 32?
© T Madas

6. Multiplying by 0.1 is the same as Multiplying by 0.01 is the same as
etc
dividing by 10
dividing by 100
dividing by 1000
dividing by 10000
Dividing by 0.1 is the same as
Dividing by 0.01 is the same as
Dividing by is the same as
Dividing by is the same as
etc
multiplying by 10
multiplying by 100
multiplying by 1000
multiplying by 10000
© T Madas

7. Multiplying & Dividing by 0.1, 0.01, 0.001 …
Practice on
Multiplying & Dividing
by 0.1, 0.01, …
© T Madas

8. 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 =
0.058
2.813 ÷ =
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

9. 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 =
0.4394
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 ÷ = 15
© T Madas

10. 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 ÷ = 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 ÷ = 91
0.41 ÷ 0.01 = 41
1876 x 0.01 =
18.76
© T Madas

11. Multiplying & Dividing by Powers of 10
Practice on
Multiplying & Dividing
by Powers of 10
© T Madas

12. 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 ÷ =
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

13. 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 =
0.609
413 x 0.1 =
41.3
1656 x 0.01 =
16.56
© T Madas

14. 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 =
0.305
1.7 x 0.1 =
0.17
609 ÷ 0.1 =
6090
0.04 x 10 =
0.4
96 x =
0.0096
© T Madas

15. Multiplying & Dividing by 0.1, 0.01, 0.001 …
Quick Test on
Multiplying & Dividing
by 0.1, 0.01, …
© T Madas

16. 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 =
0.058
2.813 ÷ =
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

17. 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 =
0.4394
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 ÷ = 15
© T Madas

18. 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 ÷ = 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 ÷ = 91
0.41 ÷ 0.01 = 41
1876 x 0.01 =
18.76
© T Madas

19. Multiplying & Dividing by Powers of 10
Quick Test on
Multiplying & Dividing
by Powers of 10
© T Madas

20. 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 ÷ =
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

21. 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 =
0.609
413 x 0.1 =
41.3
1656 x 0.01 =
16.56
© T Madas

22. 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 =
0.305
1.7 x 0.1 =
0.17
609 ÷ 0.1 =
6090
0.04 x 10 =
0.4
96 x =
0.0096
© T Madas

23. © T Madas

24. © T Madas