1) 100,000 = 10^5
2) 0.0001 = 10^-4
3) 1,500 = 10^2 * 5
4) 0.0009 = 10^-4 * 9
5) 375 = 375 * 10^0
6) 1.2 = 1.2 * 10^0
Am I correct on them or did I make a mistake? Please explain to me if I got some wrong how its done before you just say, "wrong" or give an answer. Like tell me how you got it. Thanks.
2) 0.0001 = 10^-4
3) 1,500 = 10^2 * 5
4) 0.0009 = 10^-4 * 9
5) 375 = 375 * 10^0
6) 1.2 = 1.2 * 10^0
Am I correct on them or did I make a mistake? Please explain to me if I got some wrong how its done before you just say, "wrong" or give an answer. Like tell me how you got it. Thanks.
-
The "fun" part of working with a base-10 number system is:
when you multiply by 10, you simply add a zero at the end.
10 * 10 = 100
100 * 10 = 1,000
and so on
10^5, by definition, means 10*10*10*10*10
10 multiplied by itself 5 times = five zeros after the 1
Dividing by 10 is almost as much fun: push the decimal point to the left.
10^1 = 10
10^0 = 10 / 10 = 1
10^-1 = 1/10 = 0.1
10^-2 = 0.1 / 10 = 0.01
---
For scientific notation, the coefficient is always between 1 and 10 (or, if you prefer, from 1 to 9.99999...)
followed by the power of 10.
5 * 10^2 would be 5 * 100 = 500 (not 1500)
1500 = 1.5 * 1000 = 1.5 * 10^3
---
375 =
375 * 10^0
37.5 * 10^1
3.75 * 10^2
(3.75 * 100)
Although 375 * 10^0 is the same value as 375, it is not the "scientific notation".
when you multiply by 10, you simply add a zero at the end.
10 * 10 = 100
100 * 10 = 1,000
and so on
10^5, by definition, means 10*10*10*10*10
10 multiplied by itself 5 times = five zeros after the 1
Dividing by 10 is almost as much fun: push the decimal point to the left.
10^1 = 10
10^0 = 10 / 10 = 1
10^-1 = 1/10 = 0.1
10^-2 = 0.1 / 10 = 0.01
---
For scientific notation, the coefficient is always between 1 and 10 (or, if you prefer, from 1 to 9.99999...)
followed by the power of 10.
5 * 10^2 would be 5 * 100 = 500 (not 1500)
1500 = 1.5 * 1000 = 1.5 * 10^3
---
375 =
375 * 10^0
37.5 * 10^1
3.75 * 10^2
(3.75 * 100)
Although 375 * 10^0 is the same value as 375, it is not the "scientific notation".