9×10^9 | 3×10^-6/(0.1) ^2+3×10^-6/(0.1) ^2| please explain step by step.
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Answer:
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?
We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).
Here are some examples of scientific notation.
10000 = 1 x 104 24327 = 2.4327 x 104
1000 = 1 x 103 7354 = 7.354 x 103
100 = 1 x 102 482 = 4.82 x 102
10 = 1 x 101 89 = 8.9 x 101 (not usually done)
1 = 100
1/10 = 0.1 = 1 x 10-1 0.32 = 3.2 x 10-1 (not usually done)
1/100 = 0.01 = 1 x 10-2 0.053 = 5.3 x 10-2
1/1000 = 0.001 = 1 x 10-3 0.0078 = 7.8 x 10-3
1/10000 = 0.0001 = 1 x 10-4 0.00044 = 4.4 x 10-4
As you can see, the exponent of 10 is the number of places the decimal point must be shifted to give the number in long form. A positive exponent shows that the decimal point is shifted that number of places to the right. A negative exponent shows that the decimal point is shifted that number of places to the left.
In scientific notation, the digit term indicates the number of significant figures in the number. The exponential term only places the decimal point. As an example,
46600000 = 4.66 x 107
This number only has 3 significant figures. The zeros are not significant; they are only holding a place. As another example,
0.00053 = 5.3 x 10-4
This number has 2 significant figures. The zeros are only place holders.
How to do calculations:
Explanation:
Answer:
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