Asked by Music Lover 14
Hi, I really need some help with scientific notation. How do I convert large numbers like 108,000,000 and other numbers that are even larger than this to scientific notation? This is for a math project and even though I learned about this, it's still hard for me to understand this. Somebody please help me! :/
Answers
Answered by
Steve
starting at the decimal point (or the rightmost digit if there is none), count how many places left you have to move the point till the number is between 1 and 10 (less than 10).
Note that 10^0 = 1
108,000,000 = 108,000,000 x 10^0
108,000 x 10^3
108 x 10^6
10.8 x 10^7
1.08 x 10^8
That is the scientific notation.
42376.3 = 4.23763 x 10^4
since we had to move the decimal point 4 places to the left to make the multiplier less than 10.
This works the other way as well, using negative exponents.
0.0023 = 2.3 x 10^-3
because we moved 3 places to the right.
Note that 10^0 = 1
108,000,000 = 108,000,000 x 10^0
108,000 x 10^3
108 x 10^6
10.8 x 10^7
1.08 x 10^8
That is the scientific notation.
42376.3 = 4.23763 x 10^4
since we had to move the decimal point 4 places to the left to make the multiplier less than 10.
This works the other way as well, using negative exponents.
0.0023 = 2.3 x 10^-3
because we moved 3 places to the right.
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