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Express this number in scientific notation. 0.000000591

1 Answer

1 vote

Answer:

5.91 × 10^-7

Step-by-step explanation:

Scientific notation is the method of changing a very large or very small number to be a number between 1 and 10 that is multiplied by a power of 10.

For example, the number 0.000000591 can be expressed in scientific notation by following a series of steps.

1.) Count the number of decimal hops that we would need to make so that the number would be between 1 and 10 (5.91 for this question). (in this question, it is 7 decimal places).

2.) After we have the number of hops we need to make the large or small number be between 1 and 10, we determine if the scientific notation is negative or positive. To do this we notice the direction that we hop in step # 1. If we hop from left to right (example 0.000000591) the power of 10 will be negative. If we hop from right to left (example 5,910,000,000) the power of 10 will be positive.

3.) Simply use this formula to find scientific notation:

a = 10^n

a - the given number (0.000000591)

n - the power of ten determined in steps 1 and 2. (-7)

Express this number in scientific notation. 0.000000591-example-1
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