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2 votes
Write 0.0059 in scientific notation.

2 Answers

5 votes

Answer:

The scientific notation for the provided number is
5.9 * 10^(-3).

Explanation:

Steps to convert a number in scientific notation:

Step 1: Shift the decimal place to right in order to make a new number from 1 to 10.

Step 2: Now identify the exponent, by the number of times decimal moved.

Consider the provided number 0.0059.


5.9 * 10^(x)

Now count the number of times we moved decimal i.e 3. Here, decimal moved to the right, therefore, the exponent is negative.


5.9 * 10^(-3)

Hence, the scientific notation for the provided number is
5.9 * 10^(-3).

User Arbitur
by
8.0k points
5 votes
Hi!

When we write a number in scientific notation, we write it like this:
N ×
10^(x)


N = a number between one and 10
x = negative if the decimal is moved to the right. positive if moved to the left.

Okay, so we need to move the decimal in the number 0.0059 to the right to make it between one and 10.
0.0059
00.059
000.59
0005.9
5.9

N = 5.9
5.9 ×
10^(-x)

Since we moved the decimal to the right 3 times,
x = -3

5.9 ×
10^(-3)
^ the answer

Hope this helps! :)
User Wolfcastle
by
8.4k points