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Chapter 7: Q11. (page 430)

Express each number in scientific notation.

0.00000054

Short Answer

Expert verified

The required notation is represented by5.4脳10鈭�7.

Step by step solution

01

Step 1. Change the position of the decimal.

The provided number contains 5 as its first value that is not zero so change the position of the decimal and put that just after the first value.

00000005.4

02

Step 2. Calculate the value of n.

The required notation will be in the form of a脳10n in which a is representing the obtained number by changing the position of the decimal.

The value of n is represented by the count associated with the numbers that are present before the decimal.

The value of n will be negative as the decimal travelled in the right direction. So, write the required value associated with n.

n=鈭�7

03

Step 3. Write the required notation.

Substitute the obtained value of n into a脳10nwithout mentioning the zeros that are not required to write the required notation.

5.7脳10鈭�7

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