Chemistry, 21.09.2019 05:30 purplebandit96

The expression of 5008 km in scientific notation is

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Answer from: Adolfosbaby

In scientific notation, 5008 km is equal to 5.008 ×10³ km.

FURTHER EXPLANATION

Scientific notation is a way of expressing very big or very small numbers conveniently and with the appropriate number of significant figures. The general expression for the scientific notation is shown below:

$\boxed {M \ x \ 10^x}$

M is a number that is greater than or equal to 1 but less than 10 and x is the number of times you have to multiply M by 10 to get the number.

The value of x can be easily determined by looking at the decimal point and counting the number of times it is moved to the left or to the right until a proper value of M is obtained.

The steps are as follows:

Locate the decimal point in the given. If it's a whole number, there is an implied decimal point at the end or to the right of the last digit. Move the decimal point to the right or to the left until you get a number that is greater than or equal to 1 but less than 10. This will be the value of M. Count how many decimal places you moved through to get the value of M. This will be the numerical value of the exponent, x.

NOTE: If the decimal point was moved to the left, then the

exponent x will be written as positive (+x).

If the decimal point was moved to the right, then the

exponent x will be written as negative (-x).

Applying the steps to the problem:

STEP 1: 5008 km

There is an implied decimal point after 8. (5008.)

STEP 2: To get a number that is greater than or equal to 1 but less than 10, the decimal place must be moved to the left until it is found after the digit 5. (5.008)

STEP 3: Determine the exponent.

Since the decimal point was moved to the left it will be positive (+). It was moved 3 places to the left so the exponent should be +3.

Therefore, in scientific notation, the number should be: 5.008 × 10³ km.

LEARN MORE

significant figures standard notation operation in scientific notation

Keywords: scientific notation, exponential notation

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