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:
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
<em>There is an implied decimal point after 8. </em><em>(5008.)
</em>
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.
<em>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.
</em>
Therefore, in scientific notation, the number should be: <u>5.008 × 10³ km.
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LEARN MORE
- significant figures brainly.com/question/11905420
- standard notation brainly.com/question/296147
- operation in scientific notation brainly.com/question/169955
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<em>Keywords: scientific notation, exponential notation</em>