Solution - Scientific notation/Standard form
Step-by-step explanation
1. Write the number as a decimal
430516817.0
2. Make it a new number between 1 and 10
Move the decimal point to make 430516817.0 a new number between 1 and 10. Because our number is greater than 10, we move the decimal point to the left. Drop any trailing zeros and place the decimal point after the first non-zero digit. Keep track of how many times we move the decimal point.
430516817.0 -> 4.30516817
Our new number is 4.30516817. We moved the decimal point 8 times.
3. Define the power of 10
Because our original number was greater than 10, the power of 10 is positive. Remember, we moved the decimal point 8 times, so the exponent is positive 8:
4. Final result
How did we do?
Please leave us feedback.Why learn this
Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.