You are watching: 4,000,000 in scientific notation
1. compose the number as a decimal
2. make it a new number between 1 and 10
Move the decimal allude to make 4000000.0 a brand-new number in between 1 and also 10. Because our number is greater than 10, we relocate the decimal allude to the left. Drop any kind of trailing zeroes. Store track the how numerous times we relocate the decimal point.
4000000.0 -> 4
Our new number is 4. We moved the decimal allude 6 times.
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3. define the power of 10
Because our initial number was better than 10, the power of 10 is positive. Remember, we moved the decimal suggest 6 times, so the exponent is confident 6:
Scientific notation, or standard form, makes things less complicated when working v very tiny or very huge numbers, both of i m sorry come up frequently in the areas of science and also engineering. That is offered in science, because that example, to convey the mass of the heavenly bodies: Jupiter’s massive is kg, which is simpler to comprehend than composing the number 1,898 adhered to by 24 zeroes. Clinical notation also makes solving difficulties that usage such high or short numbers more straightforward.