convert 278000 into scientific notation
Physics · Middle School · Wed Jan 13 2021
Answered on
To convert the number 278,000 into scientific notation, follow these steps:
1. Place the decimal point in the number after the first nonzero digit. For 278,000, the first nonzero digit is '2', so you would place the decimal after it, which gives you "2.78".
2. Count how many places you moved the decimal point. To get from 278,000 to 2.78, you moved the decimal point 5 places to the left.
3. Write the number as a multiplication of the number you got in step 1 and 10 raised to the power of the number of places you moved the decimal point in step 2. Since you moved the decimal point 5 places, the exponent will be 5.
4. Combine everything to express the original number in scientific notation. Following these steps for 278,000 gives us:
278,000 = 2.78 x 10^5
So, the number 278,000 in scientific notation is 2.78 x 10^5.