200k views
4 votes
Convert 675000 to scientific notation

User Yshh
by
8.7k points

1 Answer

5 votes

Answer:

To convert 675000 to scientific notation, we need to express it in the form a × 10^n, where a is a number between 1 and 10 (but not 10 itself), and n is an integer.

Starting with 675000, we can divide by 10 repeatedly until we get a number between 1 and 10.

675000 ÷ 10 = 67500 (one division by 10)

67500 ÷ 10 = 6750 (two divisions by 10)

6750 ÷ 10 = 675 (three divisions by 10)

Now we have a number between 1 and 10 (namely, 6.75), and we know that we divided by 10 three times, so the exponent is -3.

Therefore, we can express 675000 in scientific notation as:

6.75 × 10^5

(Note that we could also express it as 6.75 × 10^2 × 10^3, but this is not in standard scientific notation, which requires the coefficient to be between 1 and 10.)

User Anthony Roberts
by
8.1k points