What is the number 5.1×10^7 written in decimal notation

1 answer

To write the number \( 5.1 \times 10^7 \) in decimal notation, you multiply 5.1 by \( 10^7 \), or ten million. That means you shift the decimal point 7 places to the right. When you do this, you add zeros to fill in the places where there are no digits.

So, \( 5.1 \times 10^7 \) written in decimal notation is:

51,000,000

You start with 5.1, and as you shift the decimal point seven places to the right, you get:

5.1 (starting point)
51 (1 shift)
510 (2 shifts)
5,100 (3 shifts)
51,000 (4 shifts)
510,000 (5 shifts)
5,100,000 (6 shifts)
51,000,000 (7 shifts, and your final answer)