Write 7.61 x 10^6 in decimal form

Question

I know I got 7610000 but I don’t know where the decimal goes can you help?

Answer 1

to write this is decimal form the exponent of 6 is negative so 7.16 x 10^-6 is appropriate. As for where the decimal goes it depends on the place value system. if you move the decimal place once to the right you get 71.6 which is the 10th place and if you move ir again to the right you get 716 which is in the hundreds place and this clearly demonstrates a place value system that multiplies by 10 each time the decimal is moved to the right. To convert this into a decimal you will need to move the dot to the left six times which will divide the number 7.16 by 1 six times just like moving the decimal place to the right had this number be multiplied by 10 three times. So you will get 0.00000716 or 716 hundred millionths of a number since you divided this number by 10 six times.

Answer 2

The exponent on the 10 is a 6.

The decimal moves 6 places to the right.