MATH SOLVE

4 months ago

Q:
# Need Help. How do i write a number in scientific notation

Accepted Solution

A:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^bFollow the steps below to see how 102,800,000 is written in scientific notation.

Step 1To find a, take the number and move a decimal place to the right one position.Original Number: 102,800,000

New Number: 1.02800000

Step 2Now, to find b, count how many places to the right of the decimal.New Number: 1.02800000

Decimal Count:1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3Building upon what we know above, we can now reconstruct the number into scientific notation.Remember, the notation is: a x 10^ba = 1.028 (Please notice any zeroes on the end have been removed)b = 8Now the whole thing:1.028 x 10^8Step 4Check your work:108 = 100,000,000 x 1.028 = 102,800,000Hope this helps! :)

Step 1To find a, take the number and move a decimal place to the right one position.Original Number: 102,800,000

New Number: 1.02800000

Step 2Now, to find b, count how many places to the right of the decimal.New Number: 1.02800000

Decimal Count:1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3Building upon what we know above, we can now reconstruct the number into scientific notation.Remember, the notation is: a x 10^ba = 1.028 (Please notice any zeroes on the end have been removed)b = 8Now the whole thing:1.028 x 10^8Step 4Check your work:108 = 100,000,000 x 1.028 = 102,800,000Hope this helps! :)