Answer :
7.8 times 10^5
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 780,000
New Number: 7.80000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 7 . 8 0 0 0 0
Decimal Count: 1 2 3 4 5
There are 5 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 7.8 (Please notice any zeroes on the end have been removed)
b = 5
Now the whole thing:
7.8 x 10^5
Step 4
Check your work:
10^5 = 100,000 x 7.8 = 780,000
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 780,000
New Number: 7.80000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 7 . 8 0 0 0 0
Decimal Count: 1 2 3 4 5
There are 5 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 7.8 (Please notice any zeroes on the end have been removed)
b = 5
Now the whole thing:
7.8 x 10^5
Step 4
Check your work:
10^5 = 100,000 x 7.8 = 780,000
780,000 (seven hundred eighty thousand) is an even six-digits composite number following 779999 and preceding 780001. In scientific notation, it is written as 7.8 × 105.