Answer:
5.1 x 102 in scientific notation
Step-by-step explanation:
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease. Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10bStep 1
step1: To find a, take the number and move a decimal place to the right one position.
Original Number: 510
New Number: 5.10
step 2: Now, to find b, count how many places to the right of the decimal.
New Number: 5 . 1 0
Decimal Count: 1 2
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 = 5.1 (Please notice any zeroes on the end have been removed)
b = 2
Now the whole thing:
5.1 x 102
Step 4:
Check your work:
102 = 100 x 5.1 = 510