express the following number in scientific notation 480000000 please ans step by step
Answers
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 480,000,000
New Number: 4.80000000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 4 . 8 0 0 0 0 0 0 0
Decimal Count: 1 2 3 4 5 6 7 8
There are 8 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 = 4.8 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
4.8 x 108
Step 4
Check your work:
108 = 100,000,000 x 4.8 = 480,000,000
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4.79999998 x 108 4.79999999 x 108