Answer:
4.69 x 10⁵
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 469,000
New Number: 4.69000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 4 . 6 9 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 = 4.69 (Please notice any zeroes on the end have been removed)
b = 5
Now the whole thing:
4.69 x 10⁵
Step 4
Check your work:
105 = 100,000 x 4.69 = 469,000
Answer: [tex]4.61 \times 10^5[/tex]
Reason:
The original number is 461,000 or 461000
Place a decimal point between the first two nonzero values. Erase the zeros and we get 4.61
To get back to 461000, we need to move the decimal point 5 spaces to the right. This is the exponent for the [tex]10^5[/tex] portion.
So [tex]461,000 = 4.61 \times 10^5[/tex]
