Question

5,820 in scientific notation

Answer 1

Answer: 5.82 × 10³

Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so there is only one digit to the left of the decimal point.

5,820 → 5.820

Next, count the number of places the decimal point would need to move to get back to the original number. In this case, we would need to move the decimal point three places to the right to get back to our original number.

Finally, we can drop all the zeroes that are at the end of our number.

Therefore, 5,820 in scientific notation would be 5.82 × $10^{3}$.

Answer 2

Answer:

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 5,820

New Number: 5.820

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 5 . 8 2 0

Decimal Count:   1 2 3

There are 3 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 = 5.82 (Please notice any zeroes on the end have been removed)

b = 3

Now the whole thing:

5.82 x 103

Step 4

Check your work:

103 = 1,000 x 5.82 = 5,820