Question

Enter numbers to write 13,000 in scientific notation.

13,000=1.3 ×
=1.3×10

Answer 1

104 = 10,000 x 1.3 = 13,000

Explanation:

step 1

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

Original Number: 13,000

New Number: 1.3000

Step 2

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

New Number: 1 . 3 0 0 0

Decimal Count: 1 2 3 4

There are 4 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 = 1.3 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

1.3 x 104

Step 4

Check your work:

104 = 10,000 x 1.3 = 13,000