Integer Exponents and Scientific Notation: example 10.76

Convert to decimal form: $6.2 \times 10^{3} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Convert to decimal form: $1.3 \times 10^{3} .$

How did it go?

Step 1: Determine the exponent, $n$ , on the factor 10.	$6.2 \times 10^{3}$
Step 2: Move the decimal point $n$ places, adding zeros if needed.
If the exponent is positive, move the decimal point $n$ places to the right. If the exponent is negative, move the decimal point $\| n \|$ places to the left.	6,200
Step 3: Check to see if your answer makes sense.
$10^{3}$ is 1000 and 1000 times 6.2 will be 6,200.	$6.2 \times 10^{3} = 6,200$

Step 1: Determine the exponent, $n$ , on the factor 10.	$6.2 \times 10^{3}$
Step 2: Move the decimal point $n$ places, adding zeros if needed.
If the exponent is positive, move the decimal point $n$ places to the right. If the exponent is negative, move the decimal point $\| n \|$ places to the left.	6,200
Step 3: Check to see if your answer makes sense.
$10^{3}$ is 1000 and 1000 times 6.2 will be 6,200.	$6.2 \times 10^{3} = 6,200$