The expression 3.14 x 103 is scientific notation for which of the following values?

Dear Johnson,

Answer to your query is provided below

The expression 3.14 x 10^3 is scientific notation for 3,140.

Step-by-step explanation:

The purpose of scientific notation is to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10^b

Follow the steps below to see how 3,140 is written in scientific notation.

Step 1

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

Original Number: 3,140

New Number: 3.140

Step 2

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

New Number: 3.140

Decimal Count: 123

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 10^b

a = 3.14 (Please notice any zeroes on the end have been removed)

b = 3

Now the whole thing:

3.14 x 10^3

Step 4

Check your work:

10^3 = 1,000 x 3.14 = 3,140

x=half

step-by-step explanation: