Question

How do you write $3.015 \times {10^3}$in standard form?

Answer 1

Hint: Here we will expand the number with the decimal and the number of tens having the power of three and will find the product. The simplified form of the product will be our required resultant answer.

Complete step-by-step solution:
Step 1: Observe the given number and power of $10$
Here given that the power to \[10\] is $(3)$
Step 2: Write as the product or multiplication of$10$ three times.
$3.015 \times {10^3} = 3.015 \times 10 \times 10 \times 10$
Step 3: Do the multiplication by $10$ one at a time
\[
  3.015 \times {10^3} = 30.15 \times 10 \times 10 \\
  3.015 \times {10^3} = 301.5 \times 10 \\
  3.015 \times {10^3} = 3015 \\
 \]

Alternative Method:
Step 1: Since the given power is positive.
Step 2: Simply move the decimal point from the left hand side of the number to the right hand side of the number. Here given power is three so move three points.
Therefore, \[3.015 \times {10^3} = 3015\]

Note: Also, remember the difference between the ordinary number and ordinal number. Ordinal number is the number which tells the position of the object or something in the list. For Example first, second, third, etc. It simply tells us the rank or the position of something in the group.

Whereas, the ordinary numbers are the numbers which include whole numbers, rational, irrational numbers and real and imaginary numbers. In case of having positive power to ten, simply write zeros after the number. If number two is given to the power ten, then write two zeros after the number.

In other words, if the power to ten is positive then move the decimal point to the right hand side of the equation and if the power is negative then move towards the left hand side of the number.