Question

How do you write $ 1.5 \times {10^3} $ in standard form?

Answer 1

Hint:In this question we are asked to convert a number from its scientific form to standard form. To write the given number into standard form we will first exponent part into decimal and do the multiplication with the number part to get the given number in standard form. Standard form of a number is in which we usually write like $ 2,10,456 $ etc.

Complete step by step solution:
Let us try to solve this question, in this question we need to convert a
given number $ 1.5 \times {10^3} $ . The number is given into scientific notation and we need to convert it into standard form. Here is the step of converting a number from scientific notation to standard form.
4. First check the power of $ 10 $ .
5. Write exponent form of $ 10 $ into expanded form.
6. Multiply expanded form $ 10 $ with number part of scientific notation
Now let us apply the given steps to convert $ 1.5 \times {10^3} $ into standard form.
In $ 1.5 \times {10^3} $ power of $ 10 $ is positive and its power is $ 3 $ .
And we know that $ {10^3} $ is equal to $ 1000 $ . Since the power of $ 10 $ is positive, we will multiply it
with $ 1.5 $ to write it in standard form.
 $ 1.5 \times 1000 = 1,500 $

Hence the number $ 1.5 \times {10^3} $ can be written as $ 1,500 $ in the standard form.

Note: This type of questions are easy to do and are asked in exams as short type answer questions. If in place of positive power of $ 10 $ in the above question if we have negative power of $ 10 $ then we divide the number by $ 10 $ power to convert into standard form.