Question

How do you write 24 thousand in the scientific notation?

Answer 1

Hint:Here in this question the number is given in the word form and now we have to convert the number into a scientific notation or form. First, we write the number in the numeral and express the number by its place value. The place values other than units are the multiple of 10 we can write in terms of exponent.

Complete step by step explanation:

This question comes under the topic number system. The
numbers can be expressed in different ways but it has the same value. The number can be
written in the words form or in the numeral form or in the scientific form etc.
Here in this question, they have mentioned 24 thousand. This is in the word form. This can be
written in the numeral form as \[24,000\].
Let we draw the place value table for the given number \[24,000\]

The number \[24,000\]written using the place value is
\[ \Rightarrow 24,000 = 2 \times 10,000 + 4 \times 1,000 + 0 \times 100 + 0 \times 10 + 0 \times
1\]
The 10,000, 1,000, 100, 10 are the multiple of 10 and these numbers can be written in the form of
exponent we have
\[ \Rightarrow 2 \times {10^4} + 4 \times {10^3} + 0 \times {10^2} + 0 \times {10^1} + 0 \times 1\]
As we know that any number divide by zero the product will be zero so we have
\[ \Rightarrow 2 \times {10^4} + 4 \times {10^3}\]
Since in the question they have mentioned 24 thousand and this can be written as 24,000 in the
numeral form.
\[24,000 = 24 \times 1,000\]
The 1,000 is a multiple of 10 and it can be written in the form exponent we have
\[ \Rightarrow 24,000 = 24 \times {10^3}\]

Note: There are many different ways to express or to write the number or to express the number. The exponent form is defined as the number of times the number is multiplied by the number itself. The place value table of the number should be known to place the number in particular that position.