Question

How do you write 4500000 in the scientific notation?

Answer 1

Hint: Here in this question the number is given in the numeral 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 solution:
This question comes under the topic number system. The number can be expressed in many 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 4500000. This is in the numeral form.
Let we draw the place value table for the given number \[45,00,000\]

Ten lakhs10,00,000	Lakh1,00,000	Ten thousand10,000	Thousand1000	Hundred100	Ten10	Unit1
4	5	0	0	0	0	0

The number \[45,00,000\]written using the place value is
\[ \Rightarrow 45,00,000 = 4 \times 10,00,000 + 5 \times 1,00,000 + 0 \times 10,000 + 0 \times 1,000 + 0 \times 100 + 0 \times 10 + 0 \times 1\]
The 10,00,000, 1,00,000, 10,000, 1,000, 100, 10 are the multiply of 10 and these numbers can be written in the form of exponent we have
\[ \Rightarrow 4 \times {10^6} + 5 \times {10^5} + 0 \times {10^4} + 0 \times {10^3} + 0 \times {10^2} + 0 \times {10^1} + 0 \times 1\]
As we know that any number divide by zero the product will be zero so we have
\[ \Rightarrow 4 \times {10^6} + 5 \times {10^5}\]
Since in the question they have mentioned 45,00,000 in the numeral form.
\[45,00,000 = 45 \times 1,00,000\]
The 1,00,000 is a multiple of 10 and it can be written in the form exponent we have
\[ \Rightarrow 45,00,000 = 45 \times {10^5}\]

Note: There are different many 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 numbers should be known to place the number in particular that position.