Answer
Verified
425.7k+ views
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 express the number by its place value. The place value other than units is 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 0.009. This is in the numeral form. The number is a decimal number.
Let we draw the place value table for the given number \[0.009\]
The number \[0.009\]written using the place value is
\[ \Rightarrow 0.009 = 0 \times 1 + 0 \times \dfrac{1}{{10}} + 0 \times \dfrac{1}{{100}} + 9 \times \dfrac{1}{{1000}}\]
The \[\dfrac{1}{{10}}\], \[\dfrac{1}{{100}}\], \[\dfrac{1}{{1000}}\], are the multiple of 10 and these numbers can be written in the form of exponent we have
\[ \Rightarrow 0 \times 1 + 0 \times {10^{ - 1}} + 0 \times {10^{ - 2}} + 9 \times {10^{ - 3}}\]
As we know that any number divide by zero the product will be zero so we have
\[ \Rightarrow 9 \times {10^{ - 3}}\]
The 1,000 is a multiple of 10 and it can be written in the form exponent we have
\[ \Rightarrow 0.09 = 9 \times {10^{ - 3}}\]
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.
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 0.009. This is in the numeral form. The number is a decimal number.
Let we draw the place value table for the given number \[0.009\]
Hundred100 | Tens10 | one1 | Decimalpoint | tenths\[\dfrac{1}{{10}}\] | Hundredths\[\dfrac{1}{{100}}\] | Thousandths\[\dfrac{1}{{1000}}\] |
0 | 0 | 0 | . | 0 | 0 | 9 |
The number \[0.009\]written using the place value is
\[ \Rightarrow 0.009 = 0 \times 1 + 0 \times \dfrac{1}{{10}} + 0 \times \dfrac{1}{{100}} + 9 \times \dfrac{1}{{1000}}\]
The \[\dfrac{1}{{10}}\], \[\dfrac{1}{{100}}\], \[\dfrac{1}{{1000}}\], are the multiple of 10 and these numbers can be written in the form of exponent we have
\[ \Rightarrow 0 \times 1 + 0 \times {10^{ - 1}} + 0 \times {10^{ - 2}} + 9 \times {10^{ - 3}}\]
As we know that any number divide by zero the product will be zero so we have
\[ \Rightarrow 9 \times {10^{ - 3}}\]
The 1,000 is a multiple of 10 and it can be written in the form exponent we have
\[ \Rightarrow 0.09 = 9 \times {10^{ - 3}}\]
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.
Recently Updated Pages
Identify the feminine gender noun from the given sentence class 10 english CBSE
Your club organized a blood donation camp in your city class 10 english CBSE
Choose the correct meaning of the idiomphrase from class 10 english CBSE
Identify the neuter gender noun from the given sentence class 10 english CBSE
Choose the word which best expresses the meaning of class 10 english CBSE
Choose the word which is closest to the opposite in class 10 english CBSE
Trending doubts
A rainbow has circular shape because A The earth is class 11 physics CBSE
Which are the Top 10 Largest Countries of the World?
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Change the following sentences into negative and interrogative class 10 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
What organs are located on the left side of your body class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE