Answer
Verified
413.4k+ views
Hint: To write the number in standard form, take the decimal at the place just next to the greatest place value digit and the number of places you have jumped to take the decimal to that place is written as the exponent of 10.
Complete step-by-step answer:
First we have to understand, what is the meaning of writing a number in standard form? A standard form is a way of writing down very large or very small numbers easily. For example: ${{10}^{4}}=10000$, so $5\times {{10}^{4}}=50000$. Therefore, 50000 can be written as $5\times {{10}^{4}}$. This idea can be used to write even large numbers in standard form easily.
Small numbers can also be written in standard form. However, instead of the index being positive, it will be negative. Let us take a few examples. We have to write 534490000 in standard form. So, $534490000=5.3449\times {{10}^{8}}$, it is ${{10}^{8}}$ because the decimal point has been moved 8 places to the left to get the required standard form. Let us take another example, to write 0.000045 in standard form. So, $0.000045=4.5\times {{10}^{-5}}$, it is ${{10}^{-5}}$ because the decimal point has been moved 5 paces to the right to get the required standard form.
Now, let us come to the question. We have been provided the number, 3430000. Therefore, the standard form is, $3430000=3.43\times {{10}^{6}}$, here, we have moved 6 places to the left.
Hence, the standard form of 3430000 is $3.43\times {{10}^{6}}$.
Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form. Those numbers that are too big or too small are written in standard form to make calculations easy.
Complete step-by-step answer:
First we have to understand, what is the meaning of writing a number in standard form? A standard form is a way of writing down very large or very small numbers easily. For example: ${{10}^{4}}=10000$, so $5\times {{10}^{4}}=50000$. Therefore, 50000 can be written as $5\times {{10}^{4}}$. This idea can be used to write even large numbers in standard form easily.
Small numbers can also be written in standard form. However, instead of the index being positive, it will be negative. Let us take a few examples. We have to write 534490000 in standard form. So, $534490000=5.3449\times {{10}^{8}}$, it is ${{10}^{8}}$ because the decimal point has been moved 8 places to the left to get the required standard form. Let us take another example, to write 0.000045 in standard form. So, $0.000045=4.5\times {{10}^{-5}}$, it is ${{10}^{-5}}$ because the decimal point has been moved 5 paces to the right to get the required standard form.
Now, let us come to the question. We have been provided the number, 3430000. Therefore, the standard form is, $3430000=3.43\times {{10}^{6}}$, here, we have moved 6 places to the left.
Hence, the standard form of 3430000 is $3.43\times {{10}^{6}}$.
Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form. Those numbers that are too big or too small are written in standard form to make calculations easy.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Which type of bond is stronger ionic or covalent class 12 chemistry CBSE
What organs are located on the left side of your body class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
When people say No pun intended what does that mea class 8 english CBSE