Answer

Verified

382.8k+ views

**Hint:**The purpose of scientific notation was developed in order to easily represent numbers that are either very large or very small. We can convert them to their standard form also. We first find the relation between MPa and KPa and then use the decimal point in $2.266$ and move it rightwards. To compensate for that we have to multiply the new number with 10 taken from ${{10}^{9}}$. The multiplied form is the standard form of the given number.

**Complete step-by-step solution:**

The abbreviation for the terms MPa and kPa stands for mega-pascal and kilo-pascal for unit of pressure.

We know that 1 MPa is equal to ${{10}^{3}}$ KPa.

So, converting $2.266$ MPa to kPa, we get $2.266\times {{10}^{3}}$ KPa.

For the given number we move the decimal to the right side one position and bring one zero if there is no such number to cross each time. The decimal keeps going towards right till the power of the 10 becomes 0 from 3. The more we move to the right, the more we multiply with 10.

We explain the first two steps. The decimal starts from its actual position in $2.266$.

Now it crosses the 2 after decimal in $2.266$ which means we have to multiply 10.

So, $2.266$ becomes $22.66$ and ${{10}^{3}}$ becomes ${{10}^{3}}\times {{10}^{-1}}={{10}^{2}}$

Now in the second step the point crosses the first 6 in $22.66$. So, $22.66$ becomes $226.6$ and ${{10}^{2}}$ becomes ${{10}^{2}}\times {{10}^{-1}}={{10}^{1}}$.

Now in the third step the point crosses the last 6 in $226.6$. So, $226.6$ becomes 2266 and 10 becomes ${{10}^{1}}\times {{10}^{-1}}=1$. So, $2.266\times {{10}^{3}}=2266$

Thus, $2.266$ MPa is equal to $2266$ kPa.

**Note:**In every case where we don’t have any digit to cross or the decimal has reached the rightmost position, we bring an extra 0. For example, in the process when we got $7121$ from $7.121$, we considered $7121$ as $7121.0$ and continued the process. We can start the process with taking extra zeroes at the rightmost position also.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which places in India experience sunrise first and class 9 social science CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE