Answer

Verified

373.2k+ views

**Hint:**In order to write the given question $150$ into its scientific notation then , we need to first understand the term ‘ scientific notation ‘ . Scientific Notation is written in the form of $a \times {10^n}$ , where $1 \leqslant a < 10$ that is we can say the number has a single digit to the left of the decimal point where n is an integer . And the multiplication of a decimal by tens , hundreds and thousands or etc. itself means that the decimal will be moved to the right side by as many as the number of zeroes are there in the multiplier .

If suppose that the decimal number having less digits after the decimal than the multiplier ( or the number of zero is more ) , then the extra zeroes must be added to the final answer as it is . If the decimal is being moved to the right, the exponent will be negative . By following these steps we can find the desired result of writing decimal when multiplying and making it in standard form .

**Complete step by step solution:**

We have given a number in the form $150$ where there is no decimal . Here, in this question we have to convert into scientific notation by inserting a decimal such that there is only a single digit to the left of the decimal point .

So , to calculate the scientific notation of the given , we have to first just sort that there must be a single digit to the left of the decimal point . Also remember that any number for example – 150 is a number can also be expressed as 150.0 in the form of decimal .

In order to do that we need to move the decimal point to the left side until one digit that 1 comes to the left of the decimal and 5 comes to the right of the decimal point .

Now the decimal point moves two places to the left from $150$ to $1.50$ . But now the multiplier just used 2 zeroes to overcome the decimal and so we can write in scientific notation we have the ${10^2}$ , as we know the fact that states If the decimal is being moved to the left , the exponent will be positive . That is now we have 2 zeros after moving decimal to left and the exponent becomes ${10^2}$ .

**Hence , the result is $1.5 \times {10^2}$ as we moved the decimal 2 places to the left .**

**Note:**

1. Do not Forget to verify the end of the result with the zeroes. If you multiply a decimal with 10 , then the decimal point will be moved to the right side by 1 place

2. If you multiply a decimal with 100 , then the decimal point will be moved to the right side by 2 places .

3. If you multiply a decimal with 1000 , then the decimal point will be moved to the right side by 3 places .

4. If the decimal number has less digits after the decimal than the multiplier ( or the number of zero is more ) , then the extra zeroes must be added to the final answer as it is . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive .

Also remember that any number for example – 150 is a number can also be expressed as 150.0 in the form of decimal .

Recently Updated Pages

The base of a right prism is a pentagon whose sides class 10 maths CBSE

A die is thrown Find the probability that the number class 10 maths CBSE

A mans age is six times the age of his son In six years class 10 maths CBSE

A started a business with Rs 21000 and is joined afterwards class 10 maths CBSE

Aasifbhai bought a refrigerator at Rs 10000 After some class 10 maths CBSE

Give a brief history of the mathematician Pythagoras class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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

Name 10 Living and Non living things class 9 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE