Question

Write the following number into usual form: \[3.21 \times {10^5}\]?

Answer 1

Hint: Here in this question, we have to find the product of decimal and exponential numbers. So let us multiply decimal and exponential numbers which are different from one another and then we use the arithmetic operation that is multiplication and then we simplify.

Complete step by step solution:
The number which is present in the question is in the form of decimal. In the decimal number we have a decimal point. The exponential number is defined as a number of times the number is multiplied by itself. First we convert the decimal number by multiplying with the exponential number.
Now let us consider the decimal and exponential numbers and they are \[(3.21 \times {10^5})\]
The power of the number 10 is 5. So we have to multiply the number 10, 5 times. The above term is written as
\[ \Rightarrow 3.21 \times 10 \times 10 \times 10 \times 10 \times 10\]
On multiplying all the 10’s we have
\[ \Rightarrow 3.21 \times 100000\]
On multiplying the 3.21 and 100000 we have
\[ \Rightarrow 321000.00\]
We should not forget to place the decimal point.
After the decimal point we have the number zero, therefore we can neglect it and we write the term.
\[ \Rightarrow 321000\]
Therefore, the usual form of the number \[3.21 \times {10^5}\] is \[321000\].

Note:
Multiplication is one of the arithmetic operations. While multiplying the decimal numbers the decimal point is placed on some rule. If we multiply the two numbers which are decimals, we count the numbers after the decimal point from both the numbers and then after multiplication we place the decimal point.