Question

Express $1.5 \times {10^{ - 4}}$ in standard form?

Answer 1

Hint: Given the number in scientific notation. We have to write this number in standard form. First, we will identify that the exponent of the number is positive or negative. If the exponent is positive, then the number is large but if the exponent is negative then the number is small which lies between zero and one. Then, we will write the number in standard form by shifting the decimal point to the number of places according to the exponent. If the exponent is positive, then this shifting of a decimal is done to the right side of the starting number, otherwise, if the exponent is negative then it will move to the left.

Complete step by step answer:
We are given the term in scientific notation. First we will find the exponent of the number $ - 4$

Now, the exponent is negative which means the number in standard form lies between $0$ and $1$

Now, move the decimal of the number $1.5$ to four places to the left by adding zeros to the left hand side of the number.
$0.00015$

Additional information:
The scientific notation of a number is basically used to represent the number in the form of the exponent to the base $10$. The first number that is used while writing the scientific notation is generally called the coefficient of the number which lies between one to $10$

Note: Other method to solve is: $1.5 \times 10^{−4}$
$\Rightarrow 1.5 \times \left(\dfrac{1}{10000}\right)$
$\Rightarrow \dfrac{1.5}{10000}$​
$\Rightarrow 0.0015$