Q1.65P - Chemistry: Molecular Nature Of Matter And Change

Question

Convert the following into correct scientific notation: 

(a)  $\mathbf{14}\mathbf{.}\mathbf{3}\mathbf{\times }{\mathbf{10}}^{\mathbf{1}}$

(b) $\mathbf{851}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{2}}$

(c) $\mathbf{7500}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{3}}$

Step-by-Step Solution

Answer

The answer is,

(a) $1.43\times {10}^2$

(b) $8.51\times {10}^{-4}$

(c) $7.5\times {10}^{-6}$

Step 1: Scientific Notation

The scientific notation is used to represent very large or very small numbers using decimal points and powers. The correct scientific notation involves the use of decimal point after a single digit or a non- zero number.

Step 2: Subpart (a)

The  $14.3\times {10}^1$ can be written in correct scientific notation as $1.43\times {10}^2$. It involves the shifting of one digit to the right with respect to the decimal in the number.

Step 3: Subpart (b)

The $851\times {10}^{-2}$ can be written in correct scientific notation as $8.51\times {10}^{-4}$. It involves the shifting of two digits to the right with respect to the decimal point in the number.

Step 4: Subpart (c)

The $7500\times {10}^{-3}$ can be written in correct scientific notation as $7.5\times {10}^{-6}$. It involves the shifting of three digits to the left with respect to the decimal point in the number.