Q1.61P - Chemistry: Molecular Nature Of Matter And Change

Question

Write the following numbers in scientific notation: 

(a) 282.0

(b) 0.0380

(c) 4270.8

(d) 58,200.9

Step-by-Step Solution

Answer

The answer is,

(a)  $2.82\times {10}^2$

(b) $3.8\times {10}^{-2}$

(c) $4.2708\times {10}^3$

(d) $5.82009\times {10}^4$

Step 1: Scientific Notation

The scientific notation is the representation of numbers or digits that can be expressed in the form of powers of 10. The integers from 1 to 10 along with the decimal places and powers of 10 are in the standard representation of larger number of very small numbers.

Step 2: Subpart (a)

The number 282.0 can be written in scientific notation as $2.82\times {10}^2$. This involves the shifting of two digits to the right side of the decimal point.

Step 3: Subpart (b)

The number 0.0380 can be written in scientific notation as $3.8\times {10}^{-2}$. This involves the shifting of two digits to the left side of the decimal point.

Step 4: Subpart (c)

The number 4270.8 can be written in scientific notation as $4.2708\times {10}^3$. This involves the shifting of three digits to the right side of the decimal point.

Step 5: Subpart (d)

The number 58200.9 can be written in scientific notation as $5.82009\times {10}^4$. This involves the shifting of four digits to the right side of the decimal point.