How to convert numbers to percentage and angles exam separately

let's look at converting numbers to percentages and angles.

Converting Numbers to Percentages

To convert any number (decimal or fraction) to a percentage, you multiply the number by 100 and then add the percent symbol ($\%$). A percentage represents a fraction out of 100.

• Example 1: Converting a decimal to a percentage Convert 0.75 to a percentage.

  $$0.75 \times 100\% = \boxed{\text{75\%}}$$

• Example 2: Converting a fraction to a percentage Convert $\frac{3}{4}$ to a percentage. First, convert the fraction to a decimal:

  $$\frac{3}{4} = 0.75$$

  Then, multiply by $100\%$:

  $$0.75 \times 100\% = \boxed{\text{75\%}}$$

Converting Numbers to Angles (in a circle)

To convert a number representing a fraction or proportion of a whole into an angle (typically in degrees for a circle), you multiply that number by the total degrees in a full circle, which is $360^\circ$.

• Example 1: Converting a fraction of a circle to an angle Convert $\frac{2}{3}$ of a circle to an angle in degrees. Multiply the fraction by $360^\circ$:

  \frac{2}{3} \times 360^\circ = \frac{720^\circ}{3} = \boxed{\text{240^\circ}}

• Example 2: Converting a decimal proportion to an angle Convert 0.25 of a circle to an angle in degrees. Multiply the decimal by $360^\circ$:

  0.25 \times 360^\circ = \boxed{\text{90^\circ}}