Fractions, Decimals, Percents, and Rounding Rules

Converting Fractions and Decimals

• Converting Fractions to Decimals:

  • Divide the numerator by the denominator ($\text{Numerator} \div \text{Denominator}$).

• Converting Decimals to Fractions:

  • Decimals can be calculated and converted back into fractional parts.

Percentage Conversions

• Definition of Percent:

  • Percents are values defined as parts out of $100$

• Converting Percents to Decimals:

  • Divide the given percentage value by $100$ ($\text{Percent} \div 100$).

Classifications of Decimal Numbers

• Terminating Decimals:

  • Decimal numbers that stop and have a finite number of digits.

• Repeating Decimals:

  • Decimal numbers that contain digits or patterns of digits that repeat forever without stopping.

Rules for Rounding Decimals

• Locating the Rounding Digit:

  • Identify the target place value to be rounded.

  • Look directly behind (to the immediate right of) the target place value digit.

• Rounding Down / Staying the Same:

  • If the digit directly behind the target place value is less than $5$ ($0$, $1$, $2$, $3$, or $4$), the target place value number stays the same.

• Rounding Up:

  • If the digit directly behind the target place value is $5$ or greater ($5$, $6$, $7$, $8$, or $9$), round the target place value number up.

Calculator Usage

• Calculators are used to carry out division operations for converting fractions to decimals, converting percentages, and executing rounding procedures.