# Comparing Bits & Pieces

### Study Guide Review

## Unit Description

*Comparing Bits and Pieces*is to help students deepen their understanding of equivalent fractions and build on this understanding as they explore ratios. They will become skillful at interpreting the different forms of a rational number, at knowing which form is most appropriate for the solution of a given problem, and at writing and interpreting ratios.

## What is a ratio?

**ratio**is a relationship between two numbers by division. Ratios can be represented with a colon (:), as a fraction, or with words (to, for every, per). For example, the ratio of girls to boys is 1 to 3, 1 girl for every 3 boys, or 1 girl per 3 boys.

A **unit rate **is a ratio that has a denominator of one because **unit **means one. Some examples of unit rates are miles per gallon, price per item, miles per hour, and words per minute.

## What are fractions?

**Fraction**are part of a whole. Fractions have a

**numerator**and a

**denominator**.

**Fraction to Decimal: **Create an equivalent fraction with **10 or 100** in the denominator. Read the fraction and write it as a decimal.

**Fraction to Percent: **Create an equivalent fraction with **100** in the denominator. Write the percent, the number in the numerator.

## What are decimals?

**Decimals**are part of a whole. Decimals are based on the number

**ten**. Decimals include a

**decimal point**.

**Decimal to Fraction: ****Read** the decimal and **write** the decimal as a fraction. The numerator is the number in the decimal and the denominator is the decimal place value.

**Decimal to Percent: **Scoop the decimal **two places to the right**. Write that number as your percent.

## What are percents?

**Percents**are part of a whole. Percents are ratios that are out of

**100**. Percents include a percent symbol %.

**Percent to Decimal: **Scoop the decimal **two places to the left**. Write your number as a decimal.

**Percent to Fraction: **Write the percent **over 100**.

## What are integers?

**Integers**are whole numbers and their opposites, including zero. Numbers to the

**right**of zero on the number line are

**increasing positive**integers. Numbers to the

**left**of zero on the number line are

**decreasing negative**integers.