# 4.5 Multiplicative Comparison and Measurement

## Unit Goals

- Students interpret, represent, and solve multiplicative comparison problems using an understanding of the relationship between multiplication and division. They use this thinking to convert units of measure within a given system from larger to smaller units.

### Section A Goals

- Analyze, describe, and represent multiplicative comparison situations.
- Solve one-step and two-step problems involving multiplicative comparison.

### Section B Goals

- Convert from larger units to smaller units within a given system of measurement.
- Solve multi-step problems involving multiplicative comparison and measurement.
- Understand the relative sizes of kilometers, meters and centimeters, liters and milliliters, kilograms and grams, and pounds and ounces.

### Section C Goals

- Solve multi-step problems involving multiplicative comparison and measurement.

### Glossary Entries

**common denominator**The same denominator in two or more fractions. For instance, \(\frac{1}{4}\) and \(\frac{5}{4}\) have a common denominator.**composite number**A whole number with more than 1 factor pair.**denominator**The bottom part of a fraction that tells how many equal parts the whole was partitioned into.**equivalent fractions**Fractions that have the same size and describe the same point on the number line. For example, \(\frac{1}{2}\) and \(\frac{2}{4}\) are equivalent fractions.**factor pair of a whole number**A pair of whole numbers that multiply to result in that number. For example, 5 and 4 are a factor pair of 20.**mixed number**A number expressed as a whole number and a fraction less than 1.**multiple of a number**The result of multiplying that number by a whole number. For example, 18 is a multiple of 3, because it is a result of multiplying 3 by 6.**numerator**The top part of a fraction that tells how many of the equal parts are being described.

**prime number**A whole number that is greater than 1 and has exactly one factor pair: the number itself and 1.**rounding**A formal way to say which number a given number is closer to. For example, for 182, the number 180 is the closest multiple of ten and 200 is the closest multiple of a hundred. We can round 182 to 180 (if rounding to the nearest ten) or 200 (if rounding to the nearest hundred).