Units

In mathematics, units refer to the standard measurements used to quantify different attributes such as length, mass, volume, time, and more. Units help us quantify and compare different quantities in a standardized way.

Common Units:

1. Length:

Standard unit: meter (m)
Other units: centimeter (cm), kilometer (km), foot (ft), inch (in), yard (yd)

2. Mass:

Standard unit: gram (g) or kilogram (kg)
Other units: milligram (mg), ounce (oz), pound (lb)

3. Volume:

Standard unit: liter (L)
Other units: milliliter (mL), cubic meter (m³), gallon (gal), quart (qt)

4. Time:

Standard unit: second (s)
Other units: minute (min), hour (hr), day (d), week (wk)

Converting Units:

Converting between units involves multiplying or dividing by conversion factors. Here are some common conversion factors:

1 meter (m) = 100 centimeters (cm)

1 kilogram (kg) = 1000 grams (g)

1 liter (L) = 1000 milliliters (mL)

1 hour (hr) = 60 minutes (min)

Practice Problems:

1. Convert 3.5 meters to centimeters.

Answer: ```html 3.5 meters x 100 centimeters/meter = 350 centimeters ```

2. Convert 4500 grams to kilograms.

Answer: ```html 4500 grams ÷ 1000 grams/kilogram = 4.5 kilograms ```

3. Convert 2.75 liters to milliliters.

Answer: ```html 2.75 liters x 1000 milliliters/liter = 2750 milliliters ```

4. Convert 2.5 hours to minutes.

Answer: ```html 2.5 hours x 60 minutes/hour = 150 minutes ```

5. Convert 5.25 kilometers to meters.

Answer: ```html 5.25 kilometers x 1000 meters/kilometer = 5250 meters ```

Summary:

Units are essential in mathematics for measuring and comparing different quantities. Understanding units and being able to convert between them is important for solving various mathematical problems.

◂Math Worksheets and Study Guides Fifth Grade. Equivalent Fractions

Vocabulary/Answer key

Equivalent Fractions

Create And Print more Fractions worksheets with Comparing Fractions, Equivalent Fractions, and Simplifying Fractions

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Recognize and generate equivalent forms of commonly used fractions, decimals, and percents.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.