Changing the Units of Measurement

Slides:

Advertisements

Similar presentations

Dimensional Analysis.

Advertisements

CLINICAL CALCULATIONS

DRUG CALCULATIONS MAKING IT EASY .

Imagine This! You’re driving along a highway in Mexico when you notice this sign What should your speed be in miles per hour?

Fractions, Decimals, & Percent Conversions

Dimensional Analysis Problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value A BIT.

Chapter 2 “Scientific Measurement”

Using Conversion Factors in Unit Analysis (Dimensional Analysis) Problem-solving method that uses the fact that any number or expression can be multiplied.

+ Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check whether two.

Practice Using the Factor-label Method

Dimensional Analysis Converting units from one unit to another.

Lesson 1.06 Unit Conversion.

Simplifying Fractions 3-5. Lesson 1 – Equivalent Fractions I can use multiples to write equivalent fractions. I can use factors to write equivalent fractions.

Calculations Pharmacology.

Unit 6: Stoichiometry Section 1: Chemical Calculations.

The following lesson is one lecture in a series of Chemistry Programs developed by Professor Larry Byrd Department of Chemistry Western Kentucky University.

Clinical calculations Number systems: –Arabic –Roman.

Chapter 8 Mathematical Calculations Used in Pharmacology Copyright © 2013, 2010, 2006, 2003, 2000, 1995, 1991 by Mosby, an imprint of Elsevier Inc. 1.

Using the Factor Label Method. 34,000,000 = 7.29 x 10 5 = = 5.6 x = 3.4 x , x

Fractions, Decimals, and Percents. Percents as Decimals To write a percent as a decimal, divide by 100 and remove the percent symbol. Example 1: 63% 63.

Using the Factor Label Method. “That costs five.”

Name: Unit Analysis.

m = 1 ___a) mm b) km c) dm g = 1 ___ a) mg b) kg c) dg L = 1 ___a) mL b) cL c) dL m = 1 ___ a) mm b) cm c) dm Learning.

The following lesson is one lecture in a series of Chemistry Programs developed by Professor Larry Byrd Department of Chemistry Western Kentucky University.

DIMENSIONAL ANALYSIS (also known as Factor-Label Method)

Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)

Chapter 7: Unit Conversions (Proportion method) If a student weighs 80 kg, how much does he weigh in pounds? Step 1. Find a conversion factor that relates.

How can we convert units?.  Every measurement needs to have a value (number) and a unit (label).  Without units, we have no way of knowing what the.

Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, × = 54.

Unit 23 Mass or Weight Measurement. Basic Principles of Mass or Weight Measurement In the English or household system, the units for mass or weight measurement.

Copyright © 2009 Wolters Kluwer Health | Lippincott Williams & Wilkins Chapter 11 Dimensional Analysis.

Mullis1 GETTING FROM ONE UNIT TO ANOTHER: Dimensional Analysis aka. Factor Labeling Method.

Math Concepts How can a chemist achieve exactness in measurements? Significant Digits/figures. Significant Digits/figures. Sig figs = the reliable numbers.

CONVERSION & DIMENSIONAL ANALYSIS “FACTOR” OR UNIT “LABEL” METHOD.

Conversions % Multiply by a special form of 1 Divide 2 by 5

Metric to English and Vice-versa. Unit Conversion What if you are given a measurement with certain unit and you need to express that same measurement.

 A technique for solving problems of conversions.

Dimensional Analysis (a.k.a “Conversions”)

1 Chapter 1 Lecture Outline Prepared by Andrea D. Leonard University of Louisiana at Lafayette Copyright © McGraw-Hill Education. Permission required for.

Dimensional Analysis.

Converting units from one unit to another

Finding Proportions using Cross Multiplication

Dimensional Analysis.

3 - Units Other Than Length

1000 m = 1 km 100 m = 1 hm 10 m = 1 dam 1 m = 1 m 10 dm = 1 m

Introduction to Pharmacology

Imagine This! You’re driving along a highway in Mexico when you notice this sign What should your speed be in miles per hour?

Dimensional Analysis In which you will learn about: Conversion factors

Bell Ringer 10/10/11 You need a calculator today!

(from a) gram (g) liter (L) meter (m)

Section 1: Chemical Calculations

Conversion Factors Dimensional Analysis Lots of Practice

What is Dimensional Analysis?

Fractions IV Equivalent Fractions

Conversions between Standard and Metric Systems

The Metric System Seo Physics.

METRIC CONVERSION.

Equivalent Fractions.

SL#14 How to use Conversion Factors (a.k.a. Dimensional Analysis)

Single-Factor Dimensional Analysis

Which fraction is the same as ?

Equalities State the same measurement in two different units length

Conversions: Metric and Household Systems

Multiplying fraction and whole number

Problem-Solving Strategy for Unit Conversions

Direct Conversions Dr. Shildneck.

Using the dimensional analysis method

Finding Proportions using Cross Multiplication

Equivalent Fractions.

Presentation transcript:

Changing the Units of Measurement Dimensional Analysis Changing the Units of Measurement

Steps for solving a dimensional analysis problem: Read the entire problem. Identify what you have to start with. Find what units you need to convert into. Set up your starting value as a fraction with unit(s) on the left. Set up your ending unit(s) on the far right (after the equal sign).

Steps for solving a dimensional analysis problem continued: Identify a conversion factor that will get you closer to your goal. Orient the values with units so that cancellation of the units will be possible. Continue with new conversion factors until only the desired unit(s) remain.

Steps for solving a dimensional analysis problem continued: Multiply all the numerators together and divide by all the denominators. Double-check that your cancellation has always been done in pairs. Verify the final unit(s) are what you need.

Example #1 16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories? = ______g

Example #1 16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories? = 264.6 g

Example #2 A person’s weight is 154 pounds. Convert this to kilograms. (1 lbs. = 454 grams) = kg

Example #2 A person’s weight is 154 pounds. Convert this to kilograms. (1 lbs. = 454 grams) = 69.9 kg

Example #3 An aspirin tablet contains 325 mg of acetaminophen. How many grains is this equivalent to? (1 gram = 15.432 grains) = __grains

Example #3 An aspirin tablet contains 325 mg of acetaminophen. How many grains is this equivalent to? (1 gram = 15.432 grains) = 5 grains

Example #4 Each liter of air has a mass of 1.80 grams. How many liters of air are contained in 2.5 x 103 kg of air? = ________Liters

Example #4 Each liter of air has a mass of 1.80 grams. How many liters of air are contained in 2.5 x 103 kg of air? = 1,388,889Liters