Rules for Converting Units

Slides:



Advertisements
Similar presentations
Study Guide. a) Has a whole number part & a fraction part b) The answer to a division problem c) For example, 2 1/2 d) Both A and C.
Advertisements

Using the Conversion Factor
Using the Conversion Factor
8-1 Converting Customary Units Learn to convert customary units of measure.
Converting Customary Units
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Converting Customary Measurement Units
Rational Expressions To add or subtract rational expressions, find the least common denominator, rewrite all terms with the LCD as the new denominator,
5 Minute Check Simplify
Dimensional Analysis Also called factor label method.
Using the Conversion Factor
* A ratio is a comparison of two quantities by division. Ratios like 1 out of 2 can be written as 1:2, ½, or 1 to 2. * When ratios compare a number to.
Rational Expressions.
Sec. 9-4: Rational Expressions. 1.Rational Expressions: Expressions (NOT equations that involve FRACTIONS). We will be reducing these expressions NOT.
Splash Screen. Over Lesson 6–2 5-Minute Check 1 Fill in the blanks: 1 km = ______________m 1 m = ______________cm 1 m = ______________ mm 1cm = ______________.
Operations with Positive Fractions
RATIOS AND PROPORTIONS
EQ: How do you use standard ratio notation for expressing ratios? (3:5, 3 to 5, 3/5) OBJ: 1.01.
Dimensional Analysis I A Year-Long (and Hopefully Longer) Tool for Problem Solving.
Dimensional Analysis. Measurement Ratios In order to use dimensional analysis, you have to understand that you need to use ratios that have a value of.
1. Ratio: A comparison of 2 numbers by division. i.e.a to b a:ba/b 2. Rate: When a ratio is made up of DIFFERENT units. i.e.3in/4ft$2/5 days UNIT RATE:
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.
SOLVING AND APPLYING PROPORTIONS
Simplify, Multiply & Divide Rational Expressions.
Chemistry Notes: Dimensional Analysis.  In Chemistry and every-day life you will often need to express a measurement using a different unit than the.
Using unit multipliers to convert measures converting mixed unit to single unit measures Lesson 52 power up k page 354.
Fill in the Missing Numbers 1 foot = _____ inches 1 meter = _____ centimeters 1 pound = _______ ounces 1 minute = ______ seconds 1 hour = ________ minutes.
Multiplying Algebraic Fractions Review multication of fractions Steps: 1). Factor all numerators and denominators completely 2). Cancel terms, if possible.
Changing Customary Units You can multiply and divide using the relationships below to change from one customary unit to another. Length Changing Customary.
CONVERSION & DIMENSIONAL ANALYSIS “FACTOR” OR UNIT “LABEL” METHOD.
Chapter 1.3 Conversion Factors and Unit Cancellation.
X = Unit you want to change Unit you are changing into Conversion Factor 1.Start with the unit you want to change. 2.Multiply it by a blank fraction. 3.The.
 A technique for solving problems of conversions.
Converting Customary Units. Common Customary Measurements LengthWeightCapacity 1 foot = 12 inches1 pound = 16 ounces1 cup = 8 fluid ounces 1 yard = 36.
“Easy” Mental Conversions How many inches in a foot? How many seconds in a minute? How many centimeters in a meter?
Dimensional Analysis. What is Dimensional Analysis? Have you ever used a map? Since the map is a small-scale representation of a large area, there is.
Warm Up Simplify the following For questions 1-3, State whether your answers are rational or irrational numbers.
Solving a Proportion by “Cross” Multiplying
Using the Conversion Factor
Unit you are changing into
Using the Conversion Factor
Dimensional Analysis Definition
Converting Customary Units
Fill in the Missing Numbers
Dimensional Analysis.
Math Review - 2.
Using the Conversion Factor
Using the Conversion Factor
Using the Conversion Factor
Ratios 4 Possible Ways to Write a Ratio #1
In this tutorial you will be able to follow along step by step on how to solve basic operations involving fractions.
Equivalent ratios.
Lesson 3.1 How do you solve one-step equations using subtraction, addition, division, and multiplication? Solve one-step equations by using inverse operations.
Using the Conversion Factor
Warm-up 15 August 2017  .
Complex Fractions and Review of Order of Operations
Using the Conversion Factor
Dimensional Analysis.
Dimensional Analysis I
Using the Conversion Factor
Dividing Decimals Whole Number Divided by a Decimal 1 ÷ 0.2 = ?
Using the Conversion Factor
Problem-Solving Strategy for Unit Conversions
Problem: How many feet are there in 78 inches? Solution:
Direct Conversions Dr. Shildneck.
Algebra 1 Section 3.2.
Ratio and Proportion.
Chapter 7-1 Ratios and Rates
Presentation transcript:

Rules for Converting Units Units cancel in division. Units combine in multiplication. Units stay the same in addition and subtraction.

What is a Conversion Factor? A ratio written in fraction form that can express the same value or quantity in two different units. Conversion Factors are going to essentially equal one. Any number multiplied by one does not change.

Assignment Come up with 5 conversion factors not mentioned on the previous slide.

Steps to Converting Units Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator. Insert the values for your conversion factor. Solve the problem.

How many inches are there in 50 feet? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem.

How many inches are there in 50 feet? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem. 12 = 600 50 x in in ft 1 ft

How many feet is 744 inches? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem.

744 How many feet is 744 inches? in Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem. 744 in

744 x How many feet is 744 inches? in Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem. 744 x in

= 744 x How many feet is 744 inches? ft ft in in Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem. = 744 x ft ft in in

= 1 744 12 x How many feet is 744 inches? ft ft in in Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem. 1 = 744 x ft ft in 12 in

= 1 62 744 12 x How many feet is 744 inches? ft ft in in Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem. 1 = 62 744 x ft ft in 12 in

Unit you are changing into Unit you want to change Unit you are changing into = x Conversion Factor

How many seconds are 40 minutes? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem. 2400

How many seconds are 40 minutes? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator and answer. Insert the values for your conversion factor. Solve the problem. = 2400 x

How many cups are in 4.5 gallons? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator. Insert the values for your conversion factor. Solve the problem. 2400

How many eggs are in 15 dozen? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator. Insert the values for your conversion factor. Solve the problem. 2400

How many dozen is 89 eggs? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator. Insert the values for your conversion factor. Solve the problem. 2400

How many seconds are in 3 hours? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator. Insert the values for your conversion factor. Solve the problem. 2400

A swimming pool holds 10,000 gallons of water and one gallon of water weighs 8lbs. What is the weight of the water in the pool? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator. Insert the values for your conversion factor. Solve the problem. = 2400 x

How many seconds are in 3 hours? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator. Insert the values for your conversion factor. Solve the problem. 2400

How many seconds are in 3 hours? Start with the unit you want to change. Multiply it by a blank fraction. The unit you want to change goes in the denominator. The unit you want to convert into goes into the numerator. Insert the values for your conversion factor. Solve the problem. 3 Hours  Minutes That number of Minutes  Seconds 2400

Assignment Unit Conversions Handout 2400