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© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Large and small Planet Jupiter
© Nuffield Foundation 2011 This activity shows the best way to work with very large and very small numbers like these. Large and small Think about… how to work out the mass of an electron or how many protons there are in 1kg Think about… how to work out Jupiter’s surface area Jupiter’s surface area = 4 r 2 where r = metres Image by STScI for NASA Image by NASA/Goddard Space Flight Center Scientific Visualization Studio Atomic particles The mass of a proton is g This is 1836 times as heavy as an electron
© Nuffield Foundation 2011 Powers of – 1 10 – 2 10 – 3 Any number to the power 0 is equal to 1. Think of a negative in the power as “1 over”. Other examples 10 6 = = 10 10 10 10 10 –9 = = =
© Nuffield Foundation 2011 Standard form - a useful way of writing very large and very small numbers Distance from the Sun to Pluto metres Examples Mass of the Earth kilograms = 5.9 metres = 6 kilograms Think about… how to convert from one form to the other
© Nuffield Foundation 2011 The wavelength of blue light metres Examples Mass of an atom of gold grams = 7.2 10 –7 metres = 3 10 –22 grams The time between collisions of molecules in a gas seconds = 2 10 –10 metres Think about… how to convert from one form to the other
© Nuffield Foundation 2011 Standard form a 10 n where a is between 1 and 10 and n is a positive or negative integer = = = = = Try these 4 10 – 10 –7 7.3 10 –23 =
© Nuffield Foundation 2011 Calculating in standard form Use the EXP (or EE or 10 x ) key on a calculator 4.5 10 3 Examples 7.1 10 –5 Press 4.5 EXP 3 Press 7.1 EXP (-) 5 When you write down answers, remember the 10
© Nuffield Foundation 2011 Calculating in standard form = 8 10 9 or =4 10 3 or 4000 = 4.08 10 –3 or Try these (4 10 3 ) (2 10 6 ) (8 10 9 ) (2 10 6 ) (4 10 –3 ) + (8 10 –5 ) (7 10 5 ) – (9 10 4 ) = 6.1 10 5 or
© Nuffield Foundation 2011 Light split into its different colours by a prism Very large and very small
© Nuffield Foundation 2011 Large and small At the end of the activity Can you explain why: a2.42 10 4 = b2.42 10 –4 = c = 5.6 10 –5 d = 1.25 10 9 What are the advantages of working in standard form? Are there any disadvantages? How do you enter a number like 5.6 10 –5 into your calculator?
Scientific Notation Really large, and really small numbers.
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Year 5 Term 2 Unit 7 Day 2. L.O.1 To be able to use doubling to multiply two-digit numbers by 4. To halve any two-digit number.
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We got Moles! Mr. Bimber Freedom High School. Warm up questions 1. What is the smallest bit of an element? 2. What is the smallest bit of a compound?
For chemists, a mole is NOT a small furry animal.
Measurement and SI Units Section 1-3 in text. Using Scientific Notation A. Scientists often work with very ___________ or very ________ numbers. 1. Speed.
© Nuffield Foundation 2011 Free-Standing Mathematics Activity Perimeter and area.
DENSITY. What Is Density? Density is how heavy something is for its size. Density is mass divided by volume or D=m/v D = density, M = mass V = volume.
Scientific Notation Karen Cibrian. Definition Scientific notation is simply a method for expressing, and working with very large or very small numbers.
L.O.1 To be able to count on or back in steps of 0.1; 0.2; 0.3….. To be able to use known facts and place value to multiply mentally.
L.O.1 To recall multiplication facts up to 10 x 10.
Thermal Physics Thermal Concepts. Temperature The absolute temperature scale (measured in Kelvin and with a minimum value of zero Kelvin) is used in physics.
Chapter 6 Mathematics & Chemical Formulas Unit 7 – The Mole.
L.O.1 To be able to recall multiplication and division facts involving the 2,3,4,6,7 and 8 times tables.
Of. and a to the in is you that it at be.
The. of and a to in is you that it he was.
Measurement and SI Units Section 1-3 in text. Using Scientific Notation A. Scientists often work with very large or very small numbers. 1. Speed of light=
Finding the Change in Velocity ^v = g x t ^v = g x t The velocity of falling objects The velocity of falling objects To find the change in velocity, multiply.
The. of and a to in is you that it he for.
The Numbers of Science Data Analysis Measurements and Units.
Problem Solving – a Math Review Unit 1 Significant Figures, Scientific Notation & Dimensional Analysis.
Welcome to Physics C Instructor: Martin Mathews Expectations are on the Course Description page.Course Description.
Unit 6 - Chapter 12 The Mole. The Mole – a word that means a # Other words that mean #s: One dozen = 12 One gross = 144 One score = 20 One ream = 500.
1 Unit 4: Mass, Weight & Density. 2 Lesson Objectives At the end of the lesson, you should be able to understand At the end of the lesson, you should.
PS-2.1 Compare the subatomic particles of an atom with regard to mass, location, and charge, and explain how these particles affect the properties of an.
Physics Tools and Standards Each discipline has a language. The language of physics is math! What are the mathematical tools you need to succeed?
Chemistry 332 Chapter 8 Section 1 THE MOLE!!! Created by Karl Craddock Fremd High School.
Scientific Notation and SI Prefixes Handling the Big and the Small.
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