Whiteboardmaths.com © 2004 All rights reserved 5 7 2 1.

Slides:



Advertisements
Similar presentations
Whiteboardmaths.com © 2004 All rights reserved
Advertisements

Rounding and Approximation. Methods of Rounding Decimal Places Identify the digit of the decimal place required  Look at the next digit to the right.
1.4 Rounding and Order 1 Rounding off is the process of changing a number and expressing it to a certain accuracy. We will indicate accuracy by specifying.
GCSE Maths Starter 18 1.Write down the reciprocal of ¼ 2.A small pot costs 20 pence. A large pot costs 150% more, how much does the large pot cost? 3.Copy.
Estimation and checking answers.. What you should already be able to do: Round to the required number of decimal places. Round to the required number.
Warm Up #7 (Page 28) 10/9/2014 Round the following numbers to 2 significant figures (Write the question) 1) g 2) 124,000 m 3)1.25 cm Perform the.
Unit 1 Significant Figures.  When does = 4?  When 2 = 1.7 rounded  & 3 = 2.6  = 4.3 = 4.
4x + 2y = 18 a. (1,8) = 18 a. 4(1) + 2(8) = 18 b. (3,3)20 = 18 b. 4(3) + 2(3) = = = 18 15x + 5y = 5 a. (-2,7) NoYes b. (-1,4) a.
Decimals: Reading, Writing, and Rounding Section 4.1.
Scientific Notation And Significant Figures.
Significant Figures & Measurement. How do you know where to round? In math, teachers tell you In math, teachers tell you In science, we use significant.
What time is it? Someone might say “1:30” or “1:28” or “1:27:55” Each is appropriate for a different situation In science we describe a value as having.
Significant Figures What do you write?
Chapter 1 Lesson4. Physical Science  There are 2 kinds of numbers: ◦ Exact: the amount of money in your account. Known with certainty.
Significant Figures Chemistry. Exact vs approximate There are 2 kinds of numbers: 1.Exact: the amount of money in your account. Known with certainty.
Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Chapter 3 Decimals.
Significant Figures 1.All non-zero digits are significant (2.45 has 3 SF) 2.Zeros between (sandwiched)non- zero digits are significant (303 has 3 SF)
Chemistry 100 Significant Figures. Rules for Significant Figures  Zeros used to locate decimal points are NOT significant. e.g., 0.5 kg = 5. X 10 2 g.
Significant Figure Rules. Rule Number 1 All non zero digits are significant. Examples 1179 – 4 significant figures significant figures
Significant Figures Physical Science. What is a significant figure? There are 2 kinds of numbers: –Exact: counting objects, or definitions. –Approximate:
Rounding Using Significant figures. Another way of rounding is using significant figures.
Significant Figures Significant figures in a measurement consist of all the digits known with certainty plus one final digit, which is somewhat uncertain.
ROUNDING OFF By Ali And sara. How it works When Pakistani government carries census, it tries to count, very accurately, every person living in the country.
SIGNIFICANT FIGURES AND DECIMAL PLACES
Three Significant Figures Three significant figures. If you approximate a number, what are the most significant 3 numbers that you can give. E.g
Rounding- Decimal Places and Significant Figures.
Scientific Notation Used for very small or very large numbers Write out 1 million Write out 2.75 billion Write out 602 sexillion – That is 24 digits total.
Making Your Measurements Count.  All of the numbers I know for sure… + 1 estimate.
Plan for Place Value….. EstimatingRounding Place Value Decimal Sequences Significant Figures Ordering Numbers Level 3 Grade G Level 3 Grade G Level 3/4.
Whole Numbers (Miscellaneous) Multiples Factors Squares and cubes BODMAS Rounding whole numbers Significant figure Approximation Negative numbers.
Copyright © Cengage Learning. All rights reserved. Functions 1 Basic Concepts.
Mathsercise-C Rounding Ready? Here we go!. Estimate the value of: 1 Rounding x 7.85 Answer Question 2 Round each number to a sensible figure.
3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch.
vms Year 8 Mathematics Rounding.
Rounding To 1,2 or 3 Significant Figures. Significant Figures ImportantNumbers A significant number is any number that is not zero. Zero is only significant.
Three Significant Figures Three significant figures. If you approximate a number, what are the most significant 3 numbers that you can give. E.g
3.1 – 3.4 Pre-Test Please grab your clicker and a scrap piece of paper!!
Significant Figures When we take measurements or make calculations, we do so with a certain precision. This precision is determined by the instrument we.
Chapter 3 Approximation & Estimation. Learning Outcomes Round to nearest 10, 100, 1000 Round in practical problems Round to a specified number of decimal.
Significant Figures. What is a significant figure?  There are 2 kinds of numbers:  Exact: the amount of money in your account. Known with certainty.
Unit 3 lec 2: Significant Figures
Significant Figures Notes on PAGE _____. Significant Figures Notes on PAGE _____.
Understanding Significant Figures
Significant Figures.
Aim: How to write in Scientific Notation and Count Significant Figures
Unit-1 Physics Physical World and Measurements
Significant Figures Significant figures are those numbers considered to be important in value All non-zero digits are significant Zeros are NOT always.
Rounding to Significant Figures
Significant Figures Physical Science Mr. Ramirez.
Significant Figures Physical Science.
Significant Figures
Text Section 2.3 Pages
Significant Figures The numbers that count.
Significant Figures All non-zero digits are significant (2.45 has 3 SF) Zeros between (sandwiched)non-zero digits are significant (303 has 3 SF)
Unit 1 lec 3: Significant Figures
Significant Figures Chemistry.
Exact and Inexact Numbers
Significant Figures.
Determining Significant Digits and Rounding
[Student Name] [Current Date]
Decimals – Outcomes Represent addition, subtraction, multiplication, and division in ℚ using number lines and decomposition. Perform addition, subtraction,
Unit 2: Physics Sc 3200.
Scientific Notation & Significant Figures
The Mathematics of Chemistry
Significant Figures Physical Science.
Significant Figures (Sig figs)
Significant Figures.
Significant Figures Overview
Starter – Premier League Attendance
Can you label these place value columns?
Presentation transcript:

Whiteboardmaths.com © 2004 All rights reserved

If you read in the Saturday sports section of the paper that the attendance at a football match was exactly 43,786 and a friend asked you about the attendance at school on Monday, you would probably say about 44,000. In this case you are giving an approximate answer to 2 S.f. Significant Figures It is often necessary/convenient/sensible to give approximations to real life situations or as answers to certain calculations.

Significant Figures (Rounding) Numbers can be rounded to 1,2, 3 or more significant figures. We count the number of figures from the first non-zero digit. Rounding to 1 s.f 5 or bigger ? or bigger ? or bigger ? 0.04 NoYes No First non-zero digit.

Rounding to 1 s.f or bigger ? or bigger ? Yes First non-zero digit. Significant Figures (Rounding)

or bigger ? or bigger ? Yes First non-zero digit. Significant Figures (Rounding) Rounding to 2 s.f

or bigger ? or bigger ? Yes No First non-zero digit. Significant Figures (Rounding) Rounding to 2 s.f

or bigger ? or bigger ? Yes First non-zero digit. Significant Figures (Rounding) Rounding to 3 s.f

or bigger ? or bigger ? No Yes First non-zero digit. Significant Figures (Rounding) Rounding to 4 s.f

Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number. Rounding whole numbers to 1 s.f or bigger ? No or bigger ? No or bigger ? Yes

Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 1 s.f or bigger ? 200 No or bigger ? 600 Yes or bigger ? 80 Yes

Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 2 s.f or bigger ? Yes or bigger ? Yes or bigger ? No

Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 2 s.f or bigger ? 240 No or bigger ? 290 Yes or bigger ? 760 Yes

Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 3 s.f or bigger ? No or bigger ? Yes or bigger ? Yes

Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 4 s.f or bigger ? No or bigger ? Yes or bigger ? Yes

The following number could be the population of a country at a particular instant in time.Write this number to 1, 2, 3, 4, 5, 6 and 7 significant figures