Chapter 3 Approximation & Estimation. Learning Outcomes Round to nearest 10, 100, 1000 Round in practical problems Round to a specified number of decimal.

Slides:

Advertisements

Similar presentations

Chapter 3 L3-4 Notes: Estimating Sums & Differences.

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.

Mr Barton’s Maths Notes

Approximations – Decimal Places & Significant Figures

Starter Activity Think pair share I have £240

Significant Figures.

UNIT ONE TOPIC: Significant Figures and Calculations.

IN THE CHEMISTRY SECTION OF YOUR NOTEBOOK, TAKE CORNELL STYLE NOTES OVER THE INFORMATION PRESENTED IN THE FOLLOWING SLIDES. Measurements in Chemistry Aug.

Significant Figures Non-zeros are significant.

Significant Digits p. 940 – 941 or significant figures or sigfigs or sf.

Accuracy Learning Outcomes  Round off to a given number of decimal places  Round off to a given number of significant figures  Calculate the upper and.

1 Significant Figures Significant figures tell us the range of values to expect for repeated measurements The more significant figures there are in a measurement,

Significant Figures What do you write?

Rounding is done in two main ways. 1. Decimal Places 2. Significant Figures.

BELL RINGER #1 Convert 125,458,621,000,000 to Scientific Notation. #2 Convert to Scientific Notation.

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)

30 AUGUST 2013 Significant Figures Rules. Precision When completing measurements and calculations, it is important to be as precise as possible.  Precise:

Significant Figures and Rounding. Counting Sig. Figs. Pacific a.k.a.: Present Start with first non-zero, go in  direction Atlantic a.k.a.: Absent Start.

Measurements in Chemistry Aug 6, 2014 In the chemistry section of your notebook, Take Cornell style notes over the information presented in the following.

Uncertainty in Measurement. Significant Figures #1 All non-zero digits are significant. Examples

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

Significant Figures. Significant Digits or Significant Figures We must be aware of the accuracy limits of each piece of lab equipment that we use and.

Rounding- Decimal Places and Significant Figures.

Rounding to significant figures

Accuracy vs. Precision. Calculations Involving Measured Quantities The accuracy of a measured quantity is based on the measurement tool. The last digit.

Significant Figures. Significant Figure Rules 1) ALL non-zero numbers (1,2,3,4,5,6,7,8,9) are ALWAYS significant. 1) ALL non-zero numbers (1,2,3,4,5,6,7,8,9)

SIGNIFICANT FIGURES Rules for Significant Figures.

1.9 Significant Figures Writing Numbers to Reflect Precision.

Plan for Place Value….. EstimatingRounding Place Value Decimal Sequences Significant Figures Ordering Numbers Level 3 Grade G Level 3 Grade G Level 3/4.

st significant figure Significant figures Significant figures 1 st significant figure.

Adding and Subtracting with proper precision m m 12.0 m m m m m m m Keep in your answer everything.

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.

vms Year 8 Mathematics Rounding.

Three Significant Figures Three significant figures. If you approximate a number, what are the most significant 3 numbers that you can give. E.g

Significant Figures. Who cares? Sig Figs measure the degree of precision of a measurement.

1 of 18 Copyright © AQA and its licensors. All rights reserved. Estimates and significant figures Mathematics for GCSE Science This presentation covers.

Mathematics Lesson 1 Significant Figures Lesson Objectives: To learn how to round to significant figures and how to estimate Starter Complete then negative.

Mr Barton’s Maths Notes

Rules for Significant Figures

Significant Figures Notes on PAGE _____. Significant Figures Notes on PAGE _____.

Significant Figures in Calculations

Class Notes: Significant Figures

Significant Figures in Calculations

Significant Figures.

Literacy Research Memory Skill Practice Stretch!

Decimal places and significant figures

Literacy Research Memory Skill Practice Stretch!

Number 4. Rounding and Approximations

Rounding Bingo.

Maths Unit 5 – Written Calculations Rounding to a given decimal place

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)

What does the first significant figure represent in each case

We normally abbreviate this to ‘nearest 10’

Objective - To round decimals to a specified place value.

Section 3-2 Uncertainty in Measurements

Limits of Accuracy.

Significant Figures © R. A. Hill.

Limits of Accuracy.

Decimals – Outcomes Represent addition, subtraction, multiplication, and division in ℚ using number lines and decomposition. Perform addition, subtraction,

Significant Figures.

Literacy Research Memory Skill Practice Stretch!

Rounding – to the nearest 10

How do you determine where to round off your answers?

Rounding – to the nearest 10

Decimals LI: To identify the information that a decimal number shows and to be able to round a decimal. LI: To be able to round to the nearest 100, 10.

Significant Figures in Calculations

Calculation with Significant Figures

Presentation transcript:

Chapter 3 Approximation & Estimation

Learning Outcomes Round to nearest 10, 100, 1000 Round in practical problems Round to a specified number of decimal places Round to a specified number of significant figures Choosing a degree of accuracy for the answer that suits the question Estimating calculations

Rounding to nearest 10, 100,… If 5 or above round up If 5 or above round up If below 5 leave alone If below 5 leave alone Number Nearest 10 Nearest 100 Nearest

Practical Problems Remember to think if your answer is sensible!!!! Remember to think if your answer is sensible!!!! Example Example A year group are going on a trip to Paris. There are 242 students going. Each bus holds 55 passengers. How many buses are needed?

Rounding Decimals Start counting after the decimal place Start counting after the decimal place Number 1 dp 2 dp 3 dp 4 dp

Significant Figures Start counting at the 1 st non-zero digit Start counting at the 1 st non-zero digit Number 1 sf 2 sf 3 sf 4 sf

Choosing a Degree of Accuracy Use common sense!!! Use common sense!!! If answer is in metres use 2 dp If answer is in metres use 2 dp If a question is given to 1 dp the answer should be given to 1 dp If a question is given to 1 dp the answer should be given to 1 dp

Estimation When estimating a calculation use 1 significant figure or round to numbers that give even answers When estimating a calculation use 1 significant figure or round to numbers that give even answers Examples Examples 1) Estimate 432 × 29 2) Estimate ( ) ÷ (9.69 × 3.04) 3) Estimate 78.9 ÷ (0.037 × 5.2)