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Mastering Decimal Rounding and Significant Figures

Learn to round decimals accurately to any number of places and understand significant figures for precise calculations. Explore examples and practice questions. Created by Mr. Lafferty, Maths Department.

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Mastering Decimal Rounding and Significant Figures

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  1. Decimals Rounding Decimal Places Significant Figures www.mathsrevision.com Estimating Created by Mr. Lafferty Maths Dept.

  2. Starter Questions The answer to the question is 60 www.mathsrevision.com Write down as many questions as you can Created by Mr. Lafferty Maths Dept.

  3. Rounding Rounding to Any Number of Decimal Places Learning Intention Success Criteria 1. Use previous knowledge to help round to any number of decimal places. • 1. We are learning to round to any number of decimal places. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  4. Rounding Rounding to Any Number of Decimal Places MNU 3-01a When rounding to : • 1 decimal place look at 2nd decimal figure e.g. 2.46 • 2 decimal places look at 3rd decimal figure e.g. 6.456 • 3 decimal places look at 4th decimal figure e.g. 3.7846 www.mathsrevision.com • 4 decimal places look at 5th decimal figure e.g. 13.1146 Created by Mr. Lafferty Maths Dept.

  5. Rounding Rounding to Any Number of Decimal Places MNU 3-01a Example : • Rounded to 1 decimal place, the number is 4.3 • Rounded to 2 decimal place, the number is 4.26 www.mathsrevision.com • Rounded to 3 decimal place, the number is 4.262 • Rounded to 4 decimal place, the number is 4.2616 Created by Mr. Lafferty Maths Dept.

  6. Rounding Rounding to Any Number of Decimal Places MNU 3-01a Example : Use your calculator to find the answers to 62.73 134.59 www.mathsrevision.com 4.29 Round your answers to 2 decimal places. Created by Mr. Lafferty Maths Dept.

  7. Rounding Rounding to Any Number of Decimal Places MNU 3-01a Now try TJ3a Ex 1 Ch1 (page 7) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  8. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  9. Significant Numbers Learning Intention Success Criteria • Understand what the term significant figure means. • We are learning about the term significant figure. www.mathsrevision.com • Apply knowledge to problems. Created by Mr. Lafferty Maths Dept.

  10. 506 cm 50.6 cm 0.506 cm 0.00506 cm Significant Numbers MNU 3-03a • In mathematics a figure or digit is significant • if it gives an idea of both: • Quantity • Accuracy IMPORTANT : If zero’s are employed just to position the decimal point then they are considered NOT significant. www.mathsrevision.com e.g. Has 3 significant figures. Has 3 significant figures. Has 3 significant figures. Has 3 significant figures. Created by Mr. Lafferty Maths Dept.

  11. Significant Figures MNU 3-01a Rounding 0.001090 To the left of the number Middle of the number To the right of the number www.mathsrevision.com Always Significant Not Significant Always Significant Created by Mr. Lafferty Maths Dept.

  12. Significant Figures MNU 3-01a Example : How many significant figure for each number. 3 There are 500 pennies in £5. 1 There are 800 pupils in St. Ninian’s. 3 There are 360o in a circle. www.mathsrevision.com 4 The height of toy is 1.309 metres 2 A strand of hair is 0.040mm wide. Created by Mr. Lafferty Maths Dept.

  13. Rounding Rounding to Any Number of Decimal Places MNU 3-01a Now try TJ3a Ex 2 Ch1 (page 9) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  14. Starter Questions www.mathsrevision.com 42o Created by Mr. Lafferty Maths Dept.

  15. Estimating Using Sig. Fig. to Estimate Answers Learning Intention Success Criteria • 1. We are learning how to estimate an answer using significant figures. 2. Estimate the answer to a calculation using significant figures. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  16. Estimating Using Sig. Fig. to Estimate Answers It is very important when solving problems that we have a rough idea of the answer we are expecting. Example : Mentally estimate the answer to 42 x 49 by rounding each number to 1 sig. fig. first. www.mathsrevision.com 40 x 50 = 400 x 5 = 2000 Created by Mr. Lafferty Maths Dept.

  17. Estimating Using Sig. Fig. to Estimate Answers Example : Mentally estimate the answer to 104 x 19 by rounding each number to 1 sig. fig. first. 100 x 20 = 1000 x 2 = 2000 www.mathsrevision.com Example : Mentally estimate the answer to 878 ÷ 27 by rounding each number to 1 sig. fig. first. 900 ÷ 30 = 90 ÷ 3 = 30 Created by Mr. Lafferty Maths Dept.

  18. Have you updated your Learning Log ? Estimating Using Sig. Fig. to Estimate Answers MNU 3-01a Now try TJ3a Ex 3 Ch1 (page 11) www.mathsrevision.com Are you on Target ? I can ? Created by Mr. Lafferty Maths Dept.

  19. Test Slide Hello Lynn Created by Mr. Lafferty Maths Dept.

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