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Decimal Numbers

Decimal Numbers. Working with Decimals. Decimal Scales. Rounding to nearest whole number. www.mathsrevision.com. Rounding to 1 Decimal Place. Addition and Subtraction. Starter Questions. www.mathsrevision.com. Decimal Numbers. Writing Decimals. Learning Intention. Success Criteria.

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Decimal Numbers

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  1. Decimal Numbers Working with Decimals Decimal Scales Rounding to nearest whole number www.mathsrevision.com Rounding to 1 Decimal Place Addition and Subtraction Created by Mr. Lafferty Maths Dept.

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

  3. Decimal Numbers Writing Decimals Learning Intention Success Criteria • Understand what a decimal number is. • 1. We are learning what a decimal number is. Write down the decimal number represented by a fraction diagram. • 2. Write down the decimal number represented by a fraction diagram. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  4. means ten Decimal Numbers Writing Decimals When you take a single unit and divide it into 10 bits, what we then have are decimal fractions of a whole number Imagine, 1 bar of chocolate as our UNIT of measure. www.mathsrevision.com 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 or 0.1 Created by Mr. Lafferty Maths Dept.

  5. Decimal Numbers Writing Decimals Example : Write down the decimal number represented by the shaded area. (a) www.mathsrevision.com (b) Created by Mr. Lafferty Maths Dept.

  6. Decimal Numbers Writing Decimals Example : Write down the decimal number represented by the diagram. (a) (b) www.mathsrevision.com (c) (d) Created by Mr. Lafferty Maths Dept.

  7. Decimal Numbers Writing Decimals We can take one bit of the chocolate bar and split it into 10 1st Decimal place 0.01 0.1 www.mathsrevision.com 2nd Decimal place Created by Mr. Lafferty Maths Dept.

  8. Decimal Numbers Writing Decimals Example : Write down the decimal number represented by the diagram. (a) (b) www.mathsrevision.com (c) (d) Created by Mr. Lafferty Maths Dept.

  9. Decimal Numbers Writing Decimals Now try TJ2a Ex 1 Ch5 (page 37) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  10. Starter Questions 3cm www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  11. Decimal Numbers Reading Scales Learning Intention Success Criteria • Understand the steps to work out any decimal scale to 2 decimal places. • 1We are learning the steps to read decimal scales. • 2. Solve problems by working out scales. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  12. 0.4 0.6 0.8 1.2 1.4 1.6 1.8 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 Decimal Numbers Reading Scales 0.2 0.1 1.0cm 0.0cm 2.0cm You must work out what number goes next to each mark on the scale. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  13. Decimal Numbers Reading Scales Find the values of the arrows 9cm 8cm 10cm 8.8 9.5 9.8 8.3 www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  14. 3.12 3.14 3.04 3.16 3.06 3.18 3.08 3.11 3.13 3.15 3.05 3.17 3.07 3.19 3.09 Decimal Numbers Reading Harder Scales 3.02 3.01 3.03 3.10cm 3.00cm 3.20cm You must work out what number goes next to each mark on the scale. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  15. Decimal Numbers Reading Harder Scales 12.10cm 12.00cm 12.20cm 12.19 12.14 12.08 12.03 www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  16. Decimal Numbers Reading Scales Now try TJ2a Ex 2 Ch5 (page 41) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  17. 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.

  18. Rounding Learning Intention Success Criteria 1. Use previous knowledge to help round to any number to the nearest whole number. • 1. We are learning to round to the nearest whole number. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  19. All to do with the number 5 Rounding Rounding to the nearest whole number we look at the first decimal place : 2.4 2 since 4 is less than 5 nearest whole number is 2.7 3 since 7 is more than 5 nearest whole number is www.mathsrevision.com ? 2.5 3 since 5 is not less than 5 nearest whole number is Created by Mr. Lafferty Maths Dept.

  20. All to do with the number 5 Rounding Round the following to the nearest whole number. 432.67 433 www.mathsrevision.com 596.55 597 13.05 13 Created by Mr. Lafferty Maths Dept.

  21. Decimal Numbers Reading Scales Now try TJ2a Ex 3 Ch5 (page 44) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  23. Decimal Numbers Rounding to 1 decimal place Learning Intention Success Criteria • 1. Remember steps to round to 1 decimal place. • We are learning how to round to 1 decimal place. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  24. Decimal Numbers Rounding to 1 decimal place Find the values of the arrows. 8.3cm 8.2cm 8.4cm 8.35 8.24 8.28 www.mathsrevision.com Is 8.24 nearer to 8.2 or 8.3 ? 8.2 Is 8.28 nearer to 8.2 or 8.3 ? 8.3 Is 8.35 nearer to 8.2 or 8.3 ? Neither Created by Mr. Lafferty Maths Dept.

  25. Example : Round the numbers to 1 decimal place • 9.04 (b) 18.08 (c) 24.25 • (d) 12.73 (e) 102.09 (f) 2636.55 Decimal Numbers Rounding to 1 decimal place The rules for rounding to 1 decimal place are: If the 2nd decimal place is 0,1,2,3,4 - leave 1st decimal place as it is If the 2nd decimal place is 5,6,7,8,9 - add 1 to 1st decimal place www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  26. Decimal Numbers Rounding to 1 decimal place Now try TJ2a Ex 4 Ch5 (page 46) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  28. Decimal Numbers Add and Subtract Decimals Learning Intention Success Criteria 1. Understand that you must keep the decimal point lined up when adding and subtracting decimal numbers. • 1. We are learning how to add and subtract decimal numbers. www.mathsrevision.com 2. Show all working. Created by Mr. Lafferty Maths Dept.

  29. Decimal Numbers Add and Subtract Decimals When you add or subtract decimal numbers, it is important to line-up the decimal points. Example 1 : Calculate 7.8 + 0.92 www.mathsrevision.com 8 . 7 2 Created by Mr. Lafferty Maths Dept.

  30. Decimal Numbers Add and Subtract Decimals When you add or subtract decimal numbers, it is important to line-up the decimal points. Example 1 : Calculate 4 – 0.84 www.mathsrevision.com 3 . 1 6 Created by Mr. Lafferty Maths Dept.

  31. Decimal Numbers Add and Subtract Decimals Example 1 : Find the value x cm and y cm 3.91cm 2.1cm y cm 3.25cm 2.2cm x cm y cm www.mathsrevision.com x cm 6 . 0 1 1 . 0 5 Created by Mr. Lafferty Maths Dept.

  32. Have you updated your Learning Log ? Decimal Numbers Add and Subtract Decimals Now try TJ2a Ex 5 Ch5 (page 48) www.mathsrevision.com Are you on Target ? I can ? Created by Mr. Lafferty Maths Dept.

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