Exploring Place Value and Rounding for Estimation Problems
Delve into the concepts of place value, rounding, and estimation through various scenarios and problems. Discover how to find numbers based on their product and sum, estimate bill totals to the nearest pound or pence, compare rounding techniques, and analyze the effectiveness of rounding to different intervals. Explore the intricacies of digits and their impact on calculations in a fun and interactive manner.
Uploaded on Sep 12, 2024 | 0 Views
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Place Value 12/09/2024 Starter: Find two numbers whose 1. Product is 12 and sum is 7 2. Product is 20 and sum is 12 3. Product is 12 and sum is 13 4. Product is -12 and sum is 1 5. Product is -12 and sum is -1 6. Product is -12 and sum is -4
Place Value 12/09/2024 LO: I can :use rounding to estimate. Is to: Is to: Is to: Round to the nearest 10, 100, 1000 Round to 1dp and 2dp. Use rounding to solve problems. Emerging Developing Secure Keywords round estimate
Place Value 12/09/2024 estimating bill totals nearest pound nearest 50p nearest 10p round each amount to the nearest: (a) 1 (b) 50p (c) 10p and compare the sum of the actual numbers to the three estimated totals (1) 2.69 7.78 4.67 6.29 12.34 + 3 8 2.50 8.00 2.70 7.80 + + + which estimate is closest to the actual total? (3) (4) (2) 4.46 6.95 8.39 8.46 11.21 5.23 8.78 2.37 9.45 10.21 3.59 2.98 4.34 5.19 10.42 + + +
Place Value 12/09/2024 rounding to estimate answers round to the nearest 5 + 2 1 8.00 4.83 + 2.13 1.25 8.21 = actual total round to the nearest 5p round to the nearest 10p 4.85 + 2.15 1.25 8.25 4.80 + 2.10 1.30 8.20
Place Value 12/09/2024 4.81 + 3.04 7.19 15.04 actual total round to the nearest 5 round to the nearest round to the nearest 10p round to the nearest 5p 5 + 5 5 5 + 3 7 4.80 + 3.00 7.20 4.80 + 3.05 7.20 15 15 15.00 15.05 to the nearest 5p is closest but the other three are all the same
Place Value 12/09/2024 compare numbers rounded to the nearest 5 with these numbers rounded to the nearest 10 35 + 25 20 + 45 25 + 35 34 + 23 21 + 47 23 + 36 30 + 20 20 + 50 20 + 40 sometimes rounding to the nearest 5 does not give a closer value to the actual answer than numbers rounded to the nearest 10 when?
Place Value 3 4 12/09/2024 + 1 2 5 6 7 8 9 last digits 1 = = f f f f = = T 2 = f f f = = T = T = which is better? 3 f f = T T f 4 f = = = T T = 10p 5 = = = f f f = 5p 6 f f f f = same 7 f f f 8 = = 9 =
