Labeling Place Value - Understanding Number Columns
Explore a series of challenges and questions centered around understanding place value columns such as tens, tenths, hundreds, and more. Test your knowledge with visual cues and practical examples. Learn about the concept of rounding numbers and determining proximity to specific values.
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Presentation Transcript
Can you label these place value columns? Tens Tenths Hint: there are some keywords below
Can you label these place value columns? Thousands Hundreds Tens Units Tenths Hundredths Thousandths Hint: there are some keywords below
Is 37 nearer to 30 or 40? 33 34 35 36 37 38 39 40 32 30 31 40
Is 34 nearer to 30 or 40? 33 34 35 36 37 38 39 40 32 30 31 30
Is 35 nearer to 30 or 40? 33 34 35 36 37 38 39 40 32 30 31 It s in the middle!
5 is in the middle so we could go up or down. But we need a method that everyone agrees to. So think about sport: we should have the same number of players on each team, right? 0, 1, 2, 3 and 4 are on team down . 5, 6, 7, 8 and 9 are on team up .
Is 35 nearer to 30 or 40? 33 34 35 36 37 38 39 40 32 30 31 40
Round 83 to the nearest 10 80 90 A B
Round 83 to the nearest 10 80 90 A B
Round 241 to the nearest 100 240 250 A B
Round 241 to the nearest 100 240 250 A B
Round 29 to the nearest 10 20 30 A B
Round 29 to the nearest 10 20 30 A B
Round 649 to the nearest 100 600 700 A B
Round 649 to the nearest 100 600 700 A B
Round 250 to the nearest 100 200 300 A B
Round 250 to the nearest 100 200 300 A B
Round 95 to the nearest 10 90 100 A B
Round 95 to the nearest 10 90 100 A B
Round 13 to the nearest 100 0 100 A B
Round 13 to the nearest 100 0 100 A B
Round 218 to the nearest 10 210 220 A B
Round 218 to the nearest 10 210 220 A B
Round 554 to the nearest 10 550 560 A B
Round 554 to the nearest 10 550 560 A B
Round 999 to the nearest 10 990 1000 A B
Round 999 to the nearest 10 990 1000 A B
Rounding Code Breaker Read each section carefully to help uncover the secret message! https://www.tes.com/teaching- resource/rounding-code-breaker-to-nearest- 10-100-1000-6363634
Is 8.2 nearer to 8 or 9? 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9 8.2 8 8.1 8
Is 8.6 nearer to 8 or 9? 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9 8.2 8 8.1 9
Is 8.5 nearer to 8 or 9? 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9 8.2 8 8.1 Remember, 5 is on team up ! 9
Answers Question 1 a) c) e) g) i) Question 3 9.9 5 9 4 13 -2 b) d) f) h) j) 4 10 18 342 0 Question 4 7.24 Question 2 4.7 4.3 5.9 5.2 5.49 4.932 98.7 80 97.9 97.5 98.4 98.05 43.78 43.12 43.11 43.3 42.93 12.13 11.51 11.49 12.51 12.65
Hopefully you feel like youre pretty good at rounding now! Work with the person next to you on the Rounding to One Decimal Place jigsaw. Keep thinking about which numbers are on each team!
Plenary Complete the exit ticket, making sure you justify each emoji.
Starter Premier League Attendance Write the attendance in words (don t forget spelling!) and then round each attendance to the nearest 10, nearest 100, nearest 1000 and nearest 10000.
Answers Fifty-nine thousand, nine hundred and twelve 59900 60000 60000 59910 Forty-four thousand, three hundred and thirty 40000 44330 44000 44300
Answers Forty-one thousand and seventy-three 41100 41000 40000 41070 Twenty-four thousand and ninety-eight 20000 24100 24000 24100
1DP 2DP 3DP 4 . 8 5 2 1 . 6 9 4 9 5 . 2 6 2 7 5 or more? 5 or more? 5 or more? Yes No Yes 4 . 9 1 . 6 9 5 . 2 6 3 Choose red, amber or green Number 63.4721 87.6564 149.9875 3.54029 0.59999 To 1DP 63.5 To 2DP 63.47 To 3DP 63.472 Your Turn 87.7 87.66 87.656 150.0 149.99 149.988 3.5 3.54 3.540 0.6 0.60 0.600
Significant Figures If you read that the attendance at a football match was exactly 41,786 and a friend asked you about the attendance, you would probably say about 40,000 . In this case you are giving an approximate answer to one significant figure.
Significant Figures Find the first non-zero digit in your number this is your first significant figure (and every digit after this is significant, even zeros). Count along the correct number of digits (same as the number of significant figures you are rounding too) and round normally. Check your answer makes sense if you have rounded 32745 to 2 sig. figs. and got an answer of 38 that isn t sensible. Your answers should be of a similar size to your original number.
Significant Figures Rounding to one significant figure: 1 4 7 2 0 . 0 3 2 8 2 6 7 2 8 5 or bigger ? 5 or bigger ? 5 or bigger ? No Yes No 0.03 30 000 1 000
Answers (b) (e) Q1 (a) (d) Q2 (a) (c) Q3 (a) (c) Q4 (a) (c) Q5 (a) 3 2 4 4 (c) (f) 1 6 92 850 93 000 (b) (d) 92 800 90 000 0.08 0.005 (b) (d) 0.9 0.001 0.14 0.058 (b) (d) 0.90 0.0060 1630 (b) 1600
Estimate the answer to 6.32 x 9.5 When estimating, we first need to round EVERY number in the question to one significant figure. We round 6.32 to 1 s.f. We round 9.5 to 1 s.f. 6 10 6 x 10 = 60 6.32 x 9.5 This symbol means approximately equal to
Sally bought 18 packets of crisps at 32p each. Estimate how much she spent When estimating, we first need to round EVERY number in the question to one significant figure. We round 18 to 1 s.f. We round 32 to 1 s.f. 20 30 = 6.00 20 x 30 = 600p 18 x 32
Billy can write 24 words a minute. Estimate how long it took him to write 643 words. When estimating, we first need to round EVERY number in the question to one significant figure. We round 24 to 1 s.f. We round 643 to 1 s.f. 20 600 = 30 minutes 600 20 643 24
On a long haul flight an aeroplane flew 3123 miles in 9.6 hours. Work out an estimate of how many miles it flew each hour. a) 3000 b) 30 c) 300
Estimate the answer to this question. 54.6 x 2.91 c) 15 ? a) 1500 b) 150
Martyn rode 287 kilometres in 11 days. Roughly how many kilometres did he ride each day? a) 30 b) 300 c) 3
