Chapter 2 Answers. Problem of the Week p For example, 3. For example, between 2064 m and 2136 m.

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1 Problem of the Week p For example, Population Brantford Population of Six Ontario Cities Leamington North Bay Owen Sound Cities Port Colborne Whitby 3. For example, between 64 m and 2136 m. Chapter 2 Mental Math (Master) pp ) 1. a) 00 b) 00 c) $4 d) For example, a) 2 b) 5 c) 6 d) 9 3. a) 5 b) 7 c) 8 d) 4. a) 4324 b) 45 c) 00 d) e) a) 00 > 00 b) 00 < 000 c) 00 < 00 d) < 00 e) 00 < 00 f) 000 > a) = 00 b) = 00 c) = 00 d) = 00 e) = 00 f) = a) = 00 b) = 00 c) = 00 d) = 00 e) = 00 f) = a) $1., $0. b) $5., $4. c) $6., $6. d) $.55, $.15 e) $12., $11. f) $., $9. 9. a) i) b) iii) c) ii) d) v) e) iv). a). a) $ $2.00 = $6.00 d) $ $6.00 = $12.00 b) $ $3.00 = $4.00 e) $ $.00 = $19.00 c) $ $5.00 = $13.00 f) $ $8.00 = $11.00 Scaffolding for Getting Started Activity (Master) p. 75 A. seven thousand four hundred twenty-three B. 7 thousand blocks, 4 hundred blocks, 2 tens blocks, 3 ones blocks; For example, there are 7 thousand blocks, 4 hundred blocks, 2 ten blocks, and 3 one blocks C. For example, I think Patrick s tower will be tallest. It will have 8 thousands blocks, while the others have only 6 or 7. Copyright 05 by Thomson Nelson 89

2 D. Monique Patrick Marcus Anna top view side view top view side view top view side view top view side view E. Patrick s; For example, yes. F. Marcus s G. For example, no; yes. They have the same number of thousands and hundreds blocks and they both have some tens and ones blocks on the top layer. H. Patrick. For example, the tower showing Patrick s steps is the tallest so it represents the greatest number. If I compare the numbers, I see that Patrick has an 8 in the thousands digit. That is the largest thousands digit, so his number is the greatest. Scaffolding for Do You Remember? (Master) p a) Thousands Hundreds Tens Ones b) , , , c) 847, 03, 34, a) 04 b) a) 0; 23; 0.23 b) 0; ; $45.32 Scaffolding for Lesson 2 (Master) p a) ten thousand six hundred fifty-one; b) Ten thousands 1 Thousands Hundreds Tens Ones c) For example, it s the same because it has the same digits: 1, 6, 5, and 1, and the 6, 5, and the last 1 have the same place values. For example, it s different because 651 has five digits instead of four, and the first 1 is in the ten thousands place instead of in the thousands place. Chapter 2 Test (Master) pp a) For example, 2 ten thousands blocks, 3 thousands blocks, 7 hundreds blocks, 2 tens blocks, 8 ones blocks b) twenty three thousand seven hundred twenty-eight c) a) b) 86 3 Chapter 2: Numeration Copyright 05 by Thomson Nelson

3 4. For example, the Colorado Rockies because 39 thousand is greater than 37 thousand. 5. a) Uranus b) Titan c) Uranus, Neptune, Earth, Venus, Titan 6. a) 45 2 b) a) For example, an engineer working on the tunnel would need to know its exact measurements. b) For example, someone riding the train might want to know just the approximate length of the tunnel Value in the tenths place Value in the hundredths place a) 14. b) m; 4.6 m 12. a) 1; 0.6 b) ; 29.9 c) 1; 1.1 d) 9; a) 1.01 < 1.11 b) 9.81 > 8.91 c) 0.43 < 4.0 d) 7 > 0.77 Chapter Task (Master) pp A. Speed of the fastest skateboarder (The last two digits must be less than ) or 0. ( The last two digits must be greater than.) 1.66 or The speed of the fastest skateboarder is 0.66 km each hour. B. For example, what is the largest four-leaf clover collection? I am a five-digit whole number. The digit in the thousands place is the same as the digit in the tens place. When rounded to the nearest thousand, I am I have the largest even digit in the ones place. The digit in the hundreds place is the greatest digit possible in any column. For example, what is the greatest racehorse speed? I need 4 columns on a place value chart to represent my number. The digit in the tens place is the same as the digit in the tenths place. The value in the hundredths place is hundredths greater than my number equals.00. For example, what is the greatest wingspan on any aircraft? I am a decimal hundredth. I could represent the whole number with 6 tens blocks and 6 ones blocks. Three of my digits are the same. I am less than 67.00, but greater than 66.. I have 5 hundredths. C. For example: Four-leaf clover collection. rounds to or The clues lead me to the answer of Racehorse speed or. or = D , 69.62, 0.66, Copyright 05 by Thomson Nelson 91

4 Lesson 3 Answers (continued from p. 25) C. For example, 22 of Container W, 7 of Container X, 1 of Container Y, and 2 of Container Z D. For example, 21 of Container W, 17 of Container X, 1 of Container Y, and 2 of Container Z; of Container W, 27 of Container X, 1 of Container Y, and 2 of Container Z; of Container W, 127 of Container X, 1 of Container Y, and 2 of Container Z; 227 of Container X, 1 of Container Y, and 2 of Container Z; 2 of Container X, 71 of Container Y, and 2 of Container Z 1. For example, I looked at the combination of containers and then I traded larger containers for smaller ones. I first traded two 000 L containers for twenty 00 L containers. I kept trading larger containers for smaller containers to get the different answers. 2. For example, the last 2 digit means there are 2 L, so I have to use two of Container Z. Container Y is the next smallest container, but it s L, which is too big to use for 2 L. 3. For example, the number of litres held by each container is the same as the place value of each of the base ten blocks. 4. For example, if I trade in the container Vs for container Ws, I ll have 22 container Ws and will know that has 22 thousands. If I trade all the container Vs and Ws for container Xs, I ll have 227 container Xs, and will know there are 227 hundreds. If I trade in all the container Vs, Ws, and Xs for container Ys, I ll have 2271 container Ys, and will know there are 2271 tens. Lesson 5 Answers (continued from p. 33) 3. a) b) b) a) 000, , 0 b) For example, rounded to the nearest ten thousand is 000, and rounded to the nearest thousand is You wouldn t round to because that s not the closest thousand. c) Belleville and Cornwall; yes 5. a) 000, , 32 0 b) 000, 000, 0 c) 000, , a) ; for example, if you round to the nearest thousand, it s , but if you round to the nearest thousand, it s b) 58 0; or 59 0 c) There are two sets of answers. For example, if 000 is the population rounded to the nearest thousand, then the lowest possible population would be 59 0 and the highest would be 499 or 0. If 000 is the population rounded to the nearest ten thousand, then the lowest possible population would be and the highest would be or Chapter 2: Numeration Copyright 05 by Thomson Nelson

5 Lesson 6 Answers (continued from p. 37) 3. a) For example, I think Martin used math language and explained his thinking when he wrote that it would be better to provide either the average mass of the blue whale, or tell how the number was rounded to b) For example: How can you introduce your concerns in an opening sentence? Why don t you think they needed to use decimal tenths for speed? What mathematical language could you use to describe the number to be used for the mass of the calf? 4. For example: I am confused because some of the numbers are rounded and some are not. I think you should say how you rounded your numbers. I think you could say the exact number of national parks. Are there a few more or a lot more than 0? How did you round this number? Is Mount Logan really m above sea level or is this a rounded number? I am not sure because you used a rounded number for Great Bear Lake. I think you should have given an exact number for the area of Great Bear Lake, like you did for the longest river. You could have included the average temperature for Ottawa. Copyright 05 by Thomson Nelson 93