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ENRICHMENT FOR WHOLE NUMBERS Alcorn

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A small city has seven schools. The number of students attending the schools are shown in the table below. A. How many school age children are there in the city all together? B. If the population of the elementary, middle, and high school age children represent about 1/3 of the total population of the city, estimate the total population of the city to the nearest hundred. Express your answer using a number multiplied by a power of ten. C. Comparing the number of elementary school students to the number of high school students, would you conclude that the population of this city is increasing or decreasing? SchoolPopulation Everest Elementary1,240 Mountain Elementary1,410 Valley Elementary1,330 Meadow Middle School1,985 Pine Middle School2,115 Oak View High School2,095 Maple High School2,215 All together means you add. Write the numbers on your paper and find the sum. Be sure to line them up properly. What did you get? Check your answer on the next slide.

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2 22 1,240 1,410 1,330 1,985 2,115 2,095 +2,215 In the ones column 0, 0, 0, 5, 5, 5, and 5 has a sum of 20. Carry the 2 to the tens column and write the 0 below. Then, in the tens column 4, 1, 3, 8, 1, 9, 1, and the 2 you carried over has a sum of 29. Carry the 2 to the hundreds column and write the 9 below. Next, in the hundreds column 2, 4, 3, 9, 1, 0, 2, and the 2 you carried over has a sum of 23. Carry the 2 to the thousands column and write the 3 below. Finally, in the thousands column 1, 1, 1, 1, 2, 2, 2, and the 2 you carried over has a sum of 12. Instead of carrying the 1, write 12 down below the line. The comma goes between the 3 and 2. 12,390 Did you get it right?

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B. If the population of the elementary, middle, and high school age children represent about 1/3 of the total population of the city, estimate the total population of the city to the nearest hundred. Express your answer using a number multiplied by a power of ten. You have to round (estimate) the answer to question A First. Find the hundreds place. Look to the right. Five and up move it up. Four and below, let it go. What do you think the answer is? Write it down. The 3 is in the hundreds place and immediately to the right is a 9. So, bump the 3 up to 4. The answer was 12,400 students. Did you get it right? 12,390 9 is bigger than 5, so bump the 3 up one! 3 is in the hundreds place. Any easy way to think of this is to ask yourself, “Is 390 closer to 300 or 400?”

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B. If the population of the elementary, middle, and high school age children represent about 1/3 of the total population of the city, estimate the total population of the city to the nearest hundred. Express your answer using a number multiplied by a power of ten. Next, you need to understand that we’ll have to multiply the estimate you just came up with by 3 to find out the total population. That’s because only 1/3 of the population is represented by the kids. 1/3 + 1/3 + 1/3 is 3/3 or 1 whole. 1 12,400 X 3 Write your numbers down. Be sure to put the three on the bottom and line the numbers up. Find the product. What did you get? 37,200 people Did you get it right?

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B. If the population of the elementary, middle, and high school age children represent about 1/3 of the total population of the city, estimate the total population of the city to the nearest hundred. Express your answer using a number multiplied by a power of ten. In order to write your answer using the power of ten you must first write down the base number. Remember you are using 37,200. Write the base number down now. 37,200 Did you write 372? Next, count the zeroes. Did you get 2? Finally, write the base number X 10 with the number of zeroes as an exponent next to the 10. 372 x 10 2 2 is an exponent 372 is the base number Did you get it right?

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C. Comparing the number of elementary school students to the number of high school students, would you conclude that the population of this city is increasing or decreasing? Finally, we’re on part C. When you compare numbers you figure out which one is bigger and which one is smaller. In order to do that we must find out how many elementary students there are in all. We must add. SchoolPopulation Everest Elementary 1,240 Mountain Elementary 1,410 Valley Elementary 1,330 Meadow Middle School 1,985 Pine Middle School 2,115 Oak View High School 2,095 Maple High School 2,215 Line up the three numbers correctly and find the sum. What did you get? 1,240 1,410 +1,330 3,980 Did you get it right?

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C. Comparing the number of elementary school students to the number of high school students, would you conclude that the population of this city is increasing or decreasing? SchoolPopulation Everest Elementary 1,240 Mountain Elementary 1,410 Valley Elementary 1,330 Meadow Middle School 1,985 Pine Middle School 2,115 Oak View High School 2,095 Maple High School 2,215 Now you have to find the sum of the high school students. Be sure to line the numbers up correctly. 1 1 2,095 +2,215 Now, compare your two numbers. Which one is smaller? Is the elementary smaller, or is the high school smaller? 4,310 Did you get it right?

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C. Comparing the number of elementary school students to the number of high school students, would you conclude that the population of this city is increasing or decreasing? 3,980 elementary versus 4,310 high school students? What did you say? 4 thousand is more than 3 thousand, so there are more high school students. Lastly, you need to decide if the population of the city is increasing or decreasing…. Well, if there are less young people that would mean…..The population is getting smaller. The “big” vocabulary word for this is decreasing Getting Smaller Getting Bigger Did you get it right?

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