Math Final

3(c). Look at the collection of base-ten materials. What number is represented if the long is 1?

25.4

7(c). Which fraction in each pair is larger? Explain without using common denominators, cross multiplication, or decimals. 17/24 or 41/60

25.4

3(a). Look at the collection of base-ten materials. What number is represented if the small cube is 1?

254

7(a). Which fraction in each pair is larger? Explain without using common denominators, cross multiplication, or decimals. 11/28 or 11/31

254

50. Nicholas buys three kinds of candy bars. One kind comes 10 bars to a box. One kind comes 12 bars to a box, and one kind comes 18 bars to a box. He is going to repackage them with one of each of the three kinds of candy in each package. How many boxes of each kind should he buy so that he will not have any of the candy bars left over?

18 boxes of 10 bars; 15 boxes of 12 bars; 10 boxes of 18 bars

47(d). Determine whether each number is prime, composite, or neither. Explain how you know using definitions d. 1

2 is prime. Its only factors are 1 and 2.

13(a). Finish the story problem so that the problem illustrates 8 - 5 and uses the given approach of subtraction. Marshall has 8 pencils.... take from: result unknown

He gave 5 of his pencils to his sister. How many pencils does Marshall have left?

13(b). Finish the story problem so that the problem illustrates 8 - 5 and uses the given approach of subtraction. Marshall has 8 pencils.... put together/take apart: addend unknown

His pencils are either red or yellow. If 5 pencils are red, how many are yellow?

13(c). Finish the story problem so that the problem illustrates 8 - 5 and uses the given approach of subtraction. Marshall has 8 pencils.... comparison: difference unknown using the word "fewer"

Jane has 5 pencils. How many fewer pencils does Jane have than Marshall?

13(c). Finish the story problem so that the problem illustrates 8 - 5 and uses the given approach of subtraction. Marshall has 8 pencils.... comparison: smaller unknown using the word "more."

Marshall has 5 more pencils than Jane. How many pencils does Jane have?

5. Using the Common Core definition, carefully and precisely interpret 8/3. Then write 8/3 as a mixed number.

The fraction 8/3 means "8 parts and each part is 1/3 of a whole." It takes three 1/3s to make one whole. You can make 2 wholes with 2 parts left. So 8/3= 2 2/3

48. Find GCF (12, 20) and LCM (12, 20) by listing factors and multiples of 12 and 20.

The largest factor in common is 4.

49. Find GCF(4620, 1020) and LCM(4620, 1020) using the slide method. (Don't do the calculation for the LCM.)

The smallest multiple in common is 60.

3(b). Look at the collection of base-ten materials. What number is represented if the flat is 1?

2.54

7(b). Which fraction in each pair is larger? Explain without using common denominators, cross multiplication, or decimals. 7/15 or 21/40

2.54

8. If the group of dogs shown represents 3/7 of the dogs at the pound, how many dogs are there at the pound? 9 dogs

21 dogs

36. Decide whether the following are word problems for 1/2 x 5/6, 1/2 / 5/6 5/6 / 1/2 5/6 - 1/2 e. Terry brownies contain 1/2 pound of pecans per batch. He has 5/6 pound of pecans. After he makes one batch of brownies how many pounds of pecans does Terry have left?

Terry's brownies contain 1/2 cup of cocoa per batch. There is 5/6 cup of cocoa left in the can. How many batches of brownies can Terry make?

11(a). Frank is making a recipe that calls for 3/4 cup of ketchup. Frank only has 1/3 cup of ketchup. Assuming that Frank has enough of the other ingredients, what fraction of the recipe can Frank make? Make a math drawing to solve the problem.

The fractions use different sized parts of a whole cup of ketchup. Rewrite both fractions using a common denominator. As the picture shows, Frank has 4 parts of the 9 parts he needs. Frank can make 4/9 of a recipe.

11(b). Frank is making a recipe that calls for 3/4 cup of ketchup. Frank only has 1/3 cup of ketchup. Assuming that Frank has enough of the other ingredients, what fraction of the recipe can Frank make? What fraction computation would solve this problem?

This is the how many groups interpretation of division: 1/3 / 3/4 = 1/3 x 4/3= 4/9

4. Plot the fractions 1/3, 5/6, and 5/4 on the number line below. Use equal intervals throughout so it is clear how the fractions relate to the given numbers and each other.

To plot the fractions, rewrite them using a common denominator:1/3=4/12 ,1/2=6/12 5/6=10/12, and 5/4=15/12.Because you know the locations of 0 and 1/2(6/12) partition the distance between them into 6 parts. Each part represents 1/12. The remaining fraction can then be plotted