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10.5: Homework

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  • Submit homework separately from this workbook and staple all pages together. (One staple for the entire submission of all the unit homework)
  • Start a new module on the front side of a new page and write the module number on the top center of the page.
  • Answers without supporting work will receive no credit.
  • Some solutions are given in the solutions manual.
  • You may work with classmates but do your own work.

HW #1

Do each of the following steps using your C-strips.

  1. State how many C-strips (each an equal part of the whole) make up one unit.
  2. State which C-strip makes up one part of the whole.
  3. State the fraction that the C-strip in part b represents.
  4. State how many of the C-strips in part b you need to make into a train.
  5. State which C-strip is the length of the train you made in part c

a. If S represents 1 unit, then which C-strip represents 711?

b. If H represents 1 unit, then which C-strip represents 23?

c. If P represents 1 unit, then which C-strip represents 32?

d. If L represents 1 unit, then which C-strip represents 3 ?

e. If Y represents 1 unit, then which C-strip represents 65?

f. If O represents 1 unit, then which C-strip represents 12?

g. If B represents 1 unit, then which C-strip represents 43?

HW #2

Do each step using your C-strips.

  1. State how many C-strips will make up the named C-strip stated in the problem.
  2. Which C-strip makes up one equal part?
  3. State the fraction that the C-strip in part b represents.
  4. State how many of the C-strips in part b will make up one unit.
  5. Form the unit by making a train from the equal parts (C-strip in part b) and state which C-strip has the same length as that train.

a. If O represents 56, then which C-strip is 1 unit?

b. If W represents 17, then which C-strip is 1 unit?

c. If D represents 32, then which C-strip is 1 unit?

d. If N represents 43, then which C-strip is 1 unit?

e. If D represents 3, then which C-strip is 1 unit?

f. If K represents 79, then which C-strip is 1 unit?

HW #3

Do each step using your C-strips.

  1. State which C-strip is one unit.
  2. State which C-strip is the answer.

a. If N represents 23, then which C-strip represents 14?

b. If D represents 34, then which C-strip represents 32?

c. If B represents 32, this which C-strip represents 43?

HW #4

Use your fraction arrays to determine all fractions on the fraction array that are equivalent to 3/4. Do this by finding 3/4 on the array, and seeing what other numbers are the same length. Include a diagram.

HW #5

Use your multiple strips to write 6 fractions equivalent to 5/6. Draw the strips.

HW #6

Use your multiple strips to write 6 fractions equivalent to 3/8 Draw the strips.

HW #7

Compare 3/8 and 1/3 using models. Show all of the steps, and explain the procedure as shown in this module.

HW #8

Add 3/8 and 1/3 using models. Show all of the steps, and explain the procedure as shown in this module.

HW #9

Do the following subtraction using models: 3/5 – 1/4. Show all of the steps, and explain the procedure as shown in this module.

HW #10

Do the following multiplications using models. Show all of the steps, and explain the procedure as shown in this module.

a. 3/8 2/5

b. 4/7 2/3

HW #11

By looking at the final drawing someone made to model a multiplication of two fractions, determine which multiplication was performed, and then state the answer.

a. 5/6 2/3 OR 2/3 5/6

11a.PNG

b. 1/2 7/8 OR 7/8 1/2

11b.PNG

HW #12

If all of the dots shown for each problem represent 1 unit, determine the multiplication problem that someone did to get the answer, and state the answer.

a. 12a.PNG

b. 12b.PNG

HW #13

Fill in the chart showing how to do the following multiplications using C-strips. The multiplication is in the first column. State an appropriate choice for the unit (name a C-strip, or sum of two C-strips) in the second column. Write the C-strip obtained after the first part of the multiplication (which is the second fraction as a part of the unit) in the third column. Then, do the final multiplication, and write the C-strip obtained in the fourth column. In the fifth column, write a fraction using C-strips putting the final unit obtained in the fourth column as the numerator, and the unit in the denominator. Then, in the last column, write the answer as a fraction. Do not simplify.

a. 1323
b. 1256

HW #14

Perform the following division using the box and dot methods. First define the unit. Then explain and show all of the steps. Include diagrams.

a. 5 ÷ 1/3

b. 3/4 ÷ 1/3

HW #15

Determine if the following statements are true or false by comparing cross products.

a. 19/23 = 57/69

b. 24/37 = 68/91

HW #16

Write each fraction in simplest form using each of the two methods:

(1) prime factorization and

(2) finding GCF.

a. 216420

b. 195286

HW #17

Use cross products to compare each of the following fractions. Use < or >.

a. 18/23 and 5/8

b. 11/18 and 121/250

HW #18

Find 3 rational numbers, written with a common denominator, between 3/8 and 5/8.

HW #19

Find 3 rational numbers, written with a common denominator, between 1/2 and 4/7.

HW #20

a. 21 of John's students have cats at home. This represents 7/10 of John's students. How many students are in John's class? Solve the problem using models. Explain how the model works.

b. At an elementary school, 38 teachers drive alone to work. This represents 2/3 of the teachers. How many teachers work at the school? Solve the problem using models. Explain how the model works.

HW #21

Write in words how to read each of the following decimals.

a. 0.7

b. 0.67

c. 3.28

d. 19.835

HW #22

Multiply the following decimals mentally then do it again by showing the same steps as shown in this module..

a. (0.3)(0.8)

b. (1.2)(0.4)

c. (1.22)(2.3)

d. (3.2)(2.41)

HW #23

For each fraction, determine if it can be written as an equivalent fraction with a power of ten in the denominator. If a fraction cannot be written as a terminal decimal, explain why not. Otherwise, show ALL of the steps to write it as a terminal decimal.

a. 1116

b. 3125

c. 112

d. 940

e. 2156

HW #24

Rewrite each of the following decimals as simplified fractions. For repeating decimals, use the techniques shown in this module. Then, check your answer using a calculator by dividing the numerator by the denominator to see if the result matches the original problem.

a. 0.ˉ7

b. 0.¯72

c. 0.¯235

d. 0.2ˉ5

e. 0.3¯42


This page titled 10.5: Homework is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Julie Harland via source content that was edited to the style and standards of the LibreTexts platform.

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