Go Math Chapter 7 Review Flashcards
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Questions and Answers

What fraction of the pets are calico cats?

  • 5/6
  • 2/3 (correct)
  • 1/2
  • 3/4
  • What is the product of $6 \times \frac{3}{8}$ in simplest form?

    2 1/4

    What is the product of $\frac{3}{8} \times \frac{8}{9}$ in simplest form?

    1/3

    What is the product of $5 \times \frac{4}{5}$ in simplest form?

    <p>4</p> Signup and view all the answers

    What is the product of $\frac{2}{5} \times \frac{4}{7}$ in simplest form?

    <p>8/35</p> Signup and view all the answers

    What is the product of $2 \times \frac{1}{8}$ in simplest form?

    <p>1/4</p> Signup and view all the answers

    What is the product of $\frac{4}{9} \times \frac{4}{5}$ in simplest form?

    <p>16/45</p> Signup and view all the answers

    What is the product of $\frac{3}{4} \times 1 \frac{1}{2}$ in simplest form?

    <p>1 1/8</p> Signup and view all the answers

    What is the product of $4 \frac{2}{5} \times 1 \frac{1}{2}$ in simplest form?

    <p>6 3/5</p> Signup and view all the answers

    What is the product of $2 \frac{1}{2} \times 1 \frac{1}{5}$ in simplest form?

    <p>3</p> Signup and view all the answers

    What is the product of $16 \times 2 \frac{1}{2}$ in simplest form?

    <p>40</p> Signup and view all the answers

    What is the product of $1 \frac{4}{5} \times 15$ in simplest form?

    <p>27</p> Signup and view all the answers

    What is the product of $1 \frac{1}{8} \times 2 \frac{1}{3}$ in simplest form?

    <p>2 5/8</p> Signup and view all the answers

    What is the product of $\frac{3}{4} \times 6 \frac{5}{6}$ in simplest form?

    <p>5 1/8</p> Signup and view all the answers

    What is the product of $4 \frac{2}{5} \times 10$ in simplest form?

    <p>44</p> Signup and view all the answers

    What is the product of $26 \times 2 \frac{1}{2}$ in simplest form?

    <p>65</p> Signup and view all the answers

    What is the product of $6 \times 3 \frac{2}{3}$ in simplest form?

    <p>22</p> Signup and view all the answers

    What is the product of $1 \frac{2}{3} \times 4 \frac{2}{5}$ in simplest form?

    <p>7 1/3</p> Signup and view all the answers

    What is the product of $1 \frac{1}{7} \times 1 \frac{3}{4}$ in simplest form?

    <p>2</p> Signup and view all the answers

    What is the product of $8 \frac{1}{3} \times \frac{3}{5}$ in simplest form?

    <p>5</p> Signup and view all the answers

    What is the product of $2 \frac{5}{8} \times 1 \frac{2}{3}$ in simplest form?

    <p>4 3/8</p> Signup and view all the answers

    What is the area of Nancy's garden with dimensions 4 1/2 feet by 3 3/4 feet?

    <p>16 7/8 square feet</p> Signup and view all the answers

    What is the area of the rug that is 2 3/4 feet long and 2 1/2 feet wide?

    <p>6 7/8 square feet</p> Signup and view all the answers

    What is the area of a painting that is 2 2/3 feet long and 1 1/2 feet high?

    <p>4 square feet</p> Signup and view all the answers

    What is the area of the base of a fountain with dimensions 1 2/3 feet by 2 2/3 feet?

    <p>4 4/9 square feet</p> Signup and view all the answers

    What is the area of one tile measuring 1 1/2 feet long by 2 3/5 feet wide?

    <p>3 9/10 square feet</p> Signup and view all the answers

    Determine if the product of $\frac{7}{3} \times \frac{2}{3}$ is greater than, less than, or equal to $\frac{2}{3}$.

    <p>Greater than</p> Signup and view all the answers

    Determine if the product of $\frac{3}{3} \times \frac{2}{3}$ is greater than, less than, or equal to $\frac{2}{3}$.

    <p>Equal to</p> Signup and view all the answers

    Determine if the product of $\frac{1}{3} \times \frac{2}{3}$ is greater than, less than, or equal to $\frac{2}{3}$.

    <p>Less than</p> Signup and view all the answers

    Using the SYMBOLS, determine if the product will be >, <, or =.

    <p>=</p> Signup and view all the answers

    Determine if the product of $\frac{2}{7} \times 3 \frac{2}{7}$ is greater than, less than, or equal to $3 \frac{2}{7}$.

    <p>&lt;</p> Signup and view all the answers

    Study Notes

    Fractions and Products

    • In a pet show, 5/6 of pets are cats and 4/5 of those cats are calico, resulting in 2/3 of the pets being calico cats.
    • Products involving fractions include:
      • 6 x 3/8 = 2 1/4
      • 3/8 x 8/9 = 1/3
      • 5 x 4/5 = 4
      • 2/5 x 4/7 = 8/35
      • 2 x 1/8 = 1/4
      • 4/9 x 4/5 = 16/45
      • 3/4 x 1 1/2 = 1 1/8
      • 4 2/5 x 1 1/2 = 6 3/5
      • 2 1/2 x 1 1/5 = 3
      • 16 x 2 1/2 = 40
      • 1 4/5 x 15 = 27
      • 1 1/8 x 2 1/3 = 2 5/8
      • 3/4 x 6 5/6 = 5 1/8
      • 4 2/5 x 10 = 44
      • 26 x 2 1/2 = 65
      • 6 x 3 2/3 = 22
      • 1 2/3 x 4 2/5 = 7 1/3
      • 1 1/7 x 1 3/4 = 2
      • 8 1/3 x 3/5 = 5
      • 2 5/8 x 1 2/3 = 4 3/8

    Area Calculations

    • Use an area model for multiplication:
      • 1 1/3 x 2 1/2 = 3 1/3
      • 1 3/8 x 2 1/2 = 3 7/16
      • 1 1/9 x 1 2/3 = 1 23/27
      • Nancy's garden dimensions: 4 1/2 feet by 3 3/4 feet equals an area of 16 7/8 square feet.
      • Rug dimensions: 2 3/4 feet long and 2 1/2 feet wide equal an area of 6 7/8 square feet.
      • Painting area: 2 2/3 feet long and 1 1/2 feet high equals 4 square feet.
      • Fountain base dimensions: 1 2/3 feet by 2 2/3 feet equal 4 4/9 square feet.
      • Carpet tile dimensions: 1 1/2 feet by 2 3/5 feet equal an area of 3 9/10 square feet.

    Comparison of Products

    • Analyze whether the product is greater than, less than, or equal to a given fraction:
      • 7/3 x 2/3 is greater than 2/3.
      • 3/3 x 2/3 is equal to 2/3.
      • 1/3 x 2/3 is less than 2/3.
      • 7/7 x 3 2/7 equals 3 2/7.
      • 2/7 x 3 2/7 is less than 3 2/7.

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