Chapter Review
Textbook
8 Math Nelson
Chapter
Chapter 9
Section
Chapter Review
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Solutions 65 Videos

Sketch a model and calculate.

\frac{3}{5}+\frac{2}{7}

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Q1a

Sketch a model and calculate.

\frac{3}{5}-\frac{2}{7}

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Q1b

a) Calculate the sum of \frac{3}{5} and \frac{2}{3}.

b) Calculate the difference of \frac{3}{5} and \frac{2}{3}.

c) How much greater is the sum than the difference?

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Q2

Calculate.

\frac{5}{8}+\frac{1}{3}

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Q3a

Calculate.

\frac{3}{4}+\frac{5}{6}

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Q3b

Calculate.

\frac{2}{5}+\frac{1}{7}

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Q3c

Calculate.

\frac{2}{5}-\frac{1}{10}

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Q3d

Calculate.

\frac{5}{9}-\frac{2}{7}

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Q3e

Calculate.

\frac{7}{8}-\frac{2}{3}

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Q3f

Jake mowed about \frac{3}{5} of the school lawn yesterday. He mowed another \frac{1}{4} of the lawn this morning. How much is left to mow?

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Q4

Sketch a model, and calculate the answer.

2\frac{1}{5}+3\frac{3}{5}

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Q5a

Sketch a model, and calculate the answer.

2\frac{4}{5}+3\frac{1}{2}

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Q5b

Sketch a model, and calculate the answer.

8-2\frac{1}{3}

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Q5c

Sketch a model, and calculate the answer.

7\frac{3}{10}-2\frac{1}{4}

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Q5d

\frac{a}{b} is a fraction. The sum of \frac{a}{b} and \frac{b}{a} is close to 2. List two possible possible values for \frac{a}{b}.

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Q6

Calculate.

2\frac{1}{5}+3\frac{1}{6}

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Q7a

Calculate.

5\frac{1}{2}-3\frac{1}{3}

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Q7b

Calculate.

8-1\frac{3}{5}

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Q7c

Calculate.

6\frac{1}{4}-3\frac{5}{6}

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Q7d

A recipe calls for 1\frac{2}{3} cups of flour and \frac{3}{4} cup of sugar. These are the only dry ingredients. What is the total measure of the dry ingredients?

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Q8

a) Continue this addition pattern to get three more terms in each row.

b) What is the 10th number in the 2nd row?

c) Why does it make sense that all the numerators in the 2nd row are 12?

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Q9

What is the value of each expression?

\frac{1}{5} of \frac{1}{2}

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Q10a

What is the value of each expression?

\frac{3}{8} of \frac{8}{9}

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Q10b

What is the value of each expression?

\frac{2}{3} of \frac{6}{8}

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Q10c

What is the value of each expression?

\frac{4}{6} of \frac{1}{2}

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Q10d

What is the missing fraction in each sentence?

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Q11a

What is the missing fraction in each sentence?

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Q11b

What is the missing fraction in each sentence?

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Q11c

What is the missing fraction in each sentence?

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Q11d

What is the missing fraction in each sentence?

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Q12a

What is the missing fraction in each sentence?

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Q12b

What is the missing fraction in each sentence?

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Q12c

What is the missing fraction in each sentence?

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Q12d

Sketch a model for this calculation.

\frac{3}{4}\times\frac{2}{5}=\frac{6}{20}

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Q13

Which products are greater than \frac{1}{2}?

a) \frac{3}{4}\times\frac{5}{6}

b) \frac{1}{6}\times\frac{7}{8}

c) \frac{3}{9}\times\frac{8}{9}

d) \frac{3}{5}\times\frac{2}{3}

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Q14

How much greater is the first product than the second product?

\frac{3}{4}\times\frac{5}{6} than \frac{1}{4}\times\frac{5}{6}

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Q15a

How much greater is the first product than the second product?

\frac{3}{4}\times\frac{5}{6} than \frac{3}{4}\times\frac{1}{2}

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Q15b

Calculate.

\frac{2}{9}\times\frac{2}{7}

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Q16a

Calculate.

(\frac{3}{5})^2

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Q16b

Calculate.

(\frac{2}{3})^3

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Q16c

Calculate.

\frac{5}{8}\times\frac{2}{3}

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Q16d

Calculate.

\frac{1}{5}\times\frac{5}{7}

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Q16e

Calculate.

\frac{3}{7}\times\frac{2}{5}

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Q16f

About \frac{3}{4} of the students in the drama club are girls. About \frac{3}{4} of these girls are in Grade 8. What fraction of the students in the drama club are Grade 8 girls?

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Q17

Eileen used to be on the phone 3\frac{1}{2} times as much as her sister every day. As a New Year's resolution, she decided to cut down to about \frac{2}{5} of the time she used to be on the phone. About how many times as much as her sister is Eileen now on the phone?

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Q18

Calculate.

\frac{3}{7}\times3\frac{1}{2}

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Q19a

Calculate.

\frac{2}{5}\times1\frac{3}{5}

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Q19b

Calculate.

1\frac{1}{3}\times1\frac{2}{3}

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Q19c

Calculate.

\frac{5}{6}\times6\frac{12}{25}

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Q19d

Calculate.

2\frac{3}{4}\times3\frac{3}{4}

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Q19e

Calculate.

3\frac{1}{5}\times6\frac{3}{8}

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Q19f

Sketch a model to show \frac{5}{6}\div\frac{1}{3}=2\frac{1}{2}.

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Q20

Explain how you know that \frac{4}{6}\div\frac{3}{6} has the same quotient as \frac{4}{5}\div\frac{3}{5}.

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Q21

Calculate.

\frac{5}{6}\div\frac{1}{6}

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Q22a

Calculate.

\frac{5}{8}\div\frac{1}{4}

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Q22b

Calculate.

\frac{5}{6}\div\frac{1}{4}

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Q22c

Calculate.

\frac{3}{8}\div\frac{2}{9}

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Q22d

What fraction calculation can you use to determine the number of quarters in $4.50?

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Q23

Pia used \frac{2}{3} of her sugar to make \frac{3}{4} of a batch of cookies. How much of her sugar would she need to make the whole batch?

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Q24

Choose two fractions to make each statement true.

The sum is greater than the product.

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Q25a

Choose two fractions to make each statement true.

The sum is less than the product.

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Q25b

Choose two fractions to make each statement true.

The quotient is greater than the sum.

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Q25c

Use fractions to explain why 4.5\times0.5 equals 2.25.

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Q26

Which expression has the greatest value? How do you know?

a) \frac{4}{5}\times\frac{2}{3}-\frac{1}{5}\times\frac{5}{8}

b) \frac{4}{5}\times(\frac{2}{3}-\frac{1}{5})\times\frac{5}{8}

c) (\frac{4}{5}\times\frac{2}{3}-\frac{1}{5})\times\frac{5}{8}

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Q27

Where can you place brackets to make this equation true?

\frac{3}{5}+\frac{1}{4}\div\frac{2}{3}+\frac{1}{3}=\frac{193}{120}

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Q28