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What Is a Rational Number? - mrscote

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3.3 Subtracting <strong>Rational</strong> <strong>Number</strong>s<br />

FOCUS<br />

• Solve problems that<br />

require subtracting<br />

rational numbers.<br />

Canada’s national debt was $559 billion in 1999.<br />

By 2008, this debt had been reduced to<br />

$467 billion.<br />

How would you write each amount as a<br />

rational number?<br />

How could you use a number line to calculate<br />

the difference in debt?<br />

Investigate 2<br />

Here is part of a stock market report from February 5, 2008,<br />

for some Canadian companies.<br />

Company Stock price at the end of Stock price at the start of<br />

the day ($) the day ($)<br />

Bombardier 4.670 4.710<br />

Canadian National Railway 50.630 51.330<br />

Canadian Tire Corporation 64.840 65.970<br />

Potash Corporation of Saskatchewan 144.580 144.15<br />

For each stock:<br />

➤ Determine: (price at the end of the day) (price at the start of the day)<br />

➤ <strong>What</strong> does it mean when this difference in prices is positive? <strong>Is</strong> negative?<br />

➤ Sketch a number line to show each subtraction.<br />

➤ Use rational numbers to write a subtraction statement.<br />

Reflect<br />

Share &<br />

Compare your strategies and answers with those<br />

of another pair of students.<br />

How did you use what you know about subtracting integers<br />

to subtract rational numbers?<br />

How could you check your answers?<br />

114 UNIT 3: <strong>Rational</strong> <strong>Number</strong>s

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