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Visualize a number line.<br />
• 3.1 1.2<br />
+1.2<br />
–4 –3<br />
–2<br />
–1<br />
–3.1 –1.9<br />
3.1 1.2 1.9 This is an addition statement.<br />
• 3.1 (1.2)<br />
Remember that when we add a negative number, we move to the left.<br />
–1.2<br />
1 2<br />
3<br />
4<br />
1.9 3.1<br />
3.1 (1.2) 1.9<br />
Example 3<br />
Solving a Problem by Adding <strong>Rational</strong> <strong>Number</strong>s<br />
At the beginning of June, the Frosty Snow Blower Company was $235.46 in debt.<br />
By the end of August, the company had increased its debt by $156.71.<br />
a) Use a rational number to represent each amount.<br />
b) Calculate how much the company owed at the end of August.<br />
A Solution<br />
a) A debt of $235.46 can be represented as 235.46.<br />
A debt of $156.71 can be represented as 156.71.<br />
b) At the end of August, the company owed:<br />
235.46 (156.71)<br />
Use a calculator.<br />
235.46 (156.71) 392.17<br />
At the end of August, the company owed $392.17.<br />
110 UNIT 3: <strong>Rational</strong> <strong>Number</strong>s
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