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What Is a Rational Number? - mrscote

What Is a Rational Number? - mrscote

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Practice Test<br />

1. a) Identify a rational number between 0.5 and 0.6.<br />

b) How do you know the number you identified in part a is a rational number?<br />

2. a) Write the following rational numbers on a copy of the number line below:<br />

1 3 23 11<br />

0.6, 0.3, 2.5, 3.6, 4 , 1 ,– ,<br />

2 10 5 3<br />

–5<br />

–4<br />

–3<br />

–2<br />

–1<br />

0<br />

1<br />

2<br />

3<br />

4<br />

5<br />

b) List the numbers in part a from greatest to least.<br />

3. Evaluate.<br />

4<br />

a) 7.4 (6.1) b) a 3<br />

1<br />

c) (3.2)(0.5) d) a 3 <br />

5 10 b<br />

4 b 3<br />

4. Sarah has a balance of $2.34 in her account.<br />

Each time she makes a withdrawal, she is charged $1.20.<br />

a) <strong>What</strong> does “a balance of $2.34” mean?<br />

b) Sarah makes three more withdrawals of $20.50 each.<br />

<strong>What</strong> is her balance now?<br />

How can you use rational numbers to calculate it?<br />

c) Sarah’s overdraft limit is $500.00. How many more $20.50 withdrawals<br />

can she make? Justify your answer.<br />

5. Evaluate. How could you check your answers?<br />

a) (56.8)(14.5) b) a31 a2 3 3 b 10 b<br />

c) a42 a1 5 d) 45.8 (12.2)<br />

5 b 7 b<br />

6. a) A student evaluated the expression below and got the answer 1.<br />

<strong>What</strong> is the correct answer? How do you know?<br />

1<br />

a 1 2<br />

a3 4 b 4 b<br />

b) <strong>What</strong> might the student have done wrong to get the answer 1?<br />

7. Evaluate. Use a calculator when you need to.<br />

a) 3.1 4.5 (2.9) 7.2 (3)<br />

b) (9.7) (1.2) 5.4 2 (3.6)<br />

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

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