In the following exercises, write as the ratio of two integers.

$$

(a)5

$$

$$

(b)3.19

$$

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In the following exercises, write as the ratio of two integers.

$$

(a)8

$$

$$

(b)-1.61

$$

Joshua F.

Numerade Educator

In the following exercises, write as the ratio of two integers.

$$

(a)-12

$$

$$

(b)9.279

$$

Stephen R.

Numerade Educator

In the following exercises, write as the ratio of two integers.

$$

(a)-16

$$

$$

(b)4.399

$$

Pratul K.

Numerade Educator

In the following exercises, determine which of the given numbers are rational and which are irrational.

$$

0.75,0.22 \overline{3}, 1.39174 \ldots

$$

Sophia R.

Numerade Educator

In the following exercises, determine which of the given numbers are rational and which are irrational.

$$

0.36,0.94729 \ldots, 2.528

$$

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In the following exercises, determine which of the given numbers are rational and which are irrational.

$$

0 . \overline{45}, 1.919293 \ldots, 3.59

$$

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In the following exercises, determine which of the given numbers are rational and which are irrational.

$$

0.1 \overline{3}, 0.42982 \ldots, 1.875

$$

Sophia R.

Numerade Educator

In the following exerdises, identify whether each number is rational or irrational.

$$

(a)\sqrt{25}

$$

$$

(b)\sqrt{30}

$$

John T.

Numerade Educator

In the following exerdises, identify whether each number is rational or irrational.

$$

(a)\sqrt{44}

$$

$$

(b)\sqrt{49}

$$

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In the following exerdises, identify whether each number is rational or irrational.

$$

(a)\sqrt{164}

$$

$$

(b)\sqrt{169}

$$

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In the following exerdises, identify whether each number is rational or irrational.

$$

(a)\sqrt{225}

$$

$$

(b)\sqrt{216}

$$

De'Sean K.

Numerade Educator

In the following exercises, determine wheth number is whole, integer, rational, irrational, and real.

$$

-8,0,1.95286 \ldots, \frac{12}{5}, \sqrt{36}, 9

$$

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In the following exercises, determine wheth number is whole, integer, rational, irrational, and real.

$$

-9,-3 \frac{4}{9},-\sqrt{9}, 0.4 \overline{09} \cdot \frac{11}{6}, 7

$$

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In the following exercises, determine wheth number is whole, integer, rational, irrational, and real.

$$

-\sqrt{100},-7,-\frac{8}{3},-1,0.77,3 \frac{1}{4}

$$

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Field trip All the 5 th graders at Lincoln Elementary School will go on a field trip to the science museum.

Counting all the children, teachers, and chaperones, there will be 147 people. Each bus holds 44 people.

(a)How many buses will be needed?

(b) Why must the answer be a whole number?

(c) Why shouldn't you round the answer the usual way?

Heba Q.

Numerade Educator

Child care Serena wants to open a licensed child care center. Her state requires that there be no more

than 12 children for each teacher. She would like her child care center to serve 40 children.

(a) How many teachers will be needed?

(b) Why must the answer be a whole number?

(c) Why shouldn't you round the answer the usual way?

Rebecca B.

Numerade Educator

In your own words, explain the difference between a rational number and an irrational number.

Will C.

Numerade Educator

Explain how the sets of numbers (counting, whole, integer, rational, irrationals, reals) are related to each

other.

Carrie C.

Numerade Educator