Chapter 1: Q9. (page 16)

The order of the set of rational numbers $0.11, - \frac{1}{9}, - 0.5, \frac{1}{10}$ from least to greatest.

Short Answer

Expert verified

The correct order of rational numbers from least to greatest is $- 0.5, - \frac{1}{9}, \frac{1}{10}, 0.11$ .

Step by step solution

Step 1.

The set of rational numbers $0.11, - \frac{1}{9}, - 0.5, \frac{1}{10}$ .

Step 2. Formula Used.

Rational numbers are of the form $\frac{p}{q}$ where p and q are integers and $q \neq 0$ .

Step 3. Calculation.

Consider the provided statement “The set of rational numbers $0.11, - \frac{1}{9}, - 0.5, \frac{1}{10}$ .”

Convert $- \frac{1}{9}$ and $\frac{1}{10}$ into decimal notation and then compare the set of rational numbers.

Decimal notation for $- \frac{1}{9}$ is $- 0 . \bar{1}$ .

Decimal notation for $\frac{1}{10}$ is 0.1.

Step 4. Rewrite.

Thus, the set of rational number $0.11, - \frac{1}{9}, - 0.5, \frac{1}{10}$ becomes $0.11, - 0 . \bar{1}, - 0.5, 0.1$ .

Step 5. Arrangement.

Now, arrange this set of rational numbers from least to greatest as,

$- 0.5 < - 0 . \bar{1} < 0.1 < 0.11$

$- 0.5 < - \frac{1}{9} < \frac{1}{10} < 0.11$

Hence, the correct order of rational numbers from least to greatest is $- 0.5 < - \frac{1}{9} < \frac{1}{10} < 0.11$ .

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The order of the set of rational numbers $0.11, - \frac{1}{9}, - 0.5, \frac{1}{10}$ from least to greatest.

Short Answer

Step by step solution

Step 1.

Step 2. Formula Used.

Step 3. Calculation.

Step 4. Rewrite.

Step 5. Arrangement.

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The order of the set of rational numbers 0.11, -19, -0.5, 110from least to greatest.

Short Answer

Step by step solution

Step 1.

Step 2. Formula Used.

Step 3. Calculation.

Step 4. Rewrite.

Step 5. Arrangement.

One App. One Place for Learning.

Most popular questions from this chapter

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The order of the set of rational numbers $0.11, - \frac{1}{9}, - 0.5, \frac{1}{10}$ from least to greatest.