Math / Numbers & Operations

QuestionLook at the following inequalities. $\begin{array}{l} 1,000,000>\frac{7}{23}, 0<\frac{7}{23}, 22>\frac{7}{23} \\ -1,000<\frac{7}{23},-\frac{18}{19}<\frac{7}{23}, \frac{7}{23}>0.2 \\ \frac{7}{23}<\frac{1}{2}, \frac{7}{23}<4 \frac{1}{6} \end{array}$ a. Which of the numbers above are the right of $\frac{7}{23}$ on a number line $\qquad$ b. Which of the numbers above are the left of $\frac{7}{23}$ on a number line?

Studdy Solution

STEP 1

1. We are given a set of inequalities involving the fraction $\frac{7}{23}$ .
2. We need to determine which numbers are to the right and which are to the left of $\frac{7}{23}$ on a number line.
3. A number is to the right of $\frac{7}{23}$ if it is greater than $\frac{7}{23}$ .
4. A number is to the left of $\frac{7}{23}$ if it is less than $\frac{7}{23}$ .

STEP 2

1. Identify numbers greater than $\frac{7}{23}$ .
2. Identify numbers less than $\frac{7}{23}$ .

STEP 3

List the inequalities where the number is greater than $\frac{7}{23}$ .
- $1,000,000 > \frac{7}{23}$ - $22 > \frac{7}{23}$ - $\frac{7}{23} > 0.2$

STEP 4

List the inequalities where the number is less than $\frac{7}{23}$ .
- $0 < \frac{7}{23}$ - $-1,000 < \frac{7}{23}$ - $-\frac{18}{19} < \frac{7}{23}$ - $\frac{7}{23} < \frac{1}{2}$ - $\frac{7}{23} < 4 \frac{1}{6}$
a. Numbers to the right of $\frac{7}{23}$ on a number line are: $1,000,000, \quad 22, \quad 0.2$
b. Numbers to the left of $\frac{7}{23}$ on a number line are: $0, \quad -1,000, \quad -\frac{18}{19}, \quad \frac{1}{2}, \quad 4 \frac{1}{6}$

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