Question

1.Write an equation for the sentence: the difference of 12w and -9 is -22
2. Order the numbers -7/4,3/4,4/3 and -2 1/4 from least to greatest

Answer 1

1. To write an equation for the sentence "the difference of 12w and -9 is -22," we start by interpreting the phrase "the difference of 12w and -9" as \( 12w - (-9) \), which simplifies to \( 12w + 9 \). Thus, the equation becomes:

\[
12w + 9 = -22
\]

2. To order the numbers \(-\frac{7}{4}\), \(\frac{3}{4}\), \(\frac{4}{3}\), and \(-2\frac{1}{4}\) from least to greatest, we'll first convert the mixed number into an improper fraction.

- \(-2\frac{1}{4} = -\frac{8}{4} - \frac{1}{4} = -\frac{9}{4}\)

Now we have:
- \(-\frac{9}{4}\)
- \(-\frac{7}{4}\)
- \(\frac{3}{4}\)
- \(\frac{4}{3}\)

Next, we need to order these:

1. \(-\frac{9}{4} \approx -2.25\)
2. \(-\frac{7}{4} \approx -1.75\)
3. \(\frac{3}{4} = 0.75\)
4. \(\frac{4}{3} \approx 1.33\)

Now, ordering these from least to greatest gives:

\[
-\frac{9}{4}, -\frac{7}{4}, \frac{3}{4}, \frac{4}{3}
\]

So the final ordered list is:
\(-2\frac{1}{4}, -\frac{7}{4}, \frac{3}{4}, \frac{4}{3}\) from least to greatest.