Question

Which sign makes the statement true? -6 1/2 -6 19/20

Answer 1

To determine which sign makes the statement true between -6 1/2 and -6 19/20, we first convert the mixed numbers to improper fractions or decimals for easier comparison.

1. **Convert -6 1/2 to a decimal:**
- \( -6 1/2 = -6 - 0.5 = -6.5 \)

2. **Convert -6 19/20 to a decimal:**
- To convert 19/20, we divide 19 by 20:
- \( 19 \div 20 = 0.95 \)
- So, \( -6 19/20 = -6 - 0.95 = -6.95 \)

Now we can compare the two values:
- -6.5 (for -6 1/2)
- -6.95 (for -6 19/20)

Since \(-6.5\) is greater than \(-6.95\), we can say:

\[
-6 \frac{1}{2} > -6 \frac{19}{20}
\]

Thus, the true statement comparing -6 1/2 and -6 19/20 is:

\[
-6 \frac{1}{2} > -6 \frac{19}{20}
\]

If you were looking for a sign to insert in a statement like this, it would be the greater-than sign (>).