The waves just keep coming! Meg compared the locations of the treasures to try to collect them more quickly. Which statements are true? Check all that apply.

Question

Negative 1 greater-than negative three-fourths
Negative one-half less-than 0
Three-fourths less-than negative 1
Negative one-fourth = one-fourth
Negative 1 less-than one-fourth

Answer 1

To evaluate the truth of the statements, we need to analyze the inequalities and equalities given:

1. Negative 1 greater than negative three-fourths

   • \(-1 > -\frac{3}{4}\) is false. (On the number line, -1 is to the left of -3/4)

2. Negative one-half less than 0

   • \(-\frac{1}{2} < 0\) is true. (Negative one-half is less than 0)

3. Three-fourths less than negative 1

   • \(\frac{3}{4} < -1\) is false. (Positive three-fourths is greater than -1)

4. Negative one-fourth = one-fourth

   • \(-\frac{1}{4} = \frac{1}{4}\) is false. (Negative one-fourth is not equal to positive one-fourth)

5. Negative 1 less than one-fourth

   • \(-1 < \frac{1}{4}\) is true. (Negative one is less than positive one-fourth)

The true statements are:

• Negative one-half less than 0
• Negative 1 less than one-fourth