Question

1. consider -1 < -\frac{1}{2}. jada says this inequality means

egative one is less than negative one - half!\ scott says it means
egative one - half is greater than negative one.\ who is correct? explain.
for problems 2 - 5, write the number that is less than the other number. use the number line if needed.

1. 4, -2
2. 0, -7
3. -3.46, -3.64
4. -\frac{99}{100}, -\frac{201}{100}

Explanation:

Step1: Analyze the inequality -1 < -1/2

On a number - line, numbers to the left are smaller. -1 is to the left of -1/2, so -1 < -1/2 means negative one - half is greater than negative one. Scott is correct.

Step2: Compare 4 and -2

On the number - line, -2 is to the left of 4. So -2 < 4.

Step3: Compare 0 and -7

On the number - line, -7 is to the left of 0. So -7 < 0.

Step4: Compare -3.46 and -3.64

On the number - line, -3.64 is to the left of -3.46. So -3.64 < -3.46.

Step5: Compare -99/100 and -201/100

Since -201/100 = - 2.01 and -99/100=-0.99, and -2.01 is to the left of -0.99 on the number - line, -201/100 < -99/100.

Answer:

1. Scott is correct.
2. -2
3. -7
4. -3.64
5. -201/100