Question

1. circle all the statements that are true.

a. the opposite of 4 is -4.
b. the number -5 is located to the right of 0.
c. the opposite of the opposite of -3 is -3.
d. zero is a positive number.
e. the number -2 is greater than -10.

1. a submarine is at an elevation of -250 feet. a drone is flying at an elevation of 150 feet.

a. what does 0 represent in this context?
b. the submarine dives deeper. which of the following integers could represent its new location: -100, 0, -200, or -300? explain how you know.

1. fill in the blank using <, >, or =.

a. -5 ______ -2
b. -1.5 ______ 0
c. \\(\frac{5}{6}\\) ______ \\(-\frac{1}{4}\\)

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Explanation:

Question 10

• a: The opposite of a number \( n \) is \( -n \), so opposite of 4 is -4. True.
• b: Negative numbers are left of 0 on number line. -5 is left, not right. False.
• c: Opposite of -3 is 3, opposite of 3 is -3. So opposite of opposite of -3 is -3. True.
• d: Zero is neither positive nor negative. False.
• e: On number line, -2 is to the right of -10, so -2 > -10. True.

Elevation of submarine is -250 (below sea level), drone is 150 (above). So 0 represents sea level (the reference point between above and below).

Submarine is at -250. Diving deeper means going to a more negative (lower) elevation. Among -100 (higher than -250), 0 (higher), -200 (higher than -250), -300 (lower than -250). So -300 is deeper.

Answer:

a. The opposite of 4 is -4, c. The opposite of the opposite of -3 is -3, e. The number -2 is greater than -10

Question 11

Part a