Directed Numbers: แบบฝึกหัด

Evaluate the following expression:
\( -9 - (-15) \)

The altitude of a mountain climber changes over three hours as follows:
Hour 1: Ascends \( 450 \) m from base camp (altitude \( 1200 \) m).
Hour 2: Descends \( 15 \% \) of his current altitude.
Hour 3: Changes altitude by \( -120 \) m.
What is the climber's final altitude relative to sea level?

Evaluate the expression:
\( \frac{|-4^2 + (-2)^3 \times (-1)| - (-3)^2}{(-1)^{2024} + (-22) \div 11} \)

Which of the following statements is correct?

In a science experiment, the initial temperature of a liquid is \(12^{\circ}\text{C}\). The temperature then decreases at a constant rate of \(3^{\circ}\text{C}\) per minute for \(7\) minutes. After that, it increases by \(5^{\circ}\text{C}\). What is the final temperature of the liquid?

A point on a number line starts at position \(3\). If it moves \(8\) units to the left, what is its final position?

Given three values A, B, and C:
\( A = -4^2 - (-3) \times 2 \)
\( B = |(-2) \times 5 + 4| \)
\( C = [10 + (-2) \times 6] \div (-1) \)

Evaluate the value of the expression \( \frac{A + B}{C} \).

Find the results of the following.

(a) 7 times 22.
(b) 44 minus 26.
(c) 12 plus 13.
(d) Divide 48 by 8.

A deep-sea exploration submersible starts its operation at a depth of 50 meters below sea level. We represent depths below sea level using negative directed numbers (e.g., 50 m below sea level is $$ -50\text{ m} $$ ) and movement upwards as positive, and movement downwards as negative.