Solve the following problems involving integers: 6. Find the opposite of −15. 7. Calculate −15 + 12. 8. What…

Question

Solve the following problems involving integers: 6. Find the opposite of −15. 7. Calculate −15 + 12. 8. What is −2 minus 8? 9. If the temperature was 4°C and dropped to −5°C, how many degrees did it d

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Here are the solutions to the problems:

Section A: Multiple Choice Questions

The opposite of a number is its additive inverse. The opposite of $-15$ is $-(-15) = 15$ . The correct option is C.
Step 1: Perform the multiplication first according to the order of operations.
$5 \times (-3) = -15$

Perform the addition.
$$ -15 + 12 = -3 $$ The correct option is **A**.
8. Moving to the left on a number line means subtracting. Starting at $-2$ and moving 8 units to the left means: $-2 - 8 = -10$ The correct option is B.
1. To find how many degrees the temperature dropped, subtract the final temperature from the initial temperature. $\text{Drop} = 4^\circ\text{C} - (-5^\circ\text{C})$
Simplify the expression.
$$ 4 - (-5) = 4 + 5 $$
Perform the addition.
$$ 4 + 5 = 9 $$ The temperature dropped by $\boxed{9^\circ\text{C}}$. The correct option is **B**.
10. To calculate $(-2)^3$ , multiply $-2$ by itself three times. $(-2)^3 = (-2) \times (-2) \times (-2)$
Multiply the first two numbers.
$$ (-2) \times (-2) = 4 $$
Multiply the result by the third number.
$$ 4 \times (-2) = -8 $$ The correct option is **A**.

Solve the following problems involving integers: 6. Find the opposite of -15. 7. Calculate -15 + 12. 8. What is -2 minus 8? 9. If the temperature was 4°C and dropped to -5°C, how many degrees did it d

Answer

Step-by-step solution

Perform the addition.

Simplify the expression.

Perform the addition.

Multiply the first two numbers.

Multiply the result by the third number.

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