When adding a positive number and a negative number, subtract the absolute value of the negative from the positive. The result is 4 because 7 - 3 equals 4.

Subtracting 8 from -5 moves further into the negative direction. The correct answer is -13 because -5 - 8 equals -13.

When you add two negative numbers, you add their absolute values and keep the negative sign. Thus, (-6) + (-2) equals -8.

Multiplying a positive number by a negative number yields a negative product. Since 4 times 3 equals 12, the correct answer is -12.

Dividing a negative number by a positive number results in a negative quotient. Here, 15 divided by 3 is 5, so (-15) ÷ 3 equals -5.

Multiplying -4 by 6 involves multiplying the absolute values and then applying a negative sign. The correct answer is -24, which reinforces the rules of multiplication with negatives.

Dividing 12 by -3 means you first divide the numbers ignoring the signs and then assign a negative sign to the result. The answer is -4, demonstrating integer division rules with negatives.

Subtracting a negative number is the same as adding its positive value. Thus, (-7) - (-2) becomes -7 + 2, which equals -5. This reinforces the process of handling subtracting negatives.

Subtracting a negative number is equivalent to adding its positive value. In this problem, 3 - (-8) equals 3 + 8, which is 11. It demonstrates the basic rule for subtracting negatives.

Adding a negative number and a positive number requires subtracting the absolute value of the negative from the positive. Here, 15 minus 9 equals 6. This problem reinforces the rules of adding integers with different signs.

Multiplying two negative numbers results in a positive product. Since (-3) × (-4) equals 12, the correct answer is 12. This fundamental rule is essential in integer multiplication.

Dividing two negative numbers yields a positive result. Here, 12 divided by 3 is 4, so (-12) ÷ (-3) equals 4. This question reinforces division rules with negative integers.

Following the order of operations, the multiplication (-3) × 2 is performed before the addition. This gives -6, and then 7 + (-6) equals 1. The problem emphasizes the significance of performing multiplication before addition.

When squaring a negative number, the result is positive because a negative times a negative gives a positive. Here, (-2)² equals 4, demonstrating this exponent rule. It reinforces careful treatment of exponents with negative bases.

According to the order of operations, multiplication comes first: 4 × (-3) equals -12. Then adding -10 results in -22. This question combines multiplication and addition with negative integers.

First, simplify the expression inside the brackets: 2 - (-4) becomes 2 + 4, which equals 6, and then adding (-1) gives 5. Multiplying -3 by 5 yields -15. This problem combines several operations in one expression.

Calculate the net displacement by adding the movements: -20 + 8 equals -12, and then -12 - 15 equals -27. The final position is 27 meters below the starting point. This word problem illustrates how to combine several integer operations.

First, distribute -3 to get 2x + 3x - 12, which simplifies to 5x - 12. Setting 5x - 12 equal to -2 and solving gives 5x = 10, so x = 2. This problem tests skills in distribution and solving linear equations with integers.

First, multiply (-2) and (-3) to get 6, then divide 4 by (-2) to obtain -2. Subtracting a negative (-(-5)) converts to adding 5, so the final result is 6 - 2 + 5 which equals 9.

Simplify the expression in the first bracket: (-8 ÷ 2) equals -4, and -4 multiplied by (-3) gives 12. In the second bracket, -4 + 1 equals -3, so 7 - (-3) is 10. Subtracting the second bracket from the first gives 12 - 10 = 2.