Final answer:
Adding and subtracting numbers of different signs follow specific rules. The same applies to multiplying and dividing numbers.
Step-by-step explanation:
Addition
- When two positive numbers add, the answer has a +ve sign, e.g., 3 + 2 = 5.
- When two negative numbers add, the answer has a -ve sign, e.g., -4 + (-2) = -6.
- When two numbers having opposite signs add, subtract the smaller number from the larger number, and the answer has the sign of the larger number. For example, -5 + 3 = -2.
- In subtraction, change the sign of the subtracted number and then follow the addition rules. For example, subtract 3 from 5: 5 - (-3) = 5 + 3 = 8.
Multiplication
- When two positive numbers multiply, the answer has a +ve sign, e.g., 2 x 3 = 6.
- When two negative numbers multiply, the answer has a +ve sign, e.g., (-4) x (-3) = 12.
- When the two numbers multiplied have opposite signs, the answer has a -ve sign, e.g., (-3) x 2 = -6 and 4 x (-4) = -16.
- When a number is divided by another number, it follows multiplication rules for the sign.