Integers Quiz Questions And Answers

When you multiply a negative number by a positive number, you're essentially combining groups of the positive number but in the opposite direction.

So, when you have -8 multiplied by 5, it means you have 5 groups of -8.

Here's how you can visualize it:

-8 + (-8) + (-8) + (-8) + (-8) = -40

Each group of -8 adds up to -40. So, when you combine 5 groups of -8, you end up with a total of -40.

That's why -8 multiplied by 5 equals -40.

When two positive numbers are added together, the result is always a positive number. This is because adding positive numbers means combining quantities that are greater than zero, resulting in a larger quantity. Therefore, the sum of two positive numbers will always be positive.

When you multiply or divide integers with the same sign, the answer is always positive, not negative.

When adding integers with different signs, the rule is to subtract the smaller number from the larger number and take the sign of the larger number. This is because when we add a positive number and a negative number, the result will always have the sign of the larger number. For example, if we add +5 and -3, we subtract 3 from 5 and take the sign of 5, which is positive. Therefore, the statement is true.

When adding two negative numbers, the negative signs indicate a decrease or subtraction. Therefore, adding a negative number to another negative number will result in a larger decrease or a more negative value. This is why the answer is a negative number.