$multiplying a negative and a positive$

Lets look at some more examples of multiplying integers using these rules. We can now use Rule 1 to solve the problem above arithmetically: (-6) (+ 4) -24. And so we're going to multiply positive fourteen (14) times this negative one (-1), times -1. Rule 2: The product of two negative integers or two positive integers is a positive integer.

They are both negatives, and negatives cancel out, so this would give us, this part right over here, will give us positive fourteen (14). Sometimes it takes a while to fully understand the basics of arithmetic, but it's worth it. Negative two (-2) times negative seven (-7). If I negate a negative number (take the opposite of it), I will have a positive number. To get the sum of a negative and a positive number, use the sign of the larger number and subtract. It works the same way with multiplication and division. If a negative thing happens to a negative person, that's positive (good) like a robber being caught. If a positive thing happens to a negative person, that's negative (bad) like a robber being decreed innocent. You can think of it as you have $3 and I take 3 I.O.U's from you (you lose I.O.U's and since you have less debt you will have more money) so in a sense you've gained $3. Multiplying positive and negative numbers Pre-Algebra Khan Academy Fundraiser Khan Academy 7.99M subscribers 1.2M views 11 years ago Negative numbers and absolute value Pre-Algebra. If a negative thing happens to a positive person, like someone getting robbed that's negative (bad). Here's a good example to help explain it:īecause the negative undid the (-3). If I'm at -5 and I negate it (which could look like -(-5)) then I mirror back to 5. So if I'm at 5 on the number line and I negate it (make it the opposite sign) then my position is mirrored to -5, the opposite of 5. It is essential to keep these rules in mind when. The loss of $5 (translated to -5) is the opposite of the gain of $5 (translated to +5). However, when multiplying a positive number by a negative number or vice versa, the result is always negative. A way to remember the correct sign is: Positive x Positive Positive Negative x Negative Positive(because the minuses cancel each other out) Negative x Positive Negative Positive x Negative Negative The same rules can be applied with division. What this means is if I gain $5 and I lose $5 then I'm back at 0. Well, its just like multiplying and dividing normally, except for the sign. In fact -5 is the additive inverse of 5, which means if we add them together we get 0 (ie 5+(-5)=0).

What I'm saying is that -5 is really the opposite of 5. It's because a negative number is really the opposite of a positive number. You can put this solution on YOUR website!

Multiplying a negative and a positive