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Just remember these rules:
- Multiplying two negatives results in a positive
- Multiplying two positives results in a positive
- Multiplying a negative with a positive results in a negative
- Multiplying a positive with a negative results in a negative
1) If you are multiplying a positive and a negative number just multiply the numbers and put the negative sign beside the product. The negative sign gives the direction on the number line. For example, if we have, (-2)(3) = -6. It means three times two gives 6 in the negative direction of the number line. Otherwise you can say (-2) + (-2) + (-2) = -6 2) If you are multiplying a negative number with a negative number just multiply the numbers and put the positive sign (probably no sign). There may not be a rigorous proof. But, it could be shown as follows:
Before that remember this: For any number a,
1) a.0 = 0.a = 0
2) a + (-a) = (-a) + a = 0 -a is called as additive inverse or the opposite of a.
3) a(b + c) = a.b + b.c This is called as distributive property.
4) Adding a constant on both the sides of an equation will not affect the equation.
(-1)(0) = (-1)[1 – 1]
0 = (-1)(1) + (-1)(-1)
0 = -1 + (-1)(-1)
0 + 1 = -1 + 1 +(-1)(-1)
1 = (0) + (-1)(-1)1 = (-1)(-1)
Source: www.icoachmath.com
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What is an easy way to add intgers that are negative and positive?
-11+4=
If the discriminant is a perfect square then the answer is this?
If the discriminant is a perfect square, it makes calculation easy on paper. Otherwise, the only property of the discriminant that matters is whether it is positive, negative or zero.
Why does the inequality sign change when both sides are multilpied or divided by a negative number?
I bet you're thinking of > and <, the "greater than" and the "less than" signs, and not the "inequality" thing-- the = sign with a / through it. Am I right? Think about the positive integers 3 and 5. It should be easy to see that 3 is smaller than 5. Now here's a trick. If you think about the number line, even if you go back and forth over the zero point, "smaller" is always to the left, and "greater" is always to the right. __________________________________________________________ -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 <-------------- smaller larger ---------------> The weird thing is that when you're moving to the left and you cross zero, the numbers look like they're getting bigger-- except for the negative sign. You have to use your imagination with these negative integers. Say that you have 10 cd's. If I take two of them, I'm really adding "negative 2" to the total. This leaves you with 8 cd's. The "negative 2" made you total smaller, but not by much. I give back the two I took, and now I take 8 of them. I'm really adding "negative 8" to the 10 cd's. This leaves you with only two! So the "negative 8" had the effect of making your collection MUCH smaller than the "negative 2" did. So in a sense, the -8 is "smaller" than the -2. It fits with the number line, and the fact that numbers get smaller as you move to the left. Now back to 3 and 5. Look at the number line. +3 < +5. three is smaller than 5. If I multiply them both by -1, I now have -3 and -5. If you look at the number line, you will see that -5 is to the left of -3! This means that -3 > -5. So to put it simply... when you multiply or divide a number with a negative number, the number becomes a negative number, therefore causing it to be smaller than the original number. Therefore the sign changes accordingly.
Is negative 3 a rational number or irrational number?
'-3' is RATIONAL. IRRATIONAL numbers are those where the decimals go to inifinity AND there is no regular order in the decimal digits. e.g. pi = 3.141592..... is IRRATIONAL but 1/3 = 0.3333.... is RATIONAL. NB Both go to infinity, but '1/3' has the decimals in a regular order .
How do work out the area of a right angled triangle?
A right triangle is easy, simply multiply the two sides and divide by two
How do you multiplies and divides integers?
Multiplying and dividing integers is real easy. All you have to do is do regular dividing and multiplying keeping in mind these simple rules: RULES: 1: When multiplying or dividing integers, when the numbers are a positive, positive they equal a positive. When the numbers are negative, negative they equal a positive. In other words, same signs equal positive. 2: This rule is very similar to the rule above. The only change is that when the signs are different, they equal a negative. ( negative, positive= negative, positive, negative= negative.) Please correct me if I'm wrong. Multiply integers- my notes from class positive x positive= positive positive x negative= negative negative x negative= positive Divide integers- again my notes from class positive divided by a positive= positive negative divided by a negative= positive negative divided by a positive= negative Dividing integers are simple if the number has a different sign than the other it is always negative but if they have the same sign its always positive ex. -20/5=-4 ex. -20/-4=-5
When adding two integers how can you tell if a sum will be positive negative or zero without actually adding?
if your negative number is higher than your positive number your sum will be negative. if it is 0 i think that's pretty easy to find out yourself. ex: -5-3 = -8
What is a set of numbers that includes 1 but not zero?
The set of positive integers contains 1 but not zero. Within the set of integers, there is the subset of positive integers, the subset of negative integers and the subset with a single element in it - zero. There are a zillion other sets that could be specified that meet the conditions set down in the question. The one cited is an easy one.
What is 10 times negative 4?
this is very easy, whenever you multiply a negative number to 10 its always the same as that negative number being positive so if 10X4=40, 10X-4= -40
Why does a negative divided by a negative equals a positive?
(positive) * (positive) = (positive) -> friend of my friend is my friend (positive) * (negative) = (negative) -> friend of my enemy is my enemy (negative) * (positive) = (negative) -> enemy of my friend is my enemy (negative) * (negative) = (positive) -> enemy of my enemy is my friend it's as easy as that
Easy definition of composite numbers?
Positive integers with more than two factors.
What are the Positive and negatives of the silk road?
the positive is that it's easy to travel on and the negative is you can get hijacked
Explain how to add two integers with different signs?
It helps if you put the positive one first. Then, if you realize that adding a negative is the same as subtracting a positive, the rest is easy. 7 + (-3) = 7 - 3 = 4 3 + (-7) = 3 - 7 = -4
Why does a positive times a negative produces a negative?
Because when there is a positive and a negative in the same problem, it gives you a negative. An easy way to solve problems like that is if there is an odd number of negative signs, then your answer is going to be negative. If there is an even number of negative signs, then your answer is going to be positive. (no matter if there is a positive sign in a math problem).
What is an easy way to add intgers that are negative and positive?
-11+4=
How do you turn a negative y into a positive y in slope?
Oh, dude, it's like super easy. So, if you have a negative y in slope, all you gotta do is multiply it by -1. That negative sign is like a bad vibe at a party - you just gotta flip it to positive and keep the good times rolling. So, yeah, just slap a -1 on that negative y and you're golden.
What is the sum of all integers from 1 to 100?
It's easy to work it out yourself.... Multiply 100 by 49, add 50, add 100 - and you have your answer !
