To remember what each sign means, look at it closely. Notice how one side is smaller (lines come to a point) and the other side is bigger (lines spread apart). The smaller side should point to the smaller number. The bigger side should be with the bigger number: You can also imagine the < looks a little like an L for "less than".
For example:
Two is less than four:
2 < 4
Four is greater than two:
4 > 2
For multiplication and division of negative numbers, just remember the rule of double negatives. If you have one negative, the statement is negative. But if you have *two* negatives it becomes positive.
This works for English too. If you tell me to NOT go to the movies, but I say I am NOT going to listen to you. That means I *am* going to the movies.
Similarly if you multiply -2 x -3, the answer is +6.
Or if you divide -10 / - 2, the answer is +5.
Just remember the double negatives rule. NOT 2 times NOT 3 = YES 6.
And if you have more numbers to multiply of divide, just count the number of negative signs. Every time you have 2 they cancel. So if you have an even number, the answer is positive. If you have an odd number, the answer is negative.
For example:
-2 x -2 x -2 x -2 = +16 (four negatives, make a positive)
-2 x -2 x -2 = -8 (three negatives, stay negative)
-2 x -2 x +6 = +24 (two negatives, make a positive)
etc.
For addition, the answer depends on the numbers. If the bigger number is positive, the answer is positive. If the bigger number is negative, the answer is negative.
You subtract and use the sign of the bigger number:
8 + (-6) = 2 (bigger number is positive)
8 + (-13) = -5 (bigger number is negative)
(-4) + 7 = 3 (bigger number is positive)
(-4) + 1 = -3 (bigger number is negative)
2006-11-07 03:47:24
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answer #1
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answered by Puzzling 7
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Less than < 2 < 5 -----2 is less than 5
Greater than > 9 > 3 -----9 is greater than 3
Multiplication or Division
If the signs of the two numbers are the same the answer is positive.
If the signs of the two numbers are different the answer is negative.
- x - = positive
- x + = negative
ADDITION:
If the signs are the same then you add the two numbers and keep the
sign.
Ex. 6 + 2 = 8 or -6 + -2 = -8
If the signs are different, subtract the two numbers and take the sign of the larger number.
Ex. -6 + 2 = -4 or 6 + -2 = 4
SUBTRACTION:
Change the sign of the second number, then add the two numbers using the
rules for addition, above.
Ex. 6 - 2 = 6 + (-2) = 4
Ex. -6 - -2 = -6 + (+2) = -4
Ex. -6 - 2 = -6 + (-2) = -8
Ex. 6 - -2 = 6 + (+2) = 8
2006-11-07 03:58:04
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answer #2
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answered by Charlie 3
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Okay, let's see if this helps:
< stands for less than
> stands for greater than
a negative multiplied by a negative equals a positive
a negative multiplied by a positive equals a negative
positive divided by negative equals a negative
negative divided by a positive equals a negative
when adding a negative and a positive, the value of the greater number determines whether the answer is positive or negative ........
example:
-2 + 1 = -1 (2 is greater than 1, so the answer is negative)
-3 + 5 = 2 (5 is greater than 3, so the answer is positive)
Hope this helps! :)
2006-11-07 03:54:03
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answer #3
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answered by MB 2
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Imagine the mouth wants to eat the bigger one, and If you read it from left to right X>Y is X is greater than Y.
Next if you have a negative times a positive it's always negative. Two negatives make a positive and it just flips around like that. Same with devision. So a +x-x+ would end up being negative because there's only 1 negative sign.
Hope this helps
2006-11-07 03:51:53
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answer #4
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answered by skweekey01 2
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The crocodile eats the bigger number so
x > y is x greater than y because the crocodile eats the bigger number
x < y is x less than y for the same reason.
For multiplication or division just add up the number of - signs. If you have an odd number then the answer is negative (-). If you have an even number then the answer is positive (+).
Addition and subtraction are different. You just evaluate the problem from left to right.
2006-11-07 03:46:35
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answer #5
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answered by SPB 6
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In terms of the symbols for greater than or less than, the trick I always used to remember since I was a kid was this : 5>2 - the 'hungry mouth' is always open to the bigger number!
a negative divided by a negative is always positive
a postive divided by a positive is always positive
a negative multiplied by a negative is always positive
a postive divided by a postive is always positive
a postive multiplied by a negative is always negative
and vice versa
a positive divided by a negative is always negative
and vice versa
in terms of adding negative and postives it depends on the value of the numbers, for example:
-5 + 10 = +5
5 + -10 = -5
When you subtract, always add the opposite - its a good method to ensure you get it right, for example:
-5 - 10 = -5 + -10 = -15
or
10 - (-5) = 10 + (+5) = +15
Hope this helps!
2006-11-07 03:53:16
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answer #6
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answered by Cindy 2
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4<5 this means that 4 is less than 5 or 5 is greater than 4.
2006-11-07 03:47:26
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answer #7
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answered by jonesin_am 1
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< is leaving the number so it is less than.or negative. > it going to the number so it is greater than.or positive.
2006-11-07 04:14:45
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answer #8
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answered by ruth4526 7
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< is less than, reading from left to right you would say 2 is less than 3 (2<3.)
> is greater than because reading from left to right 3 is greater than 2 (3>2) the way it angles down indicates lesser or greater. see how on the greater than symbol > the open part is larger on the left than it is on the right? and on the less than symbol < the angle is smaller on the left? so reading from left to right, if the larger part is on the left, the first number (on the left) is larger. if the smaller part is on the left, the first number (on the left) is also smaller. 3>2, and 2<3. hope this helps, i had alot of trouble with this too :)
2006-11-07 03:49:59
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answer #9
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answered by Canadian Princess 1
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< less than
> gretare than
-x- positive
-X+=negative
+/-=negative
-/+ negative
-+==can be either negative or positive depending upon whethethe first number hasa higher absolutevalue or the second
++- same as above can be negative or positive
2006-11-07 03:48:13
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answer #10
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answered by raj 7
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