Logically, it should be, right ? Somehow, just don't feel very right about that. Maybe "-" and "even" don't seem to click. What do you say ?
2006-08-06 08:26:49 · 17 answers · asked by tjoyce71 1 in Science & Mathematics ➔ Mathematics
Yes. If it's divisible by two (without leaving a remainder or fraction), it's an even number, no matter whether it's positive or negative.
2006-08-06 08:30:12 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Yes. A number is even if it can be divided by 2. So, if you have an integer (positive or negative) and you can divide it by 2 with a remainder of 0, then your original integer is even. Since -6/2 = -3, then -6 is even.
2006-08-06 15:30:22 · answer #2 · answered by IPuttLikeSergio 4 · 0⤊ 0⤋
Z represents the set of Integers.
Z= {0,1,-1,2,-2,...}
In modulo arithmetic, when you divide the
"Set of Integers"
by 2 you create 2 partitions.
1 parition has remainder 0
1 partition has remainder 1
This is called modulo arithmetic where you are only concerned with the remainder after the division occurs.
-6/2= 3 with a remainder of 0
-6 is an Integer that falls into the "partition" with a remainder of 0.
2006-08-06 15:42:37 · answer #3 · answered by tjhauck2001 2 · 0⤊ 0⤋
an even number is defined as a number that can be expressed as 2n, where n is an integer (positive or negative). So tha would mean that -6 is even, because -6 = 2(-3)
2006-08-06 17:00:38 · answer #4 · answered by hackmaster_sk 3 · 0⤊ 0⤋
even numbers are those numbers that can be divided by two without leaving a remainder. -6 on dividing by 2 gives the quotient -3 without leaving a remainder. So it is an even number.
2006-08-06 16:40:04 · answer #5 · answered by teenwitch 2 · 0⤊ 0⤋
itz a number which can be divided by 2 and 2 is an even no
-6 is an even number.
2006-08-06 16:02:56 · answer #6 · answered by Deejay 3 · 0⤊ 0⤋
yes. even number means that if the remainder of the number is 0 when divinding by 2 then the number is even.
For instance 0 is even.
anything else yiou want to know ?
2006-08-06 15:41:51 · answer #7 · answered by gjmb1960 7 · 0⤊ 0⤋
Yes, as long a number (and is a integer) is divisible by 2 and the remainder is zero. It is EVEN.
2006-08-06 15:51:38 · answer #8 · answered by goboilers21 2 · 0⤊ 0⤋
yes - it's even.
the negative symbol just shows where the number rests in relation to 0. it is below 0, so it is negative.
2006-08-06 15:34:06 · answer #9 · answered by pureromancebypatricia 2 · 0⤊ 0⤋
How would u define an even no..............
Let see..........
It is any no which when divided by 2 leaves a remainder=0.
so whether its +ve or -ve does'nt matter........................
I think u understood.................
If u did'nt then let take it this way.................
to find if ano is odd or even let keep it in mode{ |x| } and then divide it by 2.................
eg---------- |2|/2=1
& |-2|=1 { |x | }mode - absolute value} Here x can be any real no.......
Now, what do u say about it ???/
2006-08-06 15:38:18 · answer #10 · answered by anuragarora_forever 1 · 0⤊ 0⤋