they do if you want them to.
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At the basic level, the modulus of a number or expression is simply the value of the number or of the expression. For a positive number the modulus is the number, for 0 it is 0, and for a negative number, x, it is -x (which is positive).
if the modulus (just the value ignoring the signs) of the negative number is larger than the positive number, adding the two will get you a negative number, if the positive number is larger, than modulus of a negative number you will have a positive. Can be easily demonstrated on a number line. yes
The modulus of a number is the units digit of that number in the base of the modulus. For example, counting to 10, modulus 3, we get... 0 01 12 23 04 15 26 07 18 29 010 1 The calculate the modulus of a number, subtract the (integer of the number divided by the modulus) times the modulus. As an expression, this is... Xmod Y = X - integer (X / Y) * Y Note: This works also for negative numbers. -3 mod 5 is 2. Check it, if you want. The result will be correct so long as the integer trunction is towards zero, i.e. the integer of -1.3 is -1, not -2. Most compilers do this correctly. If you are using a compiler such as C, the modulus operator (%) will do this for you... int a;a = 7 % 3; /* 7 mod 3 is 1 *.
No. Whole numbers are counting numbers and zero.
Integers are all of the real numbers that can be written without using a decimal or a fraction; i.e, they're the set of all positive and negative whole numbers plus zero.Integers have the following properties:i) 0 exists, and is the additive identity element; 0 + a = a for all a.ii) 1 exists, and is the multiplicative identity element; 1a = a for all a.iii) Addition and multiplication are both associative and commutative.iv) An additive inverse exists for all elements a, denoted as -a.v) Distributivity.vi) Adding or multiplying two integers yields another integer.From iv), we know that for each a > 0, there exists an additive inverse, -a, which must be less than 0, hence a negative number.So, there are integers that are negative numbers.But, not every negative number is an integer. There are negative numbers that must be expressed as a decimal or a fraction. For example, -0.5 isn't an integer, because, were you to not write it as a decimal, you would have to write it as a fraction: -1/2