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Is the sum of zero and positive number always sometimes or never zero?
Never.
Is zero always a divsor?
Zero is never a divisor. If you ever see a fraction or a problem where zero is adivisor, you can stop right there and toss the whole thing. In the language ofmath, "Division by zero is not permitted".
The sum of zero and a positive integer is always sometimes or never zero?
The sum of zero and any integer is never zero.And it's still 'integer', not 'interger'.
Division by an integer is always defined?
Division by an integer is always defined only when the divisor is not zero
Will the opposite of zero always or never be zero?
The opposite of zero - in the sense of additive inverse - is zero.
Is the sum of zero and positive number always sometimes or never zero?
Never.
Is zero always a divsor?
Zero is never a divisor. If you ever see a fraction or a problem where zero is adivisor, you can stop right there and toss the whole thing. In the language ofmath, "Division by zero is not permitted".
The sum of zero and a positive integer is always sometimes or never zero?
The sum of zero and any integer is never zero.And it's still 'integer', not 'interger'.
What is a quotient of two integers where the divisor is never zero?
It is a rational number.
The sum of zero and a negative integer is always sometimes or never zero?
The sum of zero and a negative integer can never be zero - it will always be negative and nonzero. Although zero is also an integer, it is neither negative nor positive and cannot be the other integer used.
Division by an integer is always defined?
Division by an integer is always defined only when the divisor is not zero
Will the opposite of 0 always sometimes or never be 0?
Sometimes. The opposite of zero depends on the type of function under consideration. For example, the additive opposite of zero is zero. The multiplicative opposite is not defined.
Is it always sometimes or never true that the product of a non zero rational number and an irrational number is irrational?
It is always true.
Will the opposite of zero always or never be zero?
The opposite of zero - in the sense of additive inverse - is zero.
Why is 0 not a factor of any whole number?
For zero to be a factor of a number, there would have to be another factor paired with it. Since zero times anything is zero, you will never be able to multiply zero with anything to get any number other than zero.
How many possible remainder are thereif the divisor is 4 and 7?
The possible number of remainders is always one less than the divisor.
Why can you divide 0 by 3 but not 3 by 0?
Division can be thought of as the opposite of multiplication: 0 ÷ 3 is the same as saying "what number when multiplied by 3 results in 0"; answer: 0. 3 ÷ 0 is the same as saying "what number when multiplied by 0 results in 3"; no number when multiplied by 0 results in 3 (as 0 times anything is 0), thus it can't be done. Alternatively, division tells you how many times you need to, or can, subtract the divisor from the dividend to get to zero. If you start with a dividend of zero and a non-zero divisor, you don't need to, nor can you, subtract the divisor to get to zero. If you start with a non-zero dividend, and a zero divisor, no matter how many times you subtract the divisor you will never get to zero - the dividend stays the same. With a zero dividend and a zero divisor, you have reached zero when you start, BUT you can subtract the divisor and the dividend will then become (stay) zero; thus zero divided by zero is any number you want - in calculus there are rules which specify the value to use in different circumstances.
