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Answered 2009-02-13 03:29:31
Converse:If a number is divisible by 3, then every number of a digit is divisible by three. Inverse: If every digit of a number is not divisible by 3 then the number is not divisible by 3? Contrapositive:If a number is not divisible by 3, then every number of a digit is not divisible by three.
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What is the converse of the contrapositive of a statement?
Look at the statement If 9 is an odd number, then 9 is divisible by 2. The first part is true and second part is false so logically the statement is false. The contrapositive is: If 9 is not divisible by 2, then 9 is not an odd number. The first part is true, the second part is false so the statement is true. Now the converse of the contrapositive If 9 is not an odd number, then 9 is not divisible by two. The first part is false and the second part is true so it is false. The original statement is if p then q,the contrapositive is if not q then not p and the converse of that is if not p then not q
What is the converse of the sentence A number divisible by 9 is also divisible by 3?
If a number is not divisible by 3 then it is not divisible by 9.
What is the inverse statement of an even number is divisible by two?
If a number is not divisible by two then it is not an even number.
What is the inverse of the statement if a number is divisible by 2 then it is even?
If a number is not even, then it is not divisible by 2.
Examples of conditional statement or converse?
A simple example of a conditional statement is: If a function is differentiable, then it is continuous. An example of a converse is: Original Statement: If a number is even, then it is divisible by 2. Converse Statement: If a number is divisible by 2, then it is even. Keep in mind though, that the converse of a statement is not always true! For example: Original Statement: A triangle is a polygon. Converse Statement: A polygon is a triangle. (Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)
A number is divisible by 6 if and only if it is divisible by 3?
If this is a T-F question, the answer is false. It is true that if a number is divisible by 6, it also divisible by 3. This is true because 6 is divisible by 3. However, the converse -- If a number is divisible by 3, it is divisible by 6, is false. A counterexample is 15. 15 is divisible by 3, but not by 6. It becomes clearer if you split the question into its two parts. A number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. A number is divisible by 6 only if it is divisible by 3? True.
Is this biconditional statement true A number is divisible by 6 if and only if it is divisible by 3?
How can the following definition be written correctly as a biconditional statement? An odd integer is an integer that is not divisible by two. (A+ answer) An integer is odd if and only if it is not divisible by two
What is an inverse number?
An inverse number is an opposing number of the standard number. For example, if a standard number is 12 then the inverse is -12.
What does the word contrapositive mean in math?
"contrapositive" refers to negating the terms of a statement and reversing the direction of inference. It is used in proofs. An example makes it easier to understand: "if A is an integer, then it is a rational number". The contrapositive would be "if A is not a rational number, then it cannot be an integer". The general form, then, given "if A, then B", is "if not B, then not A". Proving the contrapositive generally proves the original statement as well.
What is the phone number of the Converse Branch in Converse?
The phone number of the Converse Branch is: 318-567-3121.
Was the year 1998 a leap year?
No. If the number of the year is not divisible by 4 (and 1998 is not) it cannot be a leap year. Incidentally, the converse is not strictly true - a year that is divisible by four is nearly but not always a leap year.
What is the contrapositive of the contrapositive?
Given two propositions, p and q, start out with p implies q. For example if a number is even it is a multiple of 2. So we are saying even implies multiple of 2. Now the contrapositive is not p implies not q so if a number is not even it is not a multiple of 2. Or if not p then not q. The contrapositive of the contrapositive would negate a negation so that would make it positive. If not (not p) then not(not q) or in other words, you are back where you started, p implies q.
What is the additive inverse of eighteen?
The additive inverse of 18 is -18. The additive inverse of any number is the opposite of that number, such that the sum of the original number and the additive inverse is zero.
Additive inverse of a number?
The additive inverse of a number is that which when added to the number gives 0. If n is a number then the additive inverse of it (-n) is that number such that: n + -n = 0 For example, the additive inverse of '4' is '-4'.
When a number is added to its additive inverse what is the sum equal to?
Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0) Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0)
What is the phone number of the Converse Public Library in Converse?
The phone number of the Converse Public Library is: 210-659-4160.
What is inverse?
Divide 1 by the number you want its inverse you get the answer 1/number
What is the inverse of a whole number?
0 has no inverse. Otherwise it is the reciprocal of the number.
What is the difference between additive and multiplicative inverse?
The additive inverse is the inverse under addition; the multiplicative inverse is the inverse under multiplication. For example, the additive inverse of any real or complex number is its negative: the inverse of 3 is -3 and vice versa. The multiplicative inverse of a number other than 0 (which has no such inverse) is its reciprocal: the inverse of 2 is 1/2, and vice versa. Adding a number and its additive inverse gives the additive identity, 0. Multiplying a number by its multiplicative inverse gives the multiplicative identity, 1.
What is the multiplication inverse of any number?
The multiplicative inverse of a number is : 1/number i.e., one divided by the number. This doesn't apply to zero. Zero has no multiplicative inverse.
What is the inverse of the number 9?
The inverse of any number is one divided by that number Answer: 1/9
What is multiplictive inverse?
The multiplicative inverse of a number is that number which when multiplied by the original number gives 1.
What is the inverse for numbers under addition?
A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.
What is the inverse of 43?
inverse of a number is 1 divided by the number = 1 / 43 = 0.0232 Actually thats the reciprocal of the number, an inverse operation reverses another operation, so -43 is the inverse of +43
What is the additive inverse of 35?
-35 The additive inverse of a number is the number that will equal 0 when added to the original number so the additive inverse of 3 is -3 the additive inverse of 782 is -782 etc.
