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True or false the additive inverse of a number is the distance the number is from zero on a number line?
Wiki User
∙ 11y ago
True
Wiki User
∙ 11y ago
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Will the opposite of a positive number never be a positive number?
The answer depends on whether you mean additive opposite (TRUE) or multiplicative opposite (FALSE).
Is it possible to INCLUDE search criteria by using the Inverse checkbox?
False
You can use rational functions to study the relationships of inverse variation?
True
The equation y 8x is an example of inverse variation is this true?
No. This is not true. It is false. The equation is an example of direct variation.
True or false The' probability that it will rain today is 0.65 and probability that it will rain or snow is 0.55?
False; the "or" is an additive property so the probability of rain or snow muse be greater than or equal to 0.65.
True or false the opposite of a number is less than the number?
False. Apart from the fact that there is no such thing as an opposite. If, by opposite, you mean negative (additive inverse), then start with a negative number. The negative of this will be positive, and so greater. If by opposite you mean the reciprocal (multiplicative inverse), start with a positive number less than one or a negative number less than -1.
One is the additive identity true or false?
False.
Why does zero have no multiplicative inverse?
The multiplicative inverse is defined as: For every number a ≠ 0 there is a number, denoted by a⁻¹ such that a . a⁻¹ = a⁻¹ . a = 1 First we need to prove that any number times zero is zero: Theorem: For any number a the value of a . 0 = 0 Proof: Consider any number a, then: a . 0 + a . 0 = a . (0 + 0) {distributive law) = a . 0 {existence of additive identity} (a . 0 + a . 0) + (-a . 0) = (a . 0) + (-a . 0) = 0 {existence of additive inverse} a . 0 + (a . 0 + (-a . 0)) = 0 {Associative law for addition} a . 0 + 0 = 0 {existence of additive inverse} a . 0 = 0 {existence of additive identity} QED Thus any number times 0 is 0. Proof of no multiplicative inverse of 0: Suppose that a multiplicative inverse of 0, denoted by 0⁻¹, exists. Then 0 . 0⁻¹ = 0⁻¹ . 0 = 1 But we have just proved that any number times 0 is 0; thus: 0⁻¹ . 0 = 0 Contradiction as 0 ≠ 1 Therefore our original assumption that there exists a multiplicative inverse of 0 must be false. Thus there is no multiplicative inverse of 0. ---------------------------------------------------- That's the mathematical proof. Logically, the multiplicative inverse undoes multiplication - it is the value to multiply a result by to get back to the original number. eg 2 × 3 = 6, so the multiplicative inverse is to multiply by 1/3 so that 6 × 1/3 = 2. Now consider 2 × 0 = 0, and 3 × 0 = 0 There is more than one number which when multiplied by 0 gives the result of 0. How can the multiplicative inverse of multiplying by 0 get back to the original number when 0 is multiplied by it? In the example, it needs to be able to give both 2 and 3, and not only that, distinguish which 0 was formed from which, even though 0 is a single "number".
What is the inverse of 3x72 equals 21 and why?
There is no sensible inverse to sentence that is FALSE!
Will the opposite of a positive number never be a positive number?
The answer depends on whether you mean additive opposite (TRUE) or multiplicative opposite (FALSE).
Does every number has only one quality from its distance from zero?
False
Current is additive in a series circuit?
False
What is the Inverse Property of Subtraction?
Generally there are only two inverse properties. The inverse property of addition, also known as the additive inverse property, and the inverse property of multiplication, also known as the multiplicative inverse property. The additive inverse property for say the the integer -5 (integer is a fancy word for number) is the same number but with the opposite sign. So if you are asked to find the additive inverse for -5 it is asking you to find it's opposite. So the what is the opposite of -5? +5, also written as just plain old 5 without the + sign! If you are asked to find the additive inverse of 5 what would you write? -5 of course! If you are asked to state in words and numbers the definition of the additive inverse property you would say that "the additive inverse property states that -a+a=0=a+-a". Here is another example. Say you are asked "what number can be used to make the following equation true? -5+?=0". What is the inverse of -5? 5 of course. So -5+5=0! ****If you know how to add/subtract positive and negative integers**** The inverse properties deal with negatives and positive integers. If you don't know how to add or subtract and divide and multiply negative and positive integers you should really learn to help you to better understand inverse properties. If you have studied integers then you know there cannot really be a inverse property of subtraction because the rule for subtracting integers is "Keep, Change, Change". Technically there can be a inverse subtraction property because ( -5)-5=0=(-5)5=0 BUT 5-(-5)=0=5+5 is false because 5+5=10 not 0! When subtracting integers the Keep, Change, Change rule means that if you were given the problem 5-(-5) you would KEEP the first number and sign exactly the same but CHANGE the sign, the minus sign, to a plus sign and then CHANGE the second number (in this case -5) to it's opposite. This changing the second number, (-5), is inverting it to it's opposite (5). So there can technically be a inverse subtraction property but it would be one that isn't reliable in making an equation true because depending on how the numbers are arranged you could get a completely different answer then you would if the numbers were arranged a different way. ( -5)-5=0=(-5)5=0 BUT 5-(-5)=0=5+5 is false because 5+5=10 not 0! But with addition (-5)+5 is the same as 5+(-5) making the following equation true: (-5)+5=0=5+(-5). I know this is a lot of reading to do but it really is quite simple. I was never any good at math but if I can do it so can you! It may be helpful to learn about integers before you learn about properties. This is found in the pre-algebra section. I hope this does some good for you. Xoxo
Is The domain of a function is the domain of its inverse.?
False. (APEX :))
Is it possible to INCLUDE search criteria by using the Inverse checkbox?
False
The least dangerous aspect of multiple depressant use is the additive factor True or false?
False
is this statement true or falseThe inverse is the negation of the converse.?
false
