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True or False The set of whole numbers is closed under subtraction Why?
False. The set of whole numbers is not closed under subtraction. Closure under subtraction means that when you subtract two whole numbers, the result is also a whole number. However, this is not always the case with whole numbers. For example, subtracting 5 from 3 results in -2, which is not a whole number.
Twice the smallest of three consecutive odd integers is seven more than the largest find the integers?
Let's represent the three consecutive odd integers as ( 2n-1 ), ( 2n+1 ), and ( 2n+3 ), where ( n ) is an integer. According to the given information, twice the smallest integer ( 2(2n-1) ) is equal to seven more than the largest integer ( 2n+3 ). Setting up the equation, we have ( 4n-2 = 2n+3+7 ). Solving this equation gives us ( n = 6 ). Therefore, the three consecutive odd integers are 11, 13, and 15.
A negative times or divided by a positive equals a?
A Negative times or divided by a Positive equals a Negative A Negative times or divided by a Negative gives a Positive A Positive times or divided by a Negative gives a Negative A Positive times or Divided by a Positive gives a Positive Zero is neither Positive or Negative so anything times Zero is not Positive or Negative.
Subtract -10 from -15?
Alright, buckle up buttercup. When you subtract a negative, it's like adding a positive. So, -15 minus -10 is the same as -15 plus 10, which equals -5. There you have it, simple math for your beautiful brain.
What is the smallest set of numbers closed under subtraction?
Any one of the sets of the form: {kz : where k is any fixed integer and z belongs to the set of all integers} Thus, k = 1 gives the set of all integers, k = 2 is the set of all even integers, k = 3 is the set of all multiples of 3, and so on. You might think that as k gets larger the sets become smaller because the gaps between numbers in the set increases. However, it is easy to prove that the cardinality of each of these infinite sets is the same.
When you add a negative integer with a negative integer do you get a positive integer?
Negative. Sorry. No you do not. Adding a negative to a negative gives you a number that is even more negative. Picture a number line. A negative number is to the left of zero, and adding a negative number moves further left. ■
Why is the sum of a fraction and a whole number not a whole number?
Look at it the other way - by reverting the operation. The reason it is not a whole number is because if it where, then the subtraction of two integers would be a fraction! If a + b = c (a is a non-integer fraction, b and c are integers), then c - b = a. You would have a fraction as a result of subtracting two integers. However, adding or subtracting two integers always gives you an integer.
A pair of integers whose sum gives an integer smaller than the both integers?
Take any negative integers, say -5 and -10, their sum is -15 which is smaller than both of them. We could have used 0 as well, so I should have said any non-positive integers. To see that is does not work with positive integers, take 5 and 10 whose sum is 15 which is BIGGER than either one.
What two consecutive even integer such that the smaller number is 5 times the larger number gives a sum of 34?
There can be no such integers: a smaller integer cannot be 5 times the larger number.
How can you find the distance between two integers using the difference?
To find the distance between two integers using the difference, you simply subtract the smaller integer from the larger integer. The result will be the distance between the two integers on the number line. For example, if you have integers 7 and 3, you would subtract 3 from 7 to get a distance of 4. This method works because the difference between two integers gives you the number of units separating them on the number line.
When multiplying two integer what are the four possible combination of sign how can they be grouped into two integers?
The four possible combinations are:A = (+, +)B = (+, -)C = (-, +) andD = (-, -)In A and D, the two numbers have the same signs and the multiplication gives a positive answer.In B and C, the two numbers have different signs and the multiplication gives a negative answer.
What is the sum of the sequence 33 34 35 36 ... 112?
Adding all integers from 33 to 112 inclusive gives you 5800.
True or False The set of whole numbers is closed under subtraction Why?
False. The set of whole numbers is not closed under subtraction. Closure under subtraction means that when you subtract two whole numbers, the result is also a whole number. However, this is not always the case with whole numbers. For example, subtracting 5 from 3 results in -2, which is not a whole number.
Find two consecutive even integers such that the smaller number added to four times the larger gives a sum of 48?
Let x = 1st integer, since consecutive even integer differs by 2 then the 2nd integer = x + 2. So we have, x + 4(x + 2) = 48 x + 4x + 8 = 48 5x = 40 x = 8 (1st integer) Thus, the integers are 8 and 10. Check.
The sum of 4 consecutive integers is 182 What is the first integer?
Oh, isn't that a happy little math problem! To find the first integer, you can use a simple formula. Since the sum of 4 consecutive integers is 182, you can divide 182 by 4 to find the average value of the integers. Then, you can work backwards to find the first integer. Just remember, there are no mistakes in math, only happy little accidents!
Is the square root of five an integer?
The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5.
What is -8(-5) as an integer?
Just multiply the two numbers. Remember that multiplying two negative numbers gives a positive result.
