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Q: Is the difference between two integers always smaller than either on of the numbers in the difference?
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How many ways can a pair of integers be selected from the integers 1 to 99 so that the difference between them is 10?

If the order of the pairs of numbers doesn't matter (that is the pairs (1, 11) and (11, 1) are considered the same) then there are 89 such pairs.If the order does matter (that is the pairs (1, 11) and (11, 1) are considered different) then there are 178 such pairs.There must be one number larger than the other.The smaller number must be at least 1, so the larger number must be at least 11.The larger number must be at most 99, so the smaller number must be at most 89.Thus, looking at the smaller numbers, it can be one of the numbers 1 to 89 - a total of 89 possibilities - each of which has a corresponding larger number.Therefore there are 89 combinations of 2 integers from the number 1-99 that have a difference of 10.If however, the order of the integers is important, then the smaller number can be the first number or second number, which means that there are twice as many possible pairs, giving 178 permutations of 2 integers from the numbers 1-99 that have a difference of 10.


How do you order two numbers written in scientific notation?

If the signs at the front of the numbers are different then the one with the negative sign is smaller. So the question can be simplified to ordering two numbers that have the same sign. Suppose they are both positive numbers. If one of them has a smaller exponent (power of 10) than the other, then that number is smaller. That then leaves two positive numbers with the same exponent. So the only difference is in the mantissa (or the bit before the power of 10). Since the powers of 10 are the same in both cases, the smaller mantissa gives the smaller number. Going back to the case where both numbers are negative: their ordering is the same as for negative integers, for example. The bigger absolute value gives the smaller negative number.


The difference between two numbers is 36 the larger number is 4 times as great as the smaller what are the two numbers?

4x - x = 36 so x = 12 and the other number is 48.


The difference of two numbers is 75. The larger number is three less than four times the smaller number. Find the numbers.?

101 and 26


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.

Related questions

How do you find the difference between integers?

Subtract the smaller from the larger.


Is the sum of 2 integers always greater than the difference between them?

No. Consider 0 and 1. Or negative numbers, whose sum produces a smaller number.


The sum of two consecutive integers is 63. The smaller of the two numbers is?

The smaller of the two numbers is 31.


The difference between two integers is at least 14 The smaller integer is 2 What is the larger integer?

x > 16


What is the difference between the numbers 2 and 3?

1. The difference of two numbers are the numbers between them. The difference is found by subtracting the smaller number from the larger. In this case, 2 is subtracted from 3 (3-2) with a difference of 1. 3-2=1


the sum of the two numbers is 548.the difference between the two numbers is 124.find the smaller number?

212


How do you figure out the difference between 2 numbers?

subtract the smaller number from the larger number.


What is less than ½?

129,999 , all smaller integers, and all negative numbers are.


The difference between two numbers is 68 The smaller number is 153 what is the bigger number?

221


How do you find the difference between numbers?

The difference between two numbers is determined by subtracting the smaller number from the larger number. For example the difference between 12 and 9 is: 12-9=3. For negative integers, you will see that the difference is the total distance. For example, the difference between (-12) and 9 is 9-(-12) when you simplify by eliminating the double sign, the two minus signs become one plus sign: 9+12=21. More simply put, you will have to travel 12 to get from (-12) to zero, then another 9 to travel the total distance (difference) of 21.


What is the difference between the LCM and HCM of 42 nd 84?

Whenever one of the numbers is a multiple of the other, the larger number is the LCM and the smaller number is the GCF. In this case, the difference between them is 42. The highest common multiple of any set of integers is infinite.


How many ways can a pair of integers be selected from the integers 1 to 99 so that the difference between them is 10?

If the order of the pairs of numbers doesn't matter (that is the pairs (1, 11) and (11, 1) are considered the same) then there are 89 such pairs.If the order does matter (that is the pairs (1, 11) and (11, 1) are considered different) then there are 178 such pairs.There must be one number larger than the other.The smaller number must be at least 1, so the larger number must be at least 11.The larger number must be at most 99, so the smaller number must be at most 89.Thus, looking at the smaller numbers, it can be one of the numbers 1 to 89 - a total of 89 possibilities - each of which has a corresponding larger number.Therefore there are 89 combinations of 2 integers from the number 1-99 that have a difference of 10.If however, the order of the integers is important, then the smaller number can be the first number or second number, which means that there are twice as many possible pairs, giving 178 permutations of 2 integers from the numbers 1-99 that have a difference of 10.