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Is irrational numbers bigger than integers?
Of course not. The square root of 2 is less than 3, and (pi) is less than 4 .
Between what to consecutive integers does square root of 15 lies?
Try it out! Take the square of several (in this case small) integers, until you find one square that is less than 15, and one that is more.
Are all negative integers less than 1?
Yes. All negative integers are also less than 0.
Which has more elements the set of positive odd integers less than 50 or the set of positive even integers less than 50?
The set of positive odd integers.
What is the set of integers for integers greater than -3 but less than -9?
This is the 'null' or 'empty' set.There are no numbers greater than '-3' and less than '-9'.
What are positive integers whose squares are less than 30?
The positive integers whose squares are less than 30 are 1, 2, 3, 4, and 5. This is because the squares of these numbers are 1, 4, 9, 16, and 25, respectively, all of which are less than 30. The next integer, 6, has a square of 36, which exceeds 30.
What is the link between the product of any four consecutive positive integers and some square numbers?
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1
Is irrational numbers bigger than integers?
Of course not. The square root of 2 is less than 3, and (pi) is less than 4 .
What two consecutive integers between which the square root 27 lies?
Try squaring different integers (hint: in this case, the integers will be fairly small). If you find that the square of one integer is less than 27, and the square of the next integer is more than 27, you have your answer.
Between what to consecutive integers does square root of 15 lies?
Try it out! Take the square of several (in this case small) integers, until you find one square that is less than 15, and one that is more.
What are 4 integers whose product is less than zero and whose sum is -18?
22
How many even integers are there between under root 37 and under root 257?
Five even integers. Square root of 37 is a little more than 6 (but less than 7). Square root of 257 is a little more than 16 (less than 17). So the even integers are: 8, 10, 12, 14, 16. There are five of them.
How many positive integers less than 100 have the sum of their digits equal to a perfect square?
There are 20.
How many integers less than 60 have an even number of factors?
All but the square numbers - 53 of them.
What are 4 integers whose product is less than zero and whose sum is -12?
16
Perfect squares less than 101?
Integers which are the squares of integers are called perfect squares or square numbers. Perfect squares less than 101 are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.
How many Positive integers less than 1000 are multiples of 11 whose square roots are whole numbers?
To have a whole number square root, the number is a perfect square. Thus the numbers will be the squares of multiples of 11. Thus the first number will be (1×11) × (1×11) = 11² = 121 The next candidate will be (2×11) × (2×11) = 22² = 484 The next possible candidate will be (3×11) × (3×11) = 33² = 1089 which is too large. Thus there are two multiples of 11 less than 1000 whose square roots are whole numbers, namely 121 (11²) and 484 (22²)
