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What is a term for cubed numbers?
Perfect cubes.
How many perfect cubes in the first 1000 natural numbers?
The perfect cubes among the first 1000 natural numbers are the cubes of the integers from 1 to 10, since (10^3 = 1000). These integers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Therefore, there are 10 perfect cubes in the first 1000 natural numbers.
Are perfect squares and cubes rational numbers?
Yes. In fact, they are integers.
What natural numbers less than 750 are both perfect squares and perfect cubes?
Natural numbers that are both perfect squares and perfect cubes are perfect sixth powers, since the least common multiple of 2 and 3 is 6. The perfect sixth powers less than 750 are (1^6 = 1), (2^6 = 64), and (3^6 = 729). Therefore, the natural numbers less than 750 that are both perfect squares and perfect cubes are 1, 64, and 729.
What are the perfect cubes between 1000 and 3000 that are odd numbers?
1331 and 2197
What are some perfect cubes from 100 to 200?
Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.
What are three numbers less than 1000 that are perfect squares and perfect cubes solution?
Answer: 1, 64, & 729
How many natural numbers up to 5000 are perfect cubes?
The cube root of 5000 is approx 17.1 So the numbers 1 to 17 have cubes which are smaller than 5000 that is, there are 17 such numbers.
How many positive three-digit perfect cubes are even?
There are a total of 5 positive three-digit perfect cubes that are even. To find this, we first determine the range of three-digit perfect cubes, which is from 46 to 96. Then, we identify the even perfect cubes within this range, which are 64, 216, 512, 729, and 1000.
What is the arithmetic mean of the sum of the first five prime numbers and the sum of the cubes of the first three prime numbers?
The sum of the first five prime numbers is 28. The sum of the cubes of the first three prime numbers is 160. The average of 28 and 160 is 94.
What natural numbers less than 100 are both perfect squares and perfect cubes?
64 is the square of 8 and the cube of 4.
Which numbers less than 150 are perfect cubes?
1, 8, 27, 64, and 125
