There are infinitely many groups. Some examples are given below.
Additive:
(1, 1, 1, 3)
(1.1, 1.1, 1.1, 2.7)
(-1, 1, 1, 4) etc
Multiplicative:
(1, 1, 1, 6)
(2, 2, 2, 0.75)
(3, 3, 3, 6/27) etc
You could, of course, have Irrational Numbers.
numbers are less than or equal to 10: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and all the negative numbers
To divide 32 students into groups with equal numbers of students, the group sizes must be divisors of 32. The divisors of 32 are 1, 2, 4, 8, 16, and 32. Therefore, the students can be grouped into 1 group of 32, 2 groups of 16, 4 groups of 8, 8 groups of 4, 16 groups of 2, or 32 groups of 1.
4 and 2/10 + 3 and 3/10
To find two numbers that multiply to equal 40 and add to equal -16, we can set up the equations ( x \cdot y = 40 ) and ( x + y = -16 ). The numbers that satisfy these conditions are -10 and -4, since (-10 \cdot -4 = 40) and (-10 + -4 = -16).
the two numbers are 14 and - 4.
-66
numbers are less than or equal to 10: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and all the negative numbers
3 + 4 + 5 - 2 = 10
To divide 32 students into groups with equal numbers of students, the group sizes must be divisors of 32. The divisors of 32 are 1, 2, 4, 8, 16, and 32. Therefore, the students can be grouped into 1 group of 32, 2 groups of 16, 4 groups of 8, 8 groups of 4, 16 groups of 2, or 32 groups of 1.
4 and 2/10 + 3 and 3/10
5,5, and 4
To find two numbers that multiply to equal 40 and add to equal -16, we can set up the equations ( x \cdot y = 40 ) and ( x + y = -16 ). The numbers that satisfy these conditions are -10 and -4, since (-10 \cdot -4 = 40) and (-10 + -4 = -16).
the two numbers are 14 and - 4.
2 and 10 or 4 and 5
Two numbers that add together to equal -14 could be -7 and -7, as their sum is -14. Alternatively, you could also use numbers like -10 and -4, since -10 + (-4) = -14. There are many pairs of numbers that can satisfy this condition.
Not counting negative numbers (which would give you an infinite number of ways of adding numbers together to equal 10), there are 6 different ways (permutations) of adding numbers together to equal 10. 0 + 10 1 + 9 2 + 8 3 + 7 4 + 6 5 + 5
Two numbers that equal -9 can be -4 and -5, since -4 + -5 = -9. Alternatively, another pair could be -10 and 1, as -10 + 1 also equals -9. There are many combinations of numbers that can result in -9, but these are two examples.