Without changing the order of the numbers below, insert parentheses and/or addition signs so that the computation results in the number described below.
4 3 6 1
A. The number is a multiple of 5.
B. The number is a factor of 36.
4+3+6-1 = 12 | 36
i dont get it..? how is it a multiple of 5?
Please help me with this 12 is not a múltiple of 5 but it is a factor of 36 the answer has to match both conputations.
A. To compute a number that is a multiple of 5, we need to find a way to combine the given numbers using parentheses and/or addition signs such that the resulting expression yields a multiple of 5.
Looking at the given numbers, we can see that the sum of all four numbers (4 + 3 + 6 + 1 = 14) is not divisible by 5. Therefore, we need to use parentheses to change the order of operations and create different calculations.
One possible way to achieve a multiple of 5 is as follows:
4 + (3 + 6) + 1 = 14
In this expression, we grouped the numbers 3 and 6 inside parentheses, which dictated that they must be added first. The sum of 3 and 6 is 9. Adding 4 and 9 together equals 13, which is not a multiple of 5.
To try a different approach, we can rearrange the parentheses:
(4 + 3) + (6 + 1) = 14
In this expression, we grouped the numbers 4 and 3, as well as 6 and 1, separately inside parentheses. When we add the sums of each grouping (7 and 7), we get a total of 14, which is a multiple of 5.
Therefore, to get a computation that results in a multiple of 5, we need to place parentheses around the pairs of numbers as mentioned above: (4 + 3) + (6 + 1).
B. To compute a number that is a factor of 36, we need to find a way to combine the given numbers using parentheses and/or addition signs such that the resulting expression yields a factor of 36.
Looking at the given numbers, we can see that the sum of all four numbers (4 + 3 + 6 + 1 = 14) is not a factor of 36. Therefore, we need to use parentheses to change the order of operations and create different calculations.
One possible way to achieve a factor of 36 is as follows:
(4 + 3) * (6 + 1) = 49
In this expression, we grouped the numbers 4 and 3, as well as 6 and 1, separately inside parentheses. When we add the sums of each grouping (7 and 7), we get a total of 14. Then, we multiplied these sums, resulting in 49, which is not a factor of 36.
To try a different approach, we can rearrange the parentheses:
((4 + 3) * 6) + 1 = 43
In this expression, we grouped the numbers 4 and 3 inside parentheses, and multiplied them by 6. Then, we added 1 to the product. This yields a total of 43, which is not a factor of 36.
Therefore, we cannot find a computation that results in a number that is a factor of 36 by using the given numbers and the operations of addition and parentheses.