Which of the following results in a sum or a product that is rational 4+9
The sum 4 + 9 results in a rational number.
To determine whether the sum or product of two numbers is rational, we should know the property of rational numbers. A rational number is any number that can be expressed as a quotient or fraction of two integers, where the denominator is not zero.
In this case, we have the sum of two numbers: 4 + 9. To check if their sum is rational, we add the numbers together:
4 + 9 = 13
Now, ask yourself if 13 can be expressed as a quotient or fraction of two integers. Since 13 cannot be written as a fraction with integers in the numerator and the denominator, the sum of 4 + 9 is not a rational number.
On the other hand, if we were to consider the product of 4 and 9, we would multiply the numbers together:
4 × 9 = 36
Again, try to express 36 as a quotient or fraction of two integers. Since 36 can be written as 36/1, where both the numerator (36) and the denominator (1) are integers, the product of 4 × 9 is a rational number.
Therefore, out of the given options, the product of 4 and 9 (4 × 9) is the one that results in a sum or product that is rational.
To determine if the sum or product of two numbers is rational, we need to check if both numbers are rational.
In this case, since both 4 and 9 are rational numbers, their sum (4+9 = 13) and product (4*9 = 36) are also rational numbers.