Which sum will be irrational?
3+2
18/3+11/10,000
-6+(-3.251)
None of the above
None of the above.
All of these sums can be simplified to rational numbers. 3+2=5, 18/3+11/10,000=6+0.0011, -6+(-3.251)=-9.251.
None of the above sums will be irrational.
The sum of 3 + 2 is a rational number because both 3 and 2 are rational numbers and the sum of two rational numbers is still rational.
The sum of (18/3) + (11/10,000) can be simplified to 6 + (11/10,000), which is also a rational number. This is because 6 and 11 are rational numbers and dividing a rational number by another rational number (10,000) still yields a rational number.
The sum of -6 + (-3.251) is a rational number because both -6 and -3.251 are rational numbers and adding two rational numbers together results in another rational number.
Therefore, none of the provided sums will be irrational.
To determine which sum will be irrational, we need to understand the properties of irrational numbers. An irrational number is a number that cannot be expressed as a fraction of two integers and its decimal representation goes on forever without repeating.
Let's analyze each sum to see if it will result in an irrational number:
1. 3 + 2: This sum results in 5, which is a rational number because it can be expressed as the fraction 5/1.
2. 18/3 + 11/10,000: First, we simplify each fraction. 18/3 simplifies to 6, and 11/10,000 does not simplify further. Then we add the two fractions together: 6 + 11/10,000 = 60001/10,000. This sum is a rational number because it can be expressed as a fraction.
3. -6 + (-3.251): Adding these two integers, we get -9.251. Since we can express this number as the fraction -9251/1000, it is a rational number.
Therefore, none of the above sums are irrational.