Evaluate the sums and determine which statement is true column a 0.7 + 1.8 column b 1 + 0.25 statements only column a has a rational sum only column b has an irrational sum see both called a and b have rational sums

1 answer

Let's evaluate the sums in both columns:

Column A: \[ 0.7 + 1.8 \]

Performing the addition:

\[ 0.7 + 1.8 = 2.5 \]

Column B: \[ 1 + 0.25 \]

Performing the addition:

\[ 1 + 0.25 = 1.25 \]

Now let's summarize the results:

  • Column A: The sum is \( 2.5 \), which is a rational number.
  • Column B: The sum is \( 1.25 \), which is also a rational number.

Now we can evaluate the statements:

  1. Only column A has a rational sum - This statement is false since column B also has a rational sum.
  2. Only column B has an irrational sum - This statement is false since both sums are rational.
  3. Both column A and B have rational sums - This statement is true.

Thus, the correct statement is: Both column A and B have rational sums.