Problem 113
Question
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Some whole numbers are not integers.
Step-by-Step Solution
Verified Answer
The statement is false. The correct statement would be 'All whole numbers are integers'.
1Step 1: Understanding the terms
First, comprehend the definitions of whole numbers and integers. Whole numbers are all natural numbers including zero i.e., 0, 1, 2, 3, ... etc, while integers include all whole numbers and their negatives i.e., -3, -2, -1, 0, 1, 2, 3 ... etc.
2Step 2: Analyzing the statement
Next, analyze the statement 'Some whole numbers are not integers'. Since all whole numbers are included in the set of integers, it is not possible to find a whole number that is not an integer.
3Step 3: Rectifying the false statement
Finally, since the statement is false, it needs to be corrected. An accurate modification would be 'All whole numbers are integers'.
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