Logic: Statements and Negations
In logic, the negation of a statement is formed
by denying the original statement. When a statement
is true, its negation is false. When a statement
is false, its negation is true.
Statement Negation
A square is round. False A square is not round. True
Seven is an odd number. True Seven is not an odd number. False
All squares have 5 sides. False No squares have 5 sides. True
Tell whether each is a negation of the statement:
“A triangle has 4 sides.” Write Yesor No.
0 1. A triangle does not have 4 sides. 0 2. A square has 4 sides.
Tell whether the statement is true or false. Then write the
negation of the statement and tell whether it is true or false.
0 3. A whole number is an integer. 0 4. All decimals are rational numbers.
0 5. All squares have 4 sides. 0 6. Sixteen is a prime number.
0 7. No circles have 3 sides. 0 8. No prime numbers are even.
0 9. A fraction cannot be renamed 10. An odd number is not
- as a decimal. 09. divisible by 4.
- Fractions can be added if they 12. The product of a fraction and
- are like fractions. 09. zero is zero.
Write a statement and its negation for each description.
- A statement about adding fractions or mixed numbers
whose statement is true and negation is false. - A statement about subtracting fractions or mixed numbers
whose statement is false and negation is true.
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