Which numbers are rational? Check all that apply.

Question

–19
Negative two-fifths
0
StartFraction 4 Over 7 EndFraction
1.091502…
2.89

Answer 1

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Let's check each of the given numbers:

1. –19: This can be expressed as –19/1, which is a fraction of integers.
   Rational

2. Negative two-fifths: This is written as –2/5, which is a fraction of integers.
   Rational

3. 0: This can be expressed as 0/1, which is a fraction of integers.
   Rational

4. StartFraction 4 Over 7 EndFraction: This is written as 4/7, which is a fraction of integers.
   Rational

5. 1.091502…: This is a repeating decimal (if we assume the sequence continues) and can be expressed as a fraction. Thus, it is rational as it has a finite or repeating decimal representation.
   Rational

6. 2.89: This is a terminating decimal, which can be expressed as 289/100, a fraction of integers.
   Rational

Therefore, all of the options listed are rational numbers.

Answer 2

whats the answer

Answer 3

The following numbers are rational:

• –19
• Negative two-fifths
• 0
• \( \frac{4}{7} \)
• 1.091502…
• 2.89

All the numbers listed are rational.