Question

which of the following are real numbers? -89, 70, $5\frac{4}{10}$, 0

Explanation:

Step1: Recall real number definition

Real numbers include all rational and irrational numbers. Rational numbers are integers, fractions, terminating/repeating decimals; irrational are non - repeating/non - terminating decimals.

Step2: Analyze - 89

• 89 is an integer. Integers are rational, so it's a real number.

Step3: Analyze 70

70 is an integer. Integers are rational, so it's a real number.

Step4: Analyze \(5\frac{4}{10}\)

\(5\frac{4}{10}\) is a mixed fraction (rational number, as it can be written as a fraction \(\frac{54}{10}\)), so it's a real number.

Step5: Analyze 0

0 is an integer. Integers are rational, so it's a real number.

Answer:

• 89, 70, \(5\frac{4}{10}\), and 0 are all real numbers. So the correct choices are - 89, 70, \(5\frac{4}{10}\), 0 (the ones with checkmarks are correct as per the real number definition).