Which of the following is a rational number a 7.8 b squared 7 C and Squid line over in or d square 8 / 8

1 answer

To identify which options are rational numbers, we need to recall that a rational number can be expressed as the quotient of two integers (i.e., in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \)).

Let's analyze each option:

a) 7.8: This number can be expressed as \( \frac{78}{10} \), which is a ratio of integers. Therefore, 7.8 is a rational number.

b) Squared 7: If this refers to \( 7^2 \) (which equals 49), then it can also be expressed as \( \frac{49}{1} \), making it a rational number.

c) Squid line over in: It seems there might be a typo or misunderstanding in this option. If it's referring to something like \( \sqrt{7} \), that would be irrational.

d) Square 8 / 8: Assuming "square" refers to \( 8^2 \), then this equals \( \frac{64}{8} \), which simplifies to 8. Since 8 can also be expressed as \( \frac{8}{1} \), it is a rational number.

From the options analyzed, both option a) 7.8 and option d) Square 8 / 8 fit the criteria of rational numbers. Additionally, option b) Squared 7 (if \( 7^2 \) is considered) is also rational.

Please clarify option c or let me know if further assistance is required!