ch of the following are rational numbers? 70.666... 87 88 -84

To determine which of the given numbers are rational, we need to understand the definition of a rational number. A rational number is any number that can be expressed as the quotient or fraction \(\frac{p}{q}\) of two integers, where \(p\) and \(q\) are integers and \(q \neq 0\).<br /><br />Let's analyze each number:<br /><br />1. **70.666...**<br /> - This number appears to be a repeating decimal. Repeating decimals can be expressed as fractions. For example, \(70.666...\) can be written as \(70 + \frac{2}{3} = \frac{212}{3}\). Since it can be expressed as a fraction, it is a rational number.<br /><br />2. **87**<br /> - This is an integer. Any integer can be expressed as a fraction by placing it over 1 (e.g., \(87 = \frac{87}{1}\)). Therefore, 87 is a rational number.<br /><br />3. **88**<br /> - Similar to 87, this is also an integer. It can be expressed as a fraction (e.g., \(88 = \frac{88}{1}\)). Therefore, 88 is a rational number.<br /><br />4. **-84**<br /> - This is a negative integer. Integers are rational numbers because they can be expressed as fractions (e.g., \(-84 = \frac{-84}{1}\)). Therefore, -84 is a rational number.<br /><br />Based on this analysis, all the given numbers are rational numbers. So, the answer is:<br /><br />- 70.666...<br />- 87<br />- 88<br />- -84