Exploring Integers and Rational Numbers

The integer between -3 and -1 on the number line is -2. It is greater than -3 and less than -1, making it the only correct choice among the options provided.

An integer is defined as a whole number that does not include decimals or fractions. Therefore, the correct choice is that it is a number on the number line that doesn't include decimals or fractions.

Victoria is 5.5 blocks west and Jorge is 4.5 blocks east of the park. The total distance between them is 5.5 + 4.5 = 10 blocks. Therefore, Tammy and Carlos live 10 blocks apart.

The question asks for the integer that represents 35 feet above sea level. The correct choice is 35, as it directly indicates the height above sea level without any negative sign or additional formatting.

A loss of 5 dollars is represented by -5, as negative values indicate a decrease or loss in amount. Therefore, -5 is the correct choice.

To find the integer 3 units to the left of 2, subtract 3 from 2: 2 - 3 = -1. Therefore, the correct answer is -1.

To compare \(\frac{7}{10}\) and \(\frac{3}{5}\), convert \(\frac{3}{5}\) to a denominator of 10: \(\frac{3}{5} = \frac{6}{10}\). Since \(\frac{7}{10} > \frac{6}{10}\), \(\frac{7}{10}\) is greater.

To order the integers from greatest to least, compare their values. 3 is the largest, followed by 0, then -2, and finally -5. Thus, the correct order is 3, 0, -2, -5.