Answer:
The Correct answer is:
A. Divide 25 by 5 and then multiply the quotient by 2.
Explanation:
This method is a way to find the number of students who walk to school, because it follows the rule of fractions: to find a part of a whole, we multiply the fraction by the whole. In this case, the fraction is 2/5, which represents the part of the students who walk to school, and the whole is 25, which represents the total number of students in the class. To multiply 2/5 by 25, we can use the shortcut of dividing 25 by the denominator of the fraction (5) and then multiplying the quotient by the numerator of the fraction (2). This gives us:
(2/5) x 25 = (25 / 5) x 2 = 5 x 2 = 10
Therefore, there are 10 students who walk to school.
The other options are incorrect because they do not follow the rule of fractions or they use incorrect operations. For example, B. Multiply 25 by 5 and then multiply that product by 2 would give us:
(25 x 5) x 2 = 125 x 2 = 250
This is not a reasonable answer, as it is much larger than the total number of students in the class. C. Multiply 1/25 by 2/5 would give us:
(1/25) x (2/5) = (1 x 2) / (25 x 5) = 2 / 125
This is not a correct answer, as it is a fraction that represents a ratio, not a number of students. D. Multiply 25 and 5/2 would give us:
25 x (5/2) = (25 x 5) / 2 = 125 / 2 = 62.5
This is not a correct answer, as it is not an integer and it does not match the given fraction of students who walk to school.