Question

choose the correct answer below.
a. the quotient is greater than 37. the dividend is greater than 1, so the quotient is greater than the dividend.
b. the quotient is greater than 37. the divisor is less than 1, so the quotient is greater than the dividend.
c. the quotient is less than 37. the dividend is less than 1, so the quotient is less than the divisor.
d. the quotient is less than 37. the divisor is less than 1, so the quotient is less than the dividend.

Explanation:

To determine the correct answer, we recall the rule of division with decimals: when a number (dividend) is divided by a number less than 1 (but greater than 0), the quotient is greater than the dividend. For example, if we have \( 37\div0.5 = 74\), which is greater than 37. Option A is incorrect because the key factor is the divisor (not the dividend) being less than 1. Option C and D are incorrect as dividing by a number less than 1 (but positive) should increase the quotient, not decrease it. Option B correctly states that the divisor is less than 1, so the quotient is greater than the dividend.

Answer:

B. The quotient is greater than 37. The divisor is less than 1, so the quotient is greater than the dividend.