Question

b. is the quotient less than or greater than the dividend? explain.
the machine made 12 toy cars each roll.

Explanation:

Step1: Recall division rules

When dividing a number (dividend) by a divisor greater than 1, the quotient is less than the dividend. When dividing by a divisor between 0 and 1, the quotient is greater than the dividend.

Step2: Analyze the context (from the diagram: 12 toy cars per roll, but the main rule is about divisor size)

Assume the division is of the form \( \text{dividend} \div \text{divisor} \). If the divisor (number of groups/rolls) is greater than 1, quotient \( < \) dividend. If divisor is between 0 and 1, quotient \( > \) dividend. But from the "12 toy cars each roll" (implies dividing 12 by a number, say number of rolls). If we divide 12 by a number greater than 1 (e.g., 2 rolls: \( 12\div2 = 6 \), 6 < 12). If dividing by a number less than 1 (e.g., 0.5 rolls: \( 12\div0.5=24 \), 24 > 12). But typically, in such problems, if dividing into more than 1 group (divisor >1), quotient is less. If the machine makes "more" (maybe divisor <1, but the key rule: when divisor >1, quotient < dividend; divisor <1, quotient > dividend.

Answer:

If the divisor (number of groups/rolls) is greater than 1, the quotient is less than the dividend. If the divisor is between 0 and 1, the quotient is greater. From the context (12 toy cars per roll, likely dividing into multiple rolls, so divisor >1), the quotient is less than the dividend. (General rule: \( a\div b \), if \( b > 1 \), \( \frac{a}{b} < a \); if \( 0 < b < 1 \), \( \frac{a}{b} > a \) for \( a > 0 \))