Question

1. write the division problem as a multiplication equation with a missing factor. then find the quotient. 38.22 ÷ 0.78

Explanation:

Step1: Recall division-multiplication relation

For a division problem \( a \div b = q \), it can be written as a multiplication equation \( b \times q = a \), where \( q \) is the quotient (missing factor here). So for \( 38.22 \div 0.78 \), the multiplication equation is \( 0.78 \times q = 38.22 \).

Step2: Solve for the quotient \( q \)

To find \( q \), we calculate \( q=\frac{38.22}{0.78} \). Multiply numerator and denominator by 100 to eliminate decimals: \( \frac{38.22\times100}{0.78\times100}=\frac{3822}{78} \). Divide 3822 by 78: \( 3822\div78 = 49 \).

Answer:

The multiplication equation is \( 0.78 \times q = 38.22 \) (where \( q \) is the quotient), and the quotient is \( 49 \).