Question

select all of the verbal expressions that represent \\(\frac{10}{3} + 4(9)\\)
\\(\square\\) a) the quotient of ten and three increased by the product of four and nine
\\(\square\\) b) the quotient of four and nine more than the product of ten and three
\\(\square\\) c) ten divided by three plus four times nine
\\(\square\\) d) the product of ten and three added to the quotient of four and nine
\\(\square\\) e) ten divided by three plus the product of four and nine

Explanation:

Step1: Match $\frac{10}{3}$ to verbal terms

$\frac{10}{3}$ = quotient of ten and three; ten divided by three

Step2: Match $4(9)$ to verbal terms

$4(9)$ = product of four and nine; four times nine

Step3: Match $+$ to verbal terms

$+$ = increased by; plus; added to

Step4: Verify each option

• A: Matches $\frac{10}{3} + 4(9)$ exactly
• B: Describes $\frac{4}{9} + 10(3)$, incorrect
• C: Matches $\frac{10}{3} + 4(9)$ exactly
• D: Describes $10(3) + \frac{4}{9}$, incorrect
• E: Matches $\frac{10}{3} + 4(9)$ exactly

Answer:

A) the quotient of ten and three increased by the product of four and nine
C) ten divided by three plus four times nine
E) ten divided by three plus the product of four and nine