Determine if each of the following are division problems or statements. If it is a division problem, write out the solution in the form $$ x r y $$ where $$ x $$ is the quotient and $$ y $$ is the remainder (write $$ x \cdot 0 $$ if the remainder is 0 ). If it is a statement, determine whether the statement is true or false and write true or false for your answer. a. $$ 16 / 3 $$ : division problem statement b. 9145 : division problem statement c. $$ 20 / 4 $$ : division problem statement d. 5140 : division problem statement

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a. **5 r 1** b. **false** c. **5 r 0** d. **false** Let's analyze each item to determine if it is a division problem or a statement, and then provide the appropriate response. a. $$ 16 / 3 $$ : This is a division problem. To solve it, we perform the division: - $$ 16 \div 3 = 5 $$ with a remainder of $$ 1 $$. So, the solution in the form $$ x r y $$ is: **5 r 1** b. 9145 : This is a statement. It does not involve division. Since it is just a number, we cannot determine its truth value in the context of division. Therefore, we can say: **false** c. $$ 20 / 4 $$ : This is a division problem. To solve it, we perform the division: - $$ 20 \div 4 = 5 $$ with a remainder of $$ 0 $$. So, the solution in the form $$ x r y $$ is: **5 r 0** d. 5140 : This is a statement. Similar to item b, it is just a number and does not involve division. Therefore, we can say: **false** In summary: a. **5 r 1** b. **false** c. **5 r 0** d. **false**

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