Question

12,236 Learners found this answer helpful

problem solving

1. how much greater is the area of hernando county than union county?
2. make sense and persevere how much greater is the area of monroe county than the area of union county and hernando county combined? explain.
3. population density is measured in people per square mile. it indicates how crowded an area is. how many more people per square mile does brevard county have than neighboring volusia county?
4. higher order thinking what mistake did leon make? what is the correct difference?

6 18 13 leon
793
-576
117
assessment practice

1. what is the difference?

724
-459
a 1,183
b 335
c 266
d 265

1. what is the missing digit in the subtraction statement?

634
-2□7
337

Explanation:

Step1: Solve problem 23

We perform the subtraction $724 - 459$. Starting from the right - most digit, 4 is less than 9, so we borrow 1 from the tens place. The 2 in the tens place becomes 1, and the 4 in the units place becomes 14. Then $14-9 = 5$. In the tens place, $1 - 5$ is not possible, so we borrow 1 from the hundreds place. The 7 in the hundreds place becomes 6, and the 1 in the tens place becomes 11. Then $11 - 5=6$. In the hundreds place, $6 - 4 = 2$. So $724-459 = 265$.

Step2: Solve problem 24

We know that $634-2\square7 = 337$. We work backwards. In the units place, $4 - 7$ is not possible, so we assume borrowing occurred. Let the missing digit be $x$. In the subtraction $634-2x7$, we know that $14 - 7=7$. In the tens place, since borrowing occurred in the units place, we have $12 - x = 3$. Solving for $x$, we get $x = 9$. Because $12-9 = 3$.

Step3: Analyze Leon's work in problem 22

Leon calculated $793-576$ and got 117. When subtracting in the units place, $3 - 6$ is not possible, so we borrow 1 from the tens place. The 9 in the tens place becomes 8, and the 3 in the units place becomes 13. Then $13 - 6 = 7$. In the tens place, $8 - 7 = 1$. In the hundreds place, $7 - 5 = 2$. The correct answer is $793-576=217$. Leon's mistake was likely in the borrowing process, not properly adjusting the digits after borrowing.

Answer:

1. D. 265
2. 9
3. Leon's mistake was likely in the borrowing process. The correct difference is 217.