To solve the problem, we need to follow the operations step by step for each path in the diagram. Let's break it down into two main paths: the left path and the right path.
Left Path:
We start with \(-8\) and follow the operations step by step.
1.
Start: \(-8\)
2.
\( \times (-2) \):
\[
-8 \times (-2) = 16
\]
3.
\( \times (+3) \):
\[
16 \times 3 = 48
\]
4.
\( \times (-3) \):
\[
48 \times (-3) = -144
\]
5.
\( \div (+2) \):
\[
-144 \div 2 = -72
\]
6.
\( \times (+5) \):
\[
-72 \times 5 = -360
\]
7.
\( \div (-9) \):
\[
-360 \div (-9) = 40
\]
So, the final value at the checkpoint on the left path is \(+40\).
Right Path:
We start with \(-150\) and follow the operations step by step.
1.
Start: \(-150\)
2.
\( \times (-5) \):
\[
-150 \times (-5) = 750
\]
3.
\( \div (-5) \):
\[
750 \div (-5) = -150
\]
4.
\( \div (-2) \):
\[
-150 \div (-2) = 75
\]
5.
\( \times (-4) \):
\[
75 \times (-4) = -300
\]
6.
\( \div (-3) \):
\[
-300 \div (-3) = 100
\]
So, the final value at the end of the right path is \(100\).
Summary:
- The value at the checkpoint on the left path is \(+40\).
- The value at the end of the right path is \(100\).
Thus, the final answers are:
\[
\boxed{40 \text{ and } 100}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing integers worksheet pdf.
