To solve the maze, we need to evaluate each mathematical expression along the path and ensure that the values match the given numbers in the maze. Let's carefully evaluate each expression step by step.
Step-by-Step Solution:
####
Start (6 + 3²):
1. Calculate \( 3^2 \):
\[
3^2 = 9
\]
2. Add 6:
\[
6 + 9 = 15
\]
So, the value is
15.
####
Next Path (4 + 4 - 2²):
1. Calculate \( 2^2 \):
\[
2^2 = 4
\]
2. Perform the operations:
\[
4 + 4 - 4 = 4
\]
So, the value is
4.
####
Next Path (6² - (5 - 4)):
1. Simplify inside the parentheses:
\[
5 - 4 = 1
\]
2. Calculate \( 6^2 \):
\[
6^2 = 36
\]
3. Subtract:
\[
36 - 1 = 35
\]
So, the value is
35.
####
Next Path (4² + 3³):
1. Calculate \( 4^2 \):
\[
4^2 = 16
\]
2. Calculate \( 3^3 \):
\[
3^3 = 27
\]
3. Add the results:
\[
16 + 27 = 43
\]
So, the value is
43.
####
Next Path ((8 - 3)²):
1. Simplify inside the parentheses:
\[
8 - 3 = 5
\]
2. Calculate \( 5^2 \):
\[
5^2 = 25
\]
So, the value is
25.
####
Next Path (2 · 4³):
1. Calculate \( 4^3 \):
\[
4^3 = 64
\]
2. Multiply by 2:
\[
2 \cdot 64 = 128
\]
So, the value is
128.
####
Next Path (2 · 5² · 3):
1. Calculate \( 5^2 \):
\[
5^2 = 25
\]
2. Multiply by 2 and 3:
\[
2 \cdot 25 \cdot 3 = 150
\]
So, the value is
150.
####
Next Path (6 + (4 - 1)²):
1. Simplify inside the parentheses:
\[
4 - 1 = 3
\]
2. Calculate \( 3^2 \):
\[
3^2 = 9
\]
3. Add 6:
\[
6 + 9 = 15
\]
So, the value is
15.
####
Next Path (7² + 2):
1. Calculate \( 7^2 \):
\[
7^2 = 49
\]
2. Add 2:
\[
49 + 2 = 51
\]
So, the value is
51.
Final Answer:
The correct path through the maze, following the evaluated expressions, leads to the
End. The final answer is:
\[
\boxed{51}
\]
Parent Tip: Review the logic above to help your child master the concept of dad s worksheet order of operations.