Scientific Notation Maze | Worksheet - Free Printable

To solve the "Scientific Notation Maze," we need to convert each number in the maze into scientific notation and then use these answers to trace a path from "Start" to "Finish." Let's go through the process step by step.

Step 1: Understand Scientific Notation

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10. For example:
- \( 500 = 5 \times 10^2 \)
- \( 0.003 = 3 \times 10^{-3} \)

Step 2: Convert Each Number to Scientific Notation

We will convert each number in the maze to scientific notation and identify the correct path.

#### Starting Point: \( 0.003 \)
- \( 0.003 = 3 \times 10^{-3} \)

#### Path Choices:
1. \( 5 \times 10^{-4} \): This is not \( 3 \times 10^{-3} \), so it's incorrect.
2. \( 95,000,000 \): Convert \( 95,000,000 \):
- \( 95,000,000 = 9.5 \times 10^7 \)

#### Next Node: \( 9.5 \times 10^7 \)
- From \( 9.5 \times 10^7 \), the next possible paths are:
1. \( 42,700,000 \): Convert \( 42,700,000 \):
- \( 42,700,000 = 4.27 \times 10^7 \)
2. \( 0.00008 \): Convert \( 0.00008 \):
- \( 0.00008 = 8 \times 10^{-5} \)

#### Next Node: \( 4.27 \times 10^7 \)
- From \( 4.27 \times 10^7 \), the next possible paths are:
1. \( 3,800,000 \): Convert \( 3,800,000 \):
- \( 3,800,000 = 3.8 \times 10^6 \)
2. \( 95,000,000 \): Already visited, so skip.

#### Next Node: \( 3.8 \times 10^6 \)
- From \( 3.8 \times 10^6 \), the next possible paths are:
1. \( 1,740,000 \): Convert \( 1,740,000 \):
- \( 1,740,000 = 1.74 \times 10^6 \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

#### Next Node: \( 1.74 \times 10^6 \)
- From \( 1.74 \times 10^6 \), the next possible paths are:
1. \( 0.00005 \): Convert \( 0.00005 \):
- \( 0.00005 = 5 \times 10^{-5} \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

#### Next Node: \( 5 \times 10^{-5} \)
- From \( 5 \times 10^{-5} \), the next possible paths are:
1. \( 0.000008 \): Convert \( 0.000008 \):
- \( 0.000008 = 8 \times 10^{-6} \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

#### Next Node: \( 8 \times 10^{-6} \)
- From \( 8 \times 10^{-6} \), the next possible paths are:
1. \( 0.00000095 \): Convert \( 0.00000095 \):
- \( 0.00000095 = 9.5 \times 10^{-7} \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

#### Next Node: \( 9.5 \times 10^{-7} \)
- From \( 9.5 \times 10^{-7} \), the next possible paths are:
1. \( 0.000000005 \): Convert \( 0.000000005 \):
- \( 0.000000005 = 5 \times 10^{-9} \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

#### Next Node: \( 5 \times 10^{-9} \)
- From \( 5 \times 10^{-9} \), the next possible paths are:
1. \( 0.0000000003 \): Convert \( 0.0000000003 \):
- \( 0.0000000003 = 3 \times 10^{-10} \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

#### Next Node: \( 3 \times 10^{-10} \)
- From \( 3 \times 10^{-10} \), the next possible paths are:
1. \( 0.000000000005 \): Convert \( 0.000000000005 \):
- \( 0.000000000005 = 5 \times 10^{-12} \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

#### Next Node: \( 5 \times 10^{-12} \)
- From \( 5 \times 10^{-12} \), the next possible paths are:
1. \( 0.00000000000003 \): Convert \( 0.00000000000003 \):
- \( 0.00000000000003 = 3 \times 10^{-14} \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

#### Final Node: \( 3 \times 10^{-14} \)
- From \( 3 \times 10^{-14} \), the next possible paths are:
1. \( 0.0000000000000005 \): Convert \( 0.0000000000000005 \):
- \( 0.0000000000000005 = 5 \times 10^{-16} \)
2. \( 9.5 \times 10^7 \): Already visited, so skip.

Final Path:

The correct path from "Start" to "Finish" is:
\[ 0.003 \rightarrow 9.5 \times 10^7 \rightarrow 4.27 \times 10^7 \rightarrow 3.8 \times 10^6 \rightarrow 1.74 \times 10^6 \rightarrow 5 \times 10^{-5} \rightarrow 8 \times 10^{-6} \rightarrow 9.5 \times 10^{-7} \rightarrow 5 \times 10^{-9} \rightarrow 3 \times 10^{-10} \rightarrow 5 \times 10^{-12} \rightarrow 3 \times 10^{-14} \rightarrow 5 \times 10^{-16} \]

Final Answer:

\[
\boxed{5 \times 10^{-16}}
\]