The average thickness of a chicken eggshell is 0.000356 m . Write an estimate for
the average thickness of a chicken eggshell as a single digit times an integer
power of 10 . Show your work.

Question

The average thickness of a chicken eggshell is 0.000356 m . Write an estimate for the average thickness of a chicken eggshell as a single digit times an integer power of 10 . Show your work.

UpStudy AI · Accepted Answer

To express the average thickness of a chicken eggshell in scientific notation (a single digit multiplied by an integer power of 10), follow these steps:

1. **Start with the given thickness:**
   
   $$
   0.000356 \, \text{m}
   $$

2. **Move the decimal point to create a number between 1 and 10:**
   
   $$
   3.56 \times 10^{-4} \, \text{m}
   $$
   
   Here, the decimal is moved 4 places to the right, which is why the exponent is $$-4$$.

3. **Round to a single significant digit:**
   
   $$
   4 \times 10^{-4} \, \text{m}
   $$
   
   The number 3.56 rounds up to 4 when considering only one significant digit.

**Final Estimate:**

$$
\boxed{4 \times 10^{-4} \text{ meters}}
$$
The average thickness of a chicken eggshell is approximately $$4 \times 10^{-4}$$ meters.

The average thickness of a chicken eggshell is 0.000356 m . Write an estimate for
the average thickness of a chicken eggshell as a single digit times an integer
power of 10 . Show your work.

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