Questions: Round each number to two significant figures. 233.356: 0.002353 : 1.005:

Transcript text: Round each number to two significant figures. 233.356: 0.002353 : $1.005:$

Solution

Solution Steps

To round each number to two significant figures, we need to identify the first two significant digits and then round the number accordingly. This involves handling both whole numbers and decimals appropriately.

Step 1: Identify Significant Figures

To round each number to two significant figures, we first identify the first two significant digits of each number.

Step 2: Apply Rounding Rules

We then apply the rounding rules to round each number to two significant figures.

Step 3: Round Each Number

For $ 233.356 $:
- The first two significant digits are $ 2 $ and $ 3 $.
- Rounding $ 233.356 $ to two significant figures gives $ 230 $.
For $ 0.002353 $:
- The first two significant digits are $ 2 $ and $ 4 $ (since $ 3 $ rounds up to $ 4 $).
- Rounding $ 0.002353 $ to two significant figures gives $ 0.0024 $.
For $ 1.005 $:
- The first two significant digits are $ 1 $ and $ 0 $.
- Rounding $ 1.005 $ to two significant figures gives $ 1.0 $.

Final Answer

\[ \begin{aligned} &\text{233.356:} & \boxed{230} \\ &\text{0.002353:} & \boxed{0.0024} \\ &\text{1.005:} & \boxed{1.0} \\ \end{aligned} \]

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