Chapter 5: Q44. (page 227)

Express the number $462.3$ in scientific notation.

Short Answer

Expert verified

The scientific notation of the given number is $4.623 \times 10^{2}$ .

Step by step solution

Step 1. Write down the given expression.

The given number is $462.3$ .

Step 2. Expressing the given number in scientific notation.

The number $462.3$ in scientific notation is expressed as:

$\begin{matrix} 462.3 = \frac{4623}{(10)} \\ = 4623 \times {(10)}^{- 1} \\ = \frac{4623 \times {(10)}^{- 1} \times {(10)}^{3}}{{(10)}^{3}} .... (\begin{array}{l} Multiplyand \\ divideby {(10)}^{3} \end{array}) \\ = \frac{4623}{{(10)}^{3}} \times \frac{{(10)}^{- 1} \times {(10)}^{3}}{1} \\ = 4.623 \times 10^{2} \end{matrix}$

Step 3. Conclusion.

The scientific notation of the given number is $4.623 \times 10^{2}$ .

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Express the number $462.3$ in scientific notation.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Expressing the given number in scientific notation.

Step 3. Conclusion.

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Express the number462.3 in scientific notation.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Expressing the given number in scientific notation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Pure Maths

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Express the number $462.3$ in scientific notation.