Math Problem Statement

0.0003 × 0.01 ÷ 5000

Solution

The expression given in the image is:

0.0003×0.01÷50000.0003 \times 0.01 \div 5000

Let's break it down step by step:

  1. Multiplication first: 0.0003×0.01=0.0000030.0003 \times 0.01 = 0.000003

  2. Now, divide the result by 5000: 0.0000035000=0.0000000006=6×1010\frac{0.000003}{5000} = 0.0000000006 = 6 \times 10^{-10}

Thus, the final result is:

6×1010 or 0.00000000066 \times 10^{-10} \text{ or } 0.0000000006

Would you like further clarification or details on this?

Here are 5 related questions:

  1. What is the significance of using scientific notation in very small or large numbers?
  2. How do multiplication and division of decimals differ from whole numbers?
  3. Can you convert 6×10106 \times 10^{-10} into a fraction?
  4. How does dividing by a large number like 5000 affect a small decimal?
  5. Why is the order of operations (PEMDAS) important in this calculation?

Tip: Always handle multiplication and division of small decimals carefully to avoid losing precision, especially in scientific contexts.

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Math Problem Analysis

Mathematical Concepts

Multiplication and Division of Decimals
Scientific Notation

Formulas

a × b ÷ c

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8