Math Problem Statement

4.34 × 10–7

Solution

The number 4.34×1074.34 \times 10^{-7} is written in scientific notation. To express it as a decimal:

  1. Move the decimal point 7 places to the left (since the exponent is negative): 4.34×107=0.0000004344.34 \times 10^{-7} = 0.000000434

So, 4.34×1074.34 \times 10^{-7} is equivalent to 0.0000004340.000000434 in decimal form.

Would you like further details or have any questions?

Here are five related questions to expand on this concept:

  1. How would you write 7.89×1057.89 \times 10^5 in decimal form?
  2. What is 3.21×1033.21 \times 10^{-3} in decimal?
  3. How can you convert a large number like 2,500,000 into scientific notation?
  4. What is the significance of the exponent in scientific notation?
  5. How do you multiply two numbers in scientific notation?

Tip: When converting from scientific notation, a negative exponent means moving the decimal to the left, and a positive exponent means moving it to the right.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Decimal Conversion
Exponents

Formulas

a × 10^n = a shifted by n decimal places

Theorems

Exponent rules for positive and negative powers of 10

Suitable Grade Level

Grades 6-8