Math Problem Statement

(4.94 x 10^-3) (9 x 10^-6)

Solution

To solve (4.94×103)×(9×106)(4.94 \times 10^{-3}) \times (9 \times 10^{-6}), you can multiply the coefficients and add the exponents of the powers of 10.

Here's the step-by-step process:

  1. Multiply the coefficients:
    4.94×9=44.464.94 \times 9 = 44.46

  2. Add the exponents of 10:
    3+(6)=9-3 + (-6) = -9

  3. Combine the results:
    44.46×10944.46 \times 10^{-9}

To express the result in scientific notation, adjust 44.4644.46 to 4.446×104.446 \times 10:

44.46×109=4.446×10×109=4.446×10844.46 \times 10^{-9} = 4.446 \times 10 \times 10^{-9} = 4.446 \times 10^{-8}

So, the final answer is:

(4.94×103)×(9×106)=4.446×108(4.94 \times 10^{-3}) \times (9 \times 10^{-6}) = 4.446 \times 10^{-8}

Would you like further details or have any questions?

Here are some related questions:

  1. How do you multiply numbers in scientific notation?
  2. How do you divide numbers in scientific notation?
  3. What is the importance of expressing results in scientific notation?
  4. How do you convert a standard number to scientific notation?
  5. What are some real-world applications of scientific notation?

Tip: When multiplying numbers in scientific notation, always adjust the final coefficient to be between 1 and 10 for proper scientific notation form.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Scientific Notation
Exponent Rules
Multiplication of Powers of 10

Formulas

a x 10^n * b x 10^m = (a * b) x 10^(n+m)

Theorems

Exponent Addition Rule: When multiplying powers of the same base, add the exponents.

Suitable Grade Level

Grades 8-10