(4,000,000)· (20,000)= 

To multiply 4,000,000 by 20,000, you can use the following steps:

1. Multiply the significant figures: \(4 \times 2 = 8\).
2. Count the total number of zeros in both numbers: 6 zeros in 4,000,000 and 4 zeros in 20,000, for a total of 10 zeros.
3. Combine the result of the multiplication with the zeros: \(8\) followed by \(10\) zeros.

Supplemental Knowledge

Multiplying large numbers can be simplified by using the properties of exponents and scientific notation. This approach helps in breaking down the problem into more manageable parts.

1. Scientific Notation:
   • Scientific notation expresses numbers as a product of a coefficient and a power of 10.
   • For example, \(4,000,000\) can be written as \(4 \times 10^ 6\) and \(20,000\) as \(2 \times 10^ 4\).
2. Multiplication Using Scientific Notation:
   • When multiplying numbers in scientific notation, multiply the coefficients and add the exponents.
   • Example: \(( 4 \times 10^ 6) \cdot ( 2 \times 10^ 4) = ( 4 \cdot 2) \times ( 10^ { 6+ 4} ) = 8 \times 10^ { 10} \).

Real-World Applications

Imagine working in finance or engineering where dealing with large numbers is part of daily work life, where multiplying large quantities efficiently is crucial to saving both time and preventing errors - for instance calculating total revenue from millions of units sold for thousands each requires accurate multiplication skills.

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