Question

What is 3 x 10^4 multiplied by 5 x 10^2?

Answer 1

Taking into account the definition of Scientific notation, 3×10⁴ multiplied by 5×10² is 1.5×10⁷.

Scientific notation

Scientific notation is a quick way to represent a number using powers of base 10. The numbers are written as a product:

a×10ⁿ

where:

• a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
• n is a whole number, which is called an exponent or an order of magnitude. Represents the number of times the point decimal is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.

Multiplication in scientific notation

To multiply numbers in scientific notation, you first multiply the numbers that are not powers of 10 (previously called the "a" number) and then add the exponents.

In this case:

3×10⁴×5×10²= (3×5)×10⁴⁺²= 15×10⁶= 1.5×10⁷

Finally, 3×10⁴ multiplied by 5×10² is 1.5×10⁷.

Learn more about multiplication in scientific notation:

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