4 x 162 = 648. Sum of decimal places = 6.
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10^-4

To solve this problem, we can simply multiply the two numbers together using a calculator or longhand multiplication. However, it's important to understand the scientific notation or standard form of numbers and how to convert between them to select the correct answer.

Scientific notation or standard form is a way of representing numbers as a coefficient multiplied by a power of 10. For example, the number 325 in scientific notation would be 3.25 x 10^2. The coefficient is always greater than or equal to 1 and less than 10, and the exponent represents the number of places the decimal point must be moved to get the original number. Here are some relevant formulas and definitions:

• Scientific notation: a number expressed as a coefficient times 10 raised to a power
• Coefficient: the part of a number in scientific notation that is greater than or equal to 1 and less than 10
• Exponent: the part of a number in scientific notation that represents the power of 10
• Multiplication: when multiplying numbers in scientific notation, you multiply the coefficients and add the exponents

Now, let's solve the problem. We have:

0.04 x 0.0162

To convert these numbers to scientific notation, we move the decimal point to the right until we have a coefficient between 1 and 10. We get:

4 x 10^-2 x 1.62 x 10^-2

To multiply these two numbers, we simply multiply the coefficients and add the exponents:

4 x 1.62 x 10^-2+(-2) = 6.48 x 10^-4

Therefore, the correct answer is B, 6.48 x 10^-4.

If you think the solution is wrong then please provide your own solution below in the comments section .