Final answer:
Multiplying by a one-digit number typically involves multiplying base numbers directly and adding exponents when working with exponential forms. Moving the decimal point to match the power of 10's exponent is a shortcut when multiplying by powers of ten.
Step-by-step explanation:
The procedure for multipliying by a one-digit number involves multiplying the base numbers and then adding the exponents when dealing with exponential numbers. For instance, if you are multiplying numbers in scientific notation, you would multiply the coefficients and then add together the exponents of the base 10. If the problem is 2 x 103 × 3 x 102, you would multiply 2 by 3 to get 6, and then add the exponents 3 and 2 to get 5, resulting in 6 x 105. In situations where you multiply a number by a power of 10, you can simply move the decimal point to the right the number of places equal to the exponent. For example, 1.9436 × 102 becomes 194.36.
Remember, when you multiply any number by 1, the value does not change, because the multiplicative identity of 1 means it has no effect on the value of the other number. Therefore, whether you're working with simple digits or more complex expressions like powers of 10, the process of multiplying by a one-digit number remains straightforward with the application of these basic arithmetic rules and properties.