Verified Answer :

Expanded form is extracting the numbers from its standard form and setting it apart as individual numbers according to position then multiplying it -the numbers of zeros increase
Example:
110 x 10500

100 + 10 x 10000 + 500 =  1155000

Place value is arranging it according to the highest number place value to lowest
like,
10
* 5
-----
50


The multiplication of whole number and decimal expansion can be obtained by the use of base-ten system.


Further explanation:

The whole numbers is the series of numbers that starts from zero.


Given:


Explanation:

The place values are only natural numbers.

The base ten systems represent the position of a place value.


After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.


Consider the decimal form is \(0.23\) and consider a whole number as \(4.\)

The expanding of \(0.23\) can be expressed as follows,

\(0.23 = \dfrac{2}{{10}} + \dfrac{3}{{100}}\)


Now multiply 0.23 by 5.

\(\begin{aligned}{\text{Multiply}}&= 4\times 0.23\\&= 4 \times \frac{{23}}{{100}}\\&= \frac{{92}}{{100}}\\&= 0.92\\\end{aligned}\)


The multiplication of whole number and decimal expansion can be obtained by the use of base-ten system.


Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497


Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimals


Keywords: Methods to multiply, whole number, decimal, compare, contrast, methods, base ten system, place value, decimal expansion, natural numbers, real numbers.