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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.

The natural numbers are those numbers that start from one.

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 [tex]0.62[/tex] and consider a whole number as [tex]5.[/tex]

The expanding of 0.62 can be expressed as follows,

[tex]0.62 = \dfrac{6}{{10}} + \dfrac{2}{{100}}[/tex]

Now multiply 0.62 by 6.

[tex]\begin{aligned}{\text{Multiply}}&= 6\times 0.62\\&= 6 \times \frac{{62}}{{100}}\\&= \frac{{372}}{{100}}\\&= 3.72\\\end{aligned}[/tex]

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.