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
and consider a whole number as
The expanding of
can be expressed as follows,
![0.23 = \dfrac{2}{{10}} + \dfrac{3}{{100}}](https://tex.z-dn.net/?f=0.23%20%3D%20%5Cdfrac%7B2%7D%7B%7B10%7D%7D%20%2B%20%5Cdfrac%7B3%7D%7B%7B100%7D%7D)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7B%5Ctext%7BMultiply%7D%7D%26%3D%204%5Ctimes%200.23%5C%5C%26%3D%204%20%5Ctimes%20%5Cfrac%7B%7B23%7D%7D%7B%7B100%7D%7D%5C%5C%26%3D%20%5Cfrac%7B%7B92%7D%7D%7B%7B100%7D%7D%5C%5C%26%3D%200.92%5C%5C%5Cend%7Baligned%7D)
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 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.