Question

Compare the method of using expanded form and the method of using place value to multiply a decimal and a whole number????

Answer 1

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

Answer 2

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 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.