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:
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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.