Question

Compare and contrast the methods you can use to multiply a whole number and a decimal

Answer 1

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 0.32 and consider a whole number as 5.

The expanding of 0.32 can be expressed as follows,

$0.32 = \dfrac{3}{{10}} + \dfrac{2}{{100}}$

Now multiply 0.32 by 5.

$\begin{aligned}{\text{Multiply}}&= 5 \times 0.32\\&=5 \times \frac{{32}}{{100}}\\&=\frac{{160}}{{100}}\\&= 1.60\\\end{aligned}$

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.

Answer 2

Answer:

Answer with explanation

When you look at whole numbers , it begin from Zero and has no end , and  decimal ,which is the set of rational numbers and irrational numbers, which came into consideration after whole numbers.

Whole number =0,1,2,3,4,5,6......

Decimal  number = 0.1,0.25,0.325, 0.002000200002000002,..........

→0 × Any Decimal number =0

→ Any other whole number × A decimal number, gives

    Convert that decimal into equivalent fraction,or if irrational number,write it up to three decimal places, and then multiply numerator with Numerator as denominator will remain unchanged to get the required result or multiply the decimal number with the whole number.

For example

→ Whole number × Terminating Decimal

    5 × 0.25

$=5 \times \frac{25}{100}\\\\=\frac{125}{100}\\\\=0.25$

→Whole number × A non terminating repeating Decimal

2×0.22222222.......

$=2 \times \frac{2}{9}\\\\=\frac{4}{9}$

= An rational number, that is non terminating repeating decimal.

→→Whole number × An irrational number (A non terminating non repeating Decimal)

5 × √2=5 ×1.414(written to three decimal places)

=7.07(approx)

So, when there is an irrational number , write that decimal up to three decimal places, and then multiply that whole number by that irrational or decimal number to get the result.