How does the position of the decimal changes in a quotient as you divied by 10 100 1000

1 answer:

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When you multiply whole numbers by 10, 100, 1000, and so on (powers of ten), you can simply “tag” as many zeros on the product as there are in the factor 10, 100, 1000 etc.There is a similar shortcut for multiplying decimal numbers by numbers such as 10, 100, and 1000:

Move the decimal point to the right as many places as there are zeros in the factor.10 × 0.49 = 04.9 = 4.9 Move the decimal point one step to the right (10 has one zero).100 × 2.65 = 265. = 265 Move the decimal point two steps to the right (100 has two zeros). The number 265. is 265 (as shown above).1000 × 0.370 = 370. = 370 1000 means we move the point three steps. Write a zero at the end of 0.37 so that the decimal point can “jump over to” that place.

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The same number of people live on the islands Beautiful Sunrise and Gorgeous

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Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

In this problem, we have that:

We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.

There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

$P = \frac{a}{x} \times 100\%$