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2 years ago

How can you be sure that 0.56 ÷ 100 = 0.0056 ?

2 answers:

5 0

For every factor 10, move the decimal point one position. Pad with zeros where necessary. Dividing moves to the left, multiplication to the right.

So dividing by 100 is moving it 2 places to the left.

Wewaii [24]2 years ago

5 0

The correct answer is: [A]:
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"When dividing by 100, move the decimal point two places to the left".
__________________________________________________
As such, " 0.56 ÷ 100 = 0.0056" .

We take: "0.56" and move the decimal point two places to the left. This means we point the decimal point to two "essentially imaginary zeros" places, or two "zeros" to the left, by increasing the number of zeros on the left, and then adding the decimal place.
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A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has

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Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

$=\frac{8}{100}\times 10,000=800$

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800 $=\frac{1}{100}\times 800=8$

Also, 1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200 $=\frac{1}{100}\times 9200=92$

1. Has condition Does not have condition totals = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

$=\frac{\text{1 percent of 9200}}{9200}\\\\ \frac{\frac{1}{100}\times 9200}{9200}=\frac{92}{9200}\\\\ =0.01$

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