ascending order

Correct answer: Look at the ones place first, ignoring the decimal. The order from greatest to least is 2, 4, 5, 6, and 8. Because none of the numbers in the ones place are the same, it doesn’t matter what the decimal will be on these numbers- the order will remain the same. The order is 2.1, 4.8, 5.2, 6.9, 8.5.

0.01 (point zero one) which is also equal to 1/100.

0.1 as a fraction in simplest form is 1/10. For this answer, you simply have to replace the point with 10 in the denominator.

0.1 in binary is 0.5 in decimal.

0.5 : 0.1 , 0.25 : 0.01 , 0.125 : 0.001 and so on. But then, for example, how is the 0.1(in decimal) represented in binary?

The dot in “0.5” is called a decimal point, as you have written the number in base 10: the “5” after the point means “five tenths”. Yes, “tenths” because you are using decimal notation. The same number in binary would be written “0.1”, where the dot is a binary point, and the “1” means “one half”.

So there’s no such thing as a “binary number,” just binary representation. Decimal notation is called base ten. It’s the usual way of representing numbers with the digits “0”–”9.” Binary is base two. It only uses two digits: “0” and “1.”

To represent 1/3 on a number line, we divide the gap between O and A into 3 equal parts. Let T and Q be the points of division. Then, T represents 1/3 and Q represents 2/3, because 2/3 means 2 parts out of 3 equal parts as shown below.

Yes, every real number has a binary representation, just like every real number has a decimal (and an octal, and hexadecimal, and similar for any other base) representation, though only if you allow an infinite number of digits.

Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically “0” (zero) and “1” (one). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit.

1100101

The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right). For example, the binary representation for decimal 74 is 1001010.

From least to greatest, we get: 0.6010, 6.010, 6.100. Answer: Ordering these decimals from least to greatest we get: 0.601, 6.01, 6.1. Sometimes it is helpful to place a number in a circle to the right of each decimal you are trying to order.

We can use this method to see which decimals are bigger:

1. Set up a table with the decimal point in the same place for each number.
2. Put in each number.
3. Fill in the empty squares with zeros.
4. Compare using the first column on the left.
5. If the digits are equal move to the next column to the right until one number wins.

The level of statistical significance is often expressed as the so-called p-value. So, you might get a p-value such as 0.03 (i.e., p = . 03). This means that there is a 3% chance of finding a difference as large as (or larger than) the one in your study given that the null hypothesis is true.

A p-value of 0.08 being more than the benchmark of 0.05 indicates non-significance of the test. This means that the null hypothesis cannot be rejected. Cite.

If P(real) = 0.9, there is only a 10% chance that the null hypothesis is true at the outset. Consequently, the probability of rejecting a true null at the conclusion of the test must be less than 10%. It shows that the decrease from the initial probability to the final probability of a true null depends on the P value.

If p-value = 0.2, there is a 20% chance that the null hypothesis is correct?. P-value = 0.02 means that the probability of a type I error is 2%‏. P-value is a statistical index and has its own strengths and weaknesses, which should be considered to avoid its misuse and misinterpretation(12).

After you perform a hypothesis test, there are only two possible outcomes. When your p-value is less than or equal to your significance level, you reject the null hypothesis. The data favors the alternative hypothesis. When your p-value is greater than your significance level, you fail to reject the null hypothesis.

The p-value is a number between 0 and 1 and interpreted in the following way: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis. Always report the p-value so your readers can draw their own conclusions.

Also very low p-values like p<0.0001 will be rarely encountered, because it would mean that the trial was overpowered and should have had a smaller sample size. It would seem appropriate, therefore, to require investigators to explain such results and to consider rejecting the research involved.

The p-value, or probability value, tells you how likely it is that your data could have occurred under the null hypothesis. The p-value tells you how often you would expect to see a test statistic as extreme or more extreme than the one calculated by your statistical test if the null hypothesis of that test was true.

The smaller the p-value, the stronger the evidence that you should reject the null hypothesis. A p-value less than 0.05 (typically ≤ 0.05) is statistically significant. A p-value higher than 0.05 (> 0.05) is not statistically significant and indicates strong evidence for the null hypothesis.

Set the significance level, , the probability of making a Type I error to be small — 0.01, 0.05, or 0.10. Compare the P-value to . If the P-value is less than (or equal to) , reject the null hypothesis in favor of the alternative hypothesis. If the P-value is greater than , do not reject the null hypothesis.