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Gennadij [26K]
3 years ago
8

1/2 as a decimal and as a percentage

Mathematics
1 answer:
stiv31 [10]3 years ago
6 0

Here is your fraction:

\frac{1}{2}

You need to change it into:

  • A decimal
  • A percentage

DECIMAL

Let's start with decimal. To change a fraction into a decimal, divide the numerator(number on the top of a fraction) by the denominator(number in the bottom of a fraction). In this fraction, the numerator is 1 and the denominator is 2. That means you need to divide 1 by 2.

Divide:

1 \div 2 = 0.5

Your answer as a decimal is 0.5

PERCENTAGE

To change a fraction into a percentage, it's easier to have the decimal form. We have already found the decimal form, which is 0.5. Now, all you need to do is move the decimal point 2 places to the right and add a percent sign.

First move the decimal point 2 places to the right:

0.5 \rightarrow 50

Now add the percent sign:

50 \rightarrow 50 \%

Your answer as a percent sign is 50%

_______________________________________________________

Decimal: 0.5

Percent: 50%

_______________________________________________________

Remember:

Fraction to decimal → Divide the numerator(number on the top of a fraction) by the denominator(number in the bottom of  fraction)

Fraction to percentage → Find the decimal form. Then move the decimal point 2 places to the right and add a percent sign.

<em>If you have any questions, feel free to ask in the comments! :)</em>

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allsm [11]

Answer:

8

Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

√98 = √(49 x 2) = √49√2 = 7√2

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Therefore,  (√98 - √50)² = (7√2 - 5√2)²

                                         = (2√2)²

                                         = 4 x 2

                                         = 8

<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98   and   b = √50

So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

                                      = 98 - 2√98√50 + 50

                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

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Answer:

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Step-by-step explanation:

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We find here the no of trials are 90 but we cannot say the probability is the same for all trials.

In other words, each individual may have a different probability to respond.

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Answer:

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From the question:

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Divide both side by –1

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