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Vlad [161]
3 years ago
7

How to make a decimal a mixed number​

Mathematics
1 answer:
lianna [129]3 years ago
5 0

Answer:Step 1: Write down the decimal divided by 1, like this: decimal1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction

Example: Convert 0.75 to a fraction

Step 1: Write down 0.75 divided by 1:

0.751

Step 2: Multiply both top and bottom by 100 (because there are 2 digits after the decimal point so that is 10×10=100):

× 100

right over arrow

0.751 = 75100

right under arrow

× 100

(Do you see how it turns the top number

into a whole number?)

Step 3: Simplify the fraction (this took me two steps):

÷5 ÷ 5

right over arrow right over arrow

75100 = 1520 = 34

right under arrow right under arrow

÷5 ÷ 5

Answer = 34

Step-by-step explanation:

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The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

<u>For example:</u>

If we have a*a*a*a, it can be written in exponential form as:

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The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power. 

From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }

\mathbf{= 2^8\times (2^6) \times (2^{-8}) }

\mathbf{= 2^{8+6+(-8)}}

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