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3 years ago

What is scientific notation? Why is it useful? How is it used in the real world?

Mathematics

2 answers:

VladimirAG [237]3 years ago

7 0

is used to write very large or very small numbers using less digits. Discover examples of scientific notation used in real life and acquire the comprehension of complex concepts such as polynomials and exponents.

Alex_Xolod [135]3 years ago

7 0

Very big and very small numbers are hard to write down because of all the zeroes and they're also hard to quickly evaluate and compare.

Instead of using a long sequence of decimal digits to represent numbers, scientific notation uses a shorter number multiplied by a power of 10 and it's always in that form and if it's not, it's not in proper scientific notation.

Scientific notation uses positive exponents to represent very large numbers and negative exponents to represent very small numbers.

I have attached an image which shows what scientific can be used for and an example of a number written in scientific notation.

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When graphing a linear inequality in two variables, explain how to determine which side of the boundary line to shade. Please he

Murrr4er [49]

$\ \textgreater \$ means you shade the part above the line, and $\ \textless \$ means you shade the part under the line.

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8 0

3 years ago

You divide a number and get a remainder of 4. what 1 - digit number can the divisor of the problem?

ahrayia [7]

Answer:

Any of the numbers 5,6,7,8,9 could be the divisor of the problem.

Step-by-step explanation:

Division

If I divide a number and get a remainder of 4, then the divisor must be greater than 4. A divisor of 4, for example, would lead to a remainder of (maximum) 3.

Thus, our divisor can only be one among the numbers: 5,6,7,8,9. If the dividend is exactly 4, then the divisions

4/5, 4/6, 4/7, 4/8, and 4/9

they all produce the same remainder of 4.

Thus, any of the numbers 5,6,7,8,9 could be the divisor of the problem

6 0

4 years ago

Expand using the properties and rules for logarithms

malfutka [58]

Consider expression $\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).$

1. Use property

$\log_a\dfrac{b}{c}=\log_ab-\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.$

2. Use property

$\log_abc=\log_ab+\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.$

3. Use property

$\log_ab^k=k\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.$

4. Use property

$\log_{a^k}b=\dfrac{1}{k}\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.$