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In what situations would scientific notation be more convenient than standard notation?

Scientific notation provides a compact way of writing very large or very small numbers.

Algebra

Chapter 5

Exponents and Polynomials

Section 3

Scientific Notation

Polynomials

Campbell University

Oregon State University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

00:52

What is the purpose of sci…

01:44

What is the advantage of u…

01:53

List two advantages of usi…

00:40

Explain the advantage of u…

01:46

Describe how scientific no…

01:28

How does scientific notati…

03:46

Why is scientific notation…

00:31

Explain the advantages of …

00:36

Why might a number be writ…

00:56

How do you know if a numbe…

03:43

What is the general form f…

00:30

Explain what it means for …

00:43

Under what circumstances s…

00:12

What special notation do y…

00:45

Explain, in your own words…

When dividing numbers in s…

03:11

Explain how to convert a n…

03:25

01:07

Give one example each of r…

00:39

When a large or small numb…

scientific notation is more convenient in situations with numbers that are very large or very small. It's our first number is very large. So instead of writing this whole number out, you can shorten it to write 4.8 times 10 to the 11th power. Our second number is TEUs is very small, so we can shorten it and right out 2.36 times 10 to the night.

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In mathematics, the absolute value or modulus |x| of a real number x is its …

What is the purpose of scientific notation?

What is the advantage of using scientific notation over decimal notation?

List two advantages of using scientific notation. Answers may vary.

Explain the advantage of using scientific notation.

Describe how scientific notation makes it easier to work with very large or …

How does scientific notation differ from ordinary notation?

Why is scientific notation useful?

Explain the advantages of writing very large and very small numbers in scien…

Why might a number be written in scientific notation instead of decimal nota…

How do you know if a number is written in scientific notation?

What is the general form for writing numbers in scientific notation?

Explain what it means for a number to be written in scientific notation. Giv…

Under what circumstances should exponents be added?

What special notation do you need to use when you are giving an approximate …

Explain, in your own words, how to determine if a number is expressed in sci…

When dividing numbers in scientific notation, what must you do with the expo…

Explain how to convert a number from standard notationto scientific nota…

Explain how to convert a number from standard notation to scientific notatio…

Give one example each of real-world situations where it is most appropriate …

When a large or small number is written in standard scientific notation, the…

03:38

$\begin{array}{llll}{\text { a. } 4 x y^{-2}} & {\text { b. }(4 x y)^{-2…

00:44

Solve each equation.$$x^{2}-4 x-21=0$$

02:10

Factor. If an expression is prime, so indicate.$$30 r^{5}+63 r^{4}-3…

01:30

Perform the operations.$$\left(2 c^{2}-4 c\right)+\left(8 c-c^{2}\ri…

00:24

Find each product. See Example 1.$$(b-1)^{2}$$

01:31

Factor. If an expression is prime, so indicate.$$130 r^{2}+20 r-110<…

Solve each equation.$$x^{2}-36=0$$

Solve each equation.$$9 y^{2}-49=0$$

02:41

Use multiplication to determine if each factorization is correct.a. $9 y…

Factor by grouping.$$7 m^{3}-2 m^{2}+14 m-4$$