Ch. P - Fundamental Concepts of Algebra

Blitzer8th EditionCollege AlgebraISBN: 9780136970514Not the one you use?Change textbook

Blitzer 8th Edition

Ch. P - Fundamental Concepts of Algebra

Problem 84

Chapter 1, Problem 84

Write each number in scientific notation. 0.0083

Verified step by step guidance

Identify the original number: 0.0083.

Recall that scientific notation expresses a number as $a \times 10^{n}$, where $1 \leq |a| < 10$ and $n$ is an integer.

To write 0.0083 in scientific notation, move the decimal point to the right until you have a number between 1 and 10. Count how many places you move the decimal.

Since you move the decimal 3 places to the right, the exponent $n$ will be negative 3.

Express the number as $8.3 \times 10^{-3}$.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Scientific Notation

Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It simplifies handling very large or very small numbers by using exponents to indicate the decimal shift.

Decimal Place Movement

Converting to scientific notation involves moving the decimal point to create a number between 1 and 10. The number of places moved determines the exponent on 10, positive if moved left, negative if moved right.

Negative Exponents

When the original number is less than 1, the exponent in scientific notation is negative. This indicates the decimal point was moved to the right to form the coefficient between 1 and 10.

Recommended video:

Guided course

6:37

Zero and Negative Rules

Related Practice

Textbook Question

Find each product. (x+7y)(3x-5y)

Textbook Question

State the name of the property illustrated. 1/(x+3) (x+3)=1, x≠−3

Textbook Question

Perform the indicated operations. Indicate the degree of the resulting polynomial. $(13 x^{3} y^{2} - 5 x^{2} y - 9 x^{2}) - (- 11 x^{3} y^{2} - 6 x^{2} y + 3 x^{2} - 4)$

Textbook Question

In Exercises 85–96, simplify each algebraic expression. 5(3x+4)−4

Textbook Question

In Exercises 65–92, factor completely, or state that the polynomial is prime. 20y⁴−45y²

views

Textbook Question

In Exercises 83–90, perform the indicated operations. Simplify the result, if possible. (2−6/(x+1))(1 + 3/(x−2))