Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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1:43 minutes

Problem 119

Textbook Question

Multiply or divide as indicated. 57.116 * 100

Verified step by step guidance

Identify the operation to be performed: multiplication.

Recognize that multiplying a number by 100 is equivalent to moving the decimal point two places to the right.

Start with the number 57.116.

Move the decimal point two places to the right to account for the multiplication by 100.

Write down the new number after moving the decimal point.

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Key Concepts

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

Multiplication

Multiplication is a mathematical operation that represents the repeated addition of a number. In this context, multiplying 57.116 by 100 means adding 57.116 a total of 100 times. This operation is fundamental in algebra and is often used to scale numbers or convert units.

Place Value

Place value is the value of a digit based on its position within a number. In the number 57.116, the digits to the left of the decimal represent whole numbers, while those to the right represent fractional parts. Understanding place value is crucial when performing multiplication, especially with decimals, as it affects the placement of the decimal point in the result.

Decimal Operations

Decimal operations involve performing arithmetic calculations with numbers that have decimal points. When multiplying decimals, it is important to count the total number of decimal places in the factors to correctly place the decimal in the product. This concept is essential for ensuring accuracy in calculations involving non-integer values.