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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1:18 minutes

Problem 118

Textbook Question

Multiply or divide as indicated. 785.91 * 10

Verified step by step guidance

Identify the operation to be performed: multiplication.

Recognize that multiplying a number by 10 shifts the decimal point one place to the right.

Start with the number 785.91.

Shift the decimal point one place to the right to get the new number.

Write down the new number after shifting 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 fundamental arithmetic operation that represents the repeated addition of a number. In this context, multiplying 785.91 by 10 means adding 785.91 to itself ten times. This operation is essential for scaling numbers and is commonly used in various mathematical applications.

Place Value

Place value is the numerical value that a digit holds based on its position within a number. In the case of multiplying by 10, each digit in the number shifts one place to the left, effectively increasing its value by a factor of ten. Understanding place value is crucial for performing operations with decimals and large numbers.

Decimal Numbers

Decimal numbers are numbers that include a decimal point, which separates the whole number part from the fractional part. In this question, 785.91 is a decimal number, and multiplying it by 10 will affect both the whole and fractional parts. Mastery of decimal operations is vital for accurate calculations in real-world scenarios.