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

Previous problemNext problem

1:25 minutes

Problem 113

Textbook Question

Multiply or divide as indicated. 32.48/11.6

Verified step by step guidance

Identify the operation required: division.

Set up the division problem as \( \frac{32.48}{11.6} \).

To simplify the division, eliminate the decimal by multiplying both the numerator and the denominator by 10 to make them whole numbers: \( \frac{324.8}{116} \).

Perform the division of the whole numbers: divide 324.8 by 116.

Simplify the result if possible, or express it as a decimal.

Verified video answer for a similar problem:

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

Video duration:

Play a video:

Was this helpful?

Key Concepts

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

Division of Decimals

Dividing decimals involves shifting the decimal point in the divisor (the number you are dividing by) to the right until it becomes a whole number. You must then shift the decimal point in the dividend (the number being divided) the same number of places to the right. This process allows for easier calculation, and the result will maintain the same decimal placement as the adjusted dividend.

Place Value

Place value is the numerical value that a digit holds based on its position within a number. In decimal numbers, each position to the left of the decimal point represents a power of ten, while each position to the right represents a negative power of ten. Understanding place value is crucial for accurately performing operations with decimals, as it affects the precision of the result.

Rounding Decimals

Rounding decimals is the process of reducing the number of digits in a decimal while maintaining its value as close to the original as possible. This is often done to simplify calculations or to express a number in a more manageable form. When rounding, you look at the digit immediately to the right of the place value you are rounding to; if it is 5 or greater, you round up, otherwise, you round down.