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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1:16 minutes

Problem 101

Textbook Question

Add or subtract as indicated. 32.56 + 47.356 + 1.8

Verified step by step guidance

Identify the numbers you need to add: 32.56, 47.356, and 1.8.

Align the numbers vertically by their decimal points to ensure proper addition.

If necessary, add zeros to the end of the numbers to make sure each number has the same number of decimal places: 32.560, 47.356, and 1.800.

Add the numbers column by column, starting from the rightmost decimal place and moving to the left.

Combine the sums from each column to find the total sum of the numbers.

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Key Concepts

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

Decimal Addition

Decimal addition involves aligning numbers by their decimal points to ensure that each digit is added in the correct place value. When adding decimals, it is crucial to maintain the same number of decimal places in the result, which may require adding zeros to the shorter numbers. This ensures accuracy in the final sum.

Place Value

Place value refers to the value of a digit based on its position within a number. In decimal numbers, each position represents a power of ten, with the rightmost digit being the tenths place, followed by hundredths, thousandths, and so on. Understanding place value is essential for correctly performing operations like addition and subtraction with decimals.

Rounding and Significant Figures

Rounding is the process of adjusting the digits of a number to make it simpler while maintaining its value close to the original. Significant figures are the digits in a number that contribute to its precision. When performing operations with decimals, it is important to consider rounding and significant figures to ensure that the final answer reflects the appropriate level of accuracy.