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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
All textbooksLial 13th EditionCh. R - Review of Basic ConceptsProblem 101
Chapter 1, Problem 101

Add or subtract as indicated. 32.56 + 47.356 + 1.8

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1
Identify the numbers to be added: 32.56, 47.356, and 1.8.
Align the numbers by their decimal points to prepare for addition:
\[\begin{array}{r} 32.560 \\ 47.356 \\ +\ 1.800 \end{array}\]
Add the numbers column by column starting from the rightmost decimal place, carrying over if necessary.
Write down the sum with the decimal point aligned properly.

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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 adding numbers with decimal points by aligning the decimal points vertically. This ensures that digits of the same place value (tenths, hundredths, etc.) are added correctly. After alignment, add each column starting from the right, carrying over if necessary.
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Place Value Alignment

Place value alignment means arranging numbers so that digits with the same place value line up in columns. For decimals, this means lining up the decimal points to ensure tenths, hundredths, and thousandths are added properly. This prevents errors in calculation.
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Rounding and Precision

When adding decimals, the result should be rounded to the least precise decimal place among the numbers involved. This maintains the accuracy of the answer based on the given data. For example, if one number has only one decimal place, the sum should be rounded to one decimal place.
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Related Practice
Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. Q ∩ (M ∪ N)

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Textbook Question

Factor by any method. See Examples 1–7. 4z2+28z+49

Textbook Question

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (x2/3)2/(x2)7/3

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Perform the indicated operations. Assume all variables represent positive real numbers. ∜32 + 3∜2

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Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (p3)1/4/(p5/4)2

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Evaluate each expression for p=-4, q=8, and r=-10. q+r / q+p

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