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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 98
Chapter 1, Problem 98

Add or subtract as indicated. 345.1 - 56.31

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1
Identify the operation to perform, which is subtraction: \(345.1 - 56.31\).
Align the numbers by their decimal points to ensure correct subtraction:
\(\begin{array}{r} 345.10 \\ -56.31 \end{array}\)
Subtract the digits starting from the rightmost decimal place, borrowing if necessary.
Write down the result of each column subtraction to find the final difference.

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Key Concepts

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

Decimal Subtraction

Decimal subtraction involves subtracting numbers that have digits after the decimal point. It requires aligning the decimal points vertically to ensure digits of the same place value are subtracted correctly.
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Place Value Alignment

When performing operations with decimals, it is essential to line up the decimal points so that digits in the same place value (ones, tenths, hundredths) are in the same column. This prevents errors in calculation.
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Solving Systems of Equations - Elimination

Borrowing in Subtraction

Borrowing is a technique used when subtracting a larger digit from a smaller one in a given place value. It involves taking one unit from the next higher place value to make subtraction possible.
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Related Practice
Textbook Question

Evaluate each expression. 15÷5⋅4÷6−8−6−(−5)−8÷2\(\frac{15 \div 5 \cdot 4 \div 6 - 8}{-6 - (-5) - 8 \div 2}\)

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Textbook Question

Perform the indicated operations. Assume all variables represent positive real numbers. 233+4243−8132\(\sqrt\)[3]{3} + 4\(\sqrt\)[3]{24} - \(\sqrt\)[3]{81}

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Textbook Question

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (z3/4)/(z5/4)(z-2)

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Textbook Question

Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [10(4x2-9)2 - 25x(4x2-9)3] / [15(4x2-9)6]

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. (N ∪ R) ∩ M

Textbook Question

Evaluate each expression for p=-4, q=8, and r=-10. -p² -7q +r²

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