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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 96
Chapter 1, Problem 96

Add or subtract as indicated. 46.88 - 13.45

Verified step by step guidance
1
Identify the operation to perform, which is subtraction: \(46.88 - 13.45\).
Align the numbers by their decimal points to ensure correct subtraction of corresponding place values.
Subtract the digits starting from the rightmost decimal place (hundredths place), moving left through the tenths, units, and tens places.
If necessary, borrow from the next left digit when the top digit is smaller than the bottom digit in any place value.
Write down the result of the subtraction, keeping the decimal point aligned in the answer.

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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 to the right of the decimal point. It requires aligning the decimal points vertically to ensure digits in the same place value are subtracted correctly.
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Adding & Subtracting Functions

Place Value Alignment

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

Basic Arithmetic Operations

Understanding how to perform basic arithmetic operations like subtraction is fundamental. This includes borrowing when the top digit is smaller than the bottom digit in a given place value, ensuring accurate results.
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Arithmetic Sequences - Recursive Formula
Related Practice
Textbook Question

Perform the indicated operations. Assume all variables represent positive real numbers. 8√(2x) - √(8x) + √(72x)

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Textbook Question

Factor by any method. See Examples 1–7. (2y−1)2−4(2y−1)+4(2y-1)^2-4(2y-1)+4

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.) [(x2 +1)4(2x) - x2(4)(x2+1)3(2x)] / [(x2+1)8]

Textbook Question

Evaluate each expression. (-2/9 -1/4) - {-5/18 - (-1/2)}

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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.) [(y2 +2)5(3y) - y3(6)(y2+2)4(3y)] / [(y2+2)7]

Textbook Question

Perform each division. See Examples 9 and 10. (4x3+9x2-10x-6)/(4x+1)