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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 111
Chapter 1, Problem 111

Multiply or divide as indicated. 78.65 ÷ 11

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1
Identify the operation to be performed, which is division: dividing 78.65 by 11.
Set up the division expression as \(78.65 \div 11\) or \(\frac{78.65}{11}\).
Perform the division by either using long division or a calculator to divide 78.65 by 11.
If using long division, move the decimal point in the dividend (78.65) to the right to make it a whole number (7865), and do the same for the divisor (11 becomes 11), then divide as with whole numbers.
Place the decimal point in the quotient directly above its position in the dividend to get the final answer.

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Key Concepts

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

Division of Decimals

Division of decimals involves dividing a decimal number by another number, which may be whole or decimal. The process often requires converting the divisor into a whole number by multiplying both the dividend and divisor by the same power of 10, simplifying the division.
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Example 1

Long Division Method

Long division is a step-by-step method used to divide larger numbers, including decimals. It involves dividing, multiplying, subtracting, and bringing down digits sequentially until the division is complete or reaches a desired decimal place.
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Choosing a Method to Solve Quadratics

Rounding and Precision

When dividing decimals, the quotient may have many decimal places. Understanding how to round the result to a specific number of decimal places or significant figures is important for practical and accurate answers.
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