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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1:39 minutes

Problem 116

Textbook Question

Multiply or divide as indicated. 44.4788/5.27

Verified step by step guidance

Identify the operation to be performed, which is division in this case: \( \frac{44.4788}{5.27} \).

Set up the division problem by writing 44.4788 as the dividend and 5.27 as the divisor.

To simplify the division, consider moving the decimal point in the divisor (5.27) to the right until it becomes a whole number. Move the decimal point in the dividend (44.4788) the same number of places.

Perform the division using long division or a calculator, dividing the adjusted dividend by the adjusted divisor.

Verify your result by multiplying the quotient by the original divisor (5.27) to ensure it equals the original dividend (44.4788).

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Key Concepts

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

Division of Decimals

Dividing decimals involves shifting the decimal point to the right to convert the divisor into a whole number. The same shift must be applied to the dividend. For example, in the operation 44.4788 ÷ 5.27, you would multiply both numbers by 100 to eliminate the decimals, transforming it into 4447.88 ÷ 527.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which calculations should be performed to ensure consistent results. In this case, since the operation is straightforward division, the focus is primarily on executing the division correctly without the need for additional operations like addition or multiplication.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. When performing division, the result should be reported with the same number of significant figures as the measurement with the least number of significant figures. In the example of 44.4788 and 5.27, the result should reflect the appropriate level of precision based on the significant figures of the original numbers.