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. {x | x ∈ U, x ∉ R}
Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
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- 9. Sequences, Series, & Induction1h 22m
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0. Review of Algebra
Exponents
Problem 107
Textbook Question
Multiply or divide as indicated. 22.41 × 33
Verified step by step guidance1
Identify the operation to be performed, which is multiplication of the two numbers: 22.41 and 33.
Write the multiplication expression as \$22.41 \times 33$.
Multiply the numbers by treating them as decimals: multiply 2241 by 33 first, ignoring the decimal point.
Count the total number of decimal places in the original numbers (22.41 has two decimal places, 33 has none), and place the decimal point in the product accordingly.
Express the final product with the decimal point correctly placed to complete the multiplication.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Decimal Numbers
Multiplying decimal numbers involves treating them as whole numbers first, then placing the decimal point in the product. The total number of decimal places in the factors determines the decimal places in the answer.
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Place Value and Decimal Points
Understanding place value is crucial when working with decimals. Each digit's position relative to the decimal point affects its value, and correctly positioning the decimal in the result ensures an accurate answer.
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Order of Operations
When a problem involves multiple operations like multiplication and division, the order of operations (PEMDAS) guides which operation to perform first. Here, multiplication and division are performed from left to right as they appear.
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