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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1:26 minutes

Problem 80

Textbook Question

Write a decimal number that has 5 in the thousands place, 0 in the tenths place, and 4 in the ten-thousandths place.

Verified step by step guidance

Identify the place values mentioned in the problem: thousands place, tenths place, and ten-thousandths place.

Place the digit 5 in the thousands place. This means the number is at least 5000.

Place the digit 0 in the tenths place. This indicates that there are no tenths in the decimal part of the number.

Place the digit 4 in the ten-thousandths place. This means in the decimal part, four places after the decimal point, the digit is 4.

Fill in any missing place values with zeros to maintain correct positions. This includes the hundreds, tens, units, hundredths, and thousandths places.

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Key Concepts

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

Place Value

Place value is the numerical value that a digit holds based on its position within a number. In the decimal system, each position represents a power of ten, with the rightmost digit representing tenths, hundredths, thousandths, and so on. Understanding place value is essential for accurately interpreting and constructing numbers.

Decimal Representation

Decimal representation refers to the way numbers are expressed using a decimal point to separate the whole number part from the fractional part. Each digit after the decimal point represents a fraction of ten, allowing for precise expression of values that are not whole numbers. This concept is crucial for writing and understanding numbers in various contexts.

Constructing Decimal Numbers

Constructing decimal numbers involves placing digits in their correct positions according to their place values. For example, to create a number with specific digits in designated places, one must understand where each digit belongs, such as thousands, tenths, or ten-thousandths. This skill is vital for accurately forming numbers based on given criteria.