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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0:40 minutes

Problem 79

Textbook Question

In the decimal number 367.9412, name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths

Verified step by step guidance

Identify the place value of each digit in the decimal number 367.9412.

(a) Tens: Look at the second digit from the left in the whole number part.

(b) Tenths: Look at the first digit to the right of the decimal point.

(d) Ones or Units: Look at the first digit from the left in the whole number part.

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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 refers to the value of a digit based on its position within a number. In a decimal number, each position to the left of the decimal point represents increasing powers of ten, while each position to the right represents decreasing powers of ten. Understanding place value is essential for identifying the significance of each digit in a number.

Decimal System

The decimal system is a base-10 numeral system that uses ten digits (0-9) to represent numbers. In this system, the position of each digit determines its value, especially in relation to the decimal point, which separates whole numbers from fractional parts. This system is fundamental for performing arithmetic operations and understanding numerical relationships.

Identifying Place Values

Identifying place values involves recognizing which digit corresponds to specific categories such as tens, ones, tenths, hundredths, and thousandths. Each category has a defined position relative to the decimal point, and knowing how to locate these positions allows for accurate interpretation of the number's structure and value.