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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0:42 minutes

Problem 123

Textbook Question

Multiply or divide as indicated. 1.62/10

Verified step by step guidance

Identify the operation: This problem requires division.

Write the division expression: \( \frac{1.62}{10} \).

Understand that dividing by 10 is equivalent to moving the decimal point one place to the left.

Move the decimal point in 1.62 one place to the left.

Rewrite the number with the decimal point moved to find the result.

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Key Concepts

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

Division

Division is one of the four basic arithmetic operations, representing the process of determining how many times one number is contained within another. In the expression 1.62/10, 1.62 is the dividend, and 10 is the divisor. The result, known as the quotient, indicates how much of the divisor fits into the dividend.

Decimal Numbers

Decimal numbers are numbers that include a decimal point, which separates the whole number part from the fractional part. In the case of 1.62, the '1' is the whole number, while '62' represents the hundredths place. Understanding how to manipulate decimal numbers is crucial for accurate calculations in division.

Place Value

Place value refers to the value of a digit based on its position within a number. In decimal numbers, each position to the right of the decimal point represents a fractional value (tenths, hundredths, etc.). When dividing 1.62 by 10, recognizing the place value helps in determining how to shift the decimal point to find the quotient accurately.