Table of contents

0. Review of Algebra4h 16m
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 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

1:13 minutes

Problem 81c

Textbook Question

For the decimal number 46.249, round to the place value indicated. (a) hundredths (b) tenths (c) ones or units (d) tens

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Key Concepts

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

Rounding Rules

Rounding is the process of adjusting the digits of a number to make it simpler while keeping its value close to the original. The basic rule is that if the digit to the right of the rounding place is 5 or greater, you round up; if it is less than 5, you round down. Understanding these rules is essential for accurately rounding numbers to specified place values.

Place Value System

The place value system assigns a value to each digit in a number based on its position. In the number 46.249, for example, the digit 4 is in the tens place, 6 in the units place, 2 in the tenths place, 4 in the hundredths place, and 9 in the thousandths place. Recognizing these positions is crucial for determining which digit to round when asked for a specific place value.

Decimal Representation

Decimals are a way of expressing numbers that are not whole, using a decimal point to separate the whole number part from the fractional part. In the number 46.249, the digits after the decimal point represent fractions of ten. Understanding how to interpret and manipulate decimal numbers is vital for performing rounding operations correctly.