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

Previous problemNext problem

1:25 minutes

Problem 81

Textbook Question

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

Verified step by step guidance

Identify the digit in the place value you are rounding to and the digit immediately to its right.

For part (a), locate the hundredths place, which is the second digit to the right of the decimal point.

For part (b), locate the tenths place, which is the first digit to the right of the decimal point.

For part (c), locate the ones or units place, which is the first digit to the left of the decimal point.

For part (d), locate the tens place, which is the second digit to the left of the decimal point.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

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 to look at the digit immediately to the right of the place value you are rounding to. If this digit is 5 or greater, you round up; if it is less than 5, you round down.

Place Value

Place value refers to the value of a digit based on its position within a number. In the decimal system, each position represents a power of ten. For example, in the number 46.249, the digit '2' is in the tenths place, '4' is in the hundredths place, and '6' is in the units place, which helps determine how to round the number.

Decimal Representation

Decimal representation is a way of expressing numbers that include a whole number part and a fractional part, separated by a decimal point. Understanding how to read and interpret decimals is crucial for rounding, as it allows you to identify which digits correspond to the specified place values, such as tenths, hundredths, or units.