Problem 550 Round each number to the nearest... [FREE SOLUTION]

Chapter 1: Problem 550

Round each number to the nearest tenth. $$ 4.63 $$

Short Answer

Expert verified

4.6

Step by step solution

Identify the Tenths Place

Look at the number 4.63. Identify the digit in the tenths place. In this number, the tenths place is occupied by the digit 6.

Look at the Hundredths Place

Next, look at the digit in the hundredths place, which is the digit immediately to the right of the tenths place. In 4.63, the hundredths place is occupied by the digit 3.

Determine Whether to Round Up or Down

If the digit in the hundredths place is 5 or greater, round the tenths place up by 1. If it is less than 5, keep the tenths place as it is. Here, the hundredths digit is 3, which is less than 5.

Apply the Rounding Rule

Since the digit in the hundredths place is less than 5, the tenths place remains the same. Therefore, 4.63 rounded to the nearest tenth is 4.6.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

tenths place

When rounding numbers, one of the most important concepts to understand is the tenths place. In a decimal number, the tenths place is the first digit to the right of the decimal point. For example, in the number 4.63, the tenths place is occupied by the digit 6. This digit plays a crucial role in rounding because it is the primary digit you focus on when rounding to the nearest tenth.
To identify the tenths place, simply look at the digit immediately after the decimal point in any given number.
This identification is your first step toward successful rounding.

hundredths place

Once you have identified the tenths place, the next step is to look at the hundredths place. This is the second digit to the right of the decimal point. In the example number 4.63, the hundredths place is occupied by the digit 3. The digit in the hundredths place helps you decide whether to round the tenths place up or down.
To summarize, the hundredths place gives you the detailed information you need to make an accurate rounding decision.
Getting this step correct is essential for precise rounding.

rounding rules

Understanding rounding rules is essential for accurately rounding numbers. The rules are pretty straightforward:

If the digit in the place you're looking at (for example, the hundredths place) is 5 or greater, you round the previous place (the tenths place) up by one.
If the digit in the place you're looking at is less than 5, you keep the previous place the same.

For instance, in the number 4.63, the hundredths place is occupied by 3, which is less than 5. Therefore, you do not round up the tenths place and the rounded number remains 4.6.
By applying these simple rules, you can easily round any decimal number to the nearest tenth.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Round each number to the nearest tenth. $$ 4.63 $$

Short Answer

Step by step solution

Identify the Tenths Place

Look at the Hundredths Place

Determine Whether to Round Up or Down

Apply the Rounding Rule

Key Concepts

tenths place

hundredths place

rounding rules

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Geometry

Logic and Functions

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.