/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 16 Round each number to the given p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 16

Round each number to the given place value. \(8363 ;\) hundreds

Short Answer

Expert verified
8363 rounded to the hundreds place is 8400.

Step by step solution

01

Identify the Place Value

The given number is 8363, and we need to round it to the hundreds place. The digit in the hundreds place is 3.
02

Look at the Next Digit

After identifying the hundreds place, look at the digit to the right of it (the tens place). In 8363, the digit in the tens place is 6.
03

Apply Rounding Rules

According to rounding rules, if the digit in the tens place is 5 or greater, increase the hundreds place by 1. Since the tens digit is 6, we increase the hundreds digit (3) by 1, making it 4.
04

Set Remaining Digits to Zero

Change all digits to the right of the hundreds place to zeros. Thus, 8363 rounded to the hundreds place is 8400.

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.

Place Value
Understanding place value is essential in rounding numbers. Place value describes the position of a digit in a number. Each position has a different weight:
  • The units (or ones) place is the rightmost digit.
  • To the left of the units is the tens place.
  • Further left is the hundreds place, and so on.
For example, in the number 8363, the positions are as follows:
  • 8 is in the thousands place,
  • 3 is in the hundreds place,
  • 6 is in the tens place,
  • and 3 is in the units place.
Recognizing place value helps determine which digit to focus on when rounding.
Rounding Rules
Rounding makes numbers simpler and easier to work with, either by increasing or decreasing them to a more convenient value. Here are the basic steps for rounding:
  • First, identify the place value to which you want to round.
  • Next, look at the digit immediately to the right of that place value.
  • If this digit is 5 or greater, increase the digit in the rounding place by 1.
  • If it's less than 5, keep the digit in the rounding place the same.
  • All digits to the right of the rounding place change to zero.
In our example of rounding 8363 to the hundreds place, we considered the tens digit, which was 6, and since it's greater than 5, we increased the hundreds digit from 3 to 4. This makes the rounded value 8400.
Digits
A digit is any single number from 0 to 9. Digits form the building blocks of larger numbers. Understanding how digits work together helps in executing mathematical operations correctly.
In our example, the number 8363 comprises four digits: 8, 3, 6, and 3. Each has its own place value:
  • Thousands place: 8
  • Hundreds place: 3
  • Tens place: 6
  • Units place: 3
When rounding numbers, we often change some of these digits based on their place and value in the number. For example, in 8363 rounded to the hundreds place, the digits change to 8400.

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

What is the greatest three-digit number that can be formed from the digits \(6,9,\) and \(4 ?\) Use each digit only once.

How many zeros are there in the number one hundred billion?

Convert the numbers to expanded form. $$7089$$

Convert the numbers to standard form. 2 ten-thousands \(+6\) thousands \(+2\) ones

Convert the numbers to standard form. 8 ten-thousands \(+5\) thousands \(+7\) ones
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.