/*! 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 91 Solve. 2849.1738 rounded to th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 91

Solve. 2849.1738 rounded to the nearest hundred is a. 2849.17 b. 2800 c. 2850 d. 2849.174

Short Answer

Expert verified
The answer is b. 2800.

Step by step solution

01

Understand Rounding to the Nearest Hundred

When rounding a number to the nearest hundred, we look at the ten's digit. In our case, the number to round is 2849.1738.
02

Identify the Hundreds and Tens Digit

The hundreds digit in 2849.1738 is 8, and the tens digit is 4.
03

Determine Rounding Direction

Since the tens digit is 4, which is less than 5, we round down, meaning the hundreds digit remains the same.
04

Round the Number

Thus, 2849.1738 rounded to the nearest hundred is 2800.

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.

Rounding to the Nearest Hundred
Rounding numbers helps simplify them, making them easier to work with in everyday calculations. When rounding to the nearest hundred, we focus on the hundreds and tens place of the number. The key idea here is to make a decision on whether to round the hundreds digit up or keep it the same. To decide this:
  • Look at the tens digit of the number.
  • If the tens digit is 5 or more, increase the hundreds digit by one and change the digits to the right of it to zeros.
  • If the tens digit is less than 5, do not change the hundreds digit, but still convert the digits to the right of it to zeros.
For example, with the number 2849.1738, the nearest hundred is dealt with by these principles, and leads to rounding down to 2800.
Understanding Place Value
Place value tells us the value of a digit depending on its position in a number. Each position in a number has a value ten times that of the position to its right. This is a fundamental concept in understanding how numbers are formed and manipulated. Let's break it down:
  • The rightmost digit is in the units place.
  • Next is the tens place.
  • The third position from the right is the hundreds place.
  • Beyond that are the thousands, ten thousands places, and so on.
In the number 2849.1738, the digit 8 is in the hundreds place, and the digit 4 is in the tens place. This is important for rounding decisions, as it guides what happens to the hundreds digit when we round to the nearest hundred based on the tens value.
Rounding Rules Made Simple
Understanding the rules for rounding helps make decisions on whether to adjust digits up or not. The rules are designed to ensure the number is as close as possible to its original value, while still being simpler. Follow these rules for efficient rounding:
  • Check the digit immediately to the right of the digit you're rounding to (e.g., for rounding to nearest hundred, check the tens digit).
  • If that digit is 5 or greater, increase the target digit by 1.
  • If that digit is less than 5, leave the target digit unchanged.
  • Convert all digits to the right of the target digit to zeroes after rounding.
Applying these rules helps for numbers like 2849.1738. Here, the tens digit is 4, so we round to 2800, leaving the hundreds digit the same. These rules make rounding logical and predictable, simplifying complex calculations.

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

Divide. Divide -18 by -0.6

Perform the indicated operation. \(\frac{3}{5}-\frac{7}{10}\)

Solve. $$ 7.68 y=-114.98496 $$

In the United States, an average child will wear down 730 crayons by his or her tenth birthday. Find the number of boxes of 64 crayons this is equivalent to. Round to the nearest tenth.

Perform the indicated operation. \(7.2+0.05+49.1\)
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

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.