/*! 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 24 Round the given value to the nex... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 24

Round the given value to the next greater whole number. $$1622$$

Short Answer

Expert verified
The rounded number is 1623.

Step by step solution

01

Understand Rounding

Rounding a number involves adjusting it to the nearest whole number or decimal place specified. In this exercise, the aim is to round 1622 to the next greater whole number.
02

Identify the Decimal Component

Since the number 1622 is already a whole number and we are asked to round it to the next greater whole number, we must identify a "decimal component" to consider even if it is zero.
03

Applying Rounding Rules

For the purpose of this task, rounding to the "next greater whole number" suggests moving to the next integer despite the decimal part. Normally, a value like 1622.0 would stay as 1622, but this specific instruction is to always choose the next whole number.
04

Perform Rounding

Increase the whole number 1622 by 1, since the instruction dictates rounding to the next greater whole number, resulting in 1623.

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.

Whole Numbers
Whole numbers are basic building blocks in mathematics. They include zero and all positive integers without any fractional or decimal parts. When considering whole numbers, it's essential to remember:
  • They are non-negative integers, starting from zero.
  • Whole numbers do not have a decimal or fractional part.
  • Examples include: 0, 1, 2, 3, and so forth.
In the case of the original exercise, the number 1622 is already a whole number. This means it does not require any adjustments with decimal or fractional values to qualify as a whole number.
Rounding Rules
Rounding is a mathematical technique used to approximate a number to make it simpler or more specific, depending on the context. When rounding whole numbers, certain rules apply:
  • If a number is followed by digits greater than or equal to 5, you round up.
  • If a number is followed by digits less than 5, you round down.
  • When instructed to round to the next greater whole number, you increase the number by one, regardless of the decimal component.
In our exercise, we apply a unique rule: regardless of any decimal content鈥攍ike 1622.0鈥攐ur task is to increase the whole number by one, resulting in 1623. This is due to specific instructions provided, requiring us always to move to the next integer.
Decimal Component
The decimal component of a number refers to the part of the number that comes after the decimal point. It represents values less than one and influences how a number might be rounded.
  • A decimal component is necessary when determining rounding direction.
  • In cases like 1622, the implied decimal component could be considered as 0, like 1622.0.
  • However, for rounding to the next greater whole number, this aspect doesn't dictate the final number, as rounding rules require an increase irrespective of it.
Therefore, even though 1622 doesn't explicitly show a decimal component, understanding it as 1622.0 helps clarify why we move to 1623 when rounding as per the exercise's specific instructions.

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

For each of the scenarios determine the smallest set of numbers for its possible values and classify the values as either discrete or continuous. The student-teacher ratio for classes in a school district

In 2015 , the total number of humans living on the Earth was approximately \(7.35 E 9\) people. Write this population in standard form.

Find two numbers whose sum is 55 and whose product is 684.

The Quadratic Formula gives us the roots of a quadratic equation from its coefficients. We can also obtain the coefficients from the roots. For example, find the roots of the equation \(x^{2}-9 x+20=0\) and show that the product of the roots is the constant term 20 and the sum of the roots is 9 , the negative of the coefficient of \(x\). Show that the same relationship between roots and coefficients holds for the following equations: $$\begin{aligned} &x^{2}-2 x-8=0\\\&x^{2}+4 x+2=0\end{aligned}$$ Use the Quadratic Formula to prove that in general, if the equation \(x^{2}+b x+c=0\) has roots \(r_{1}\) and \(r_{2},\) then \(c=r_{1} r_{2}\) and \(b=-\left(r_{1}+r_{2}\right)\)

Kiran drove from Tortula to Cactus, a distance of 250 mi. She increased her speed by \(10 \mathrm{mi} / \mathrm{h}\) for the 360 -mi trip from Cactus to Dry Junction. If the total trip took \(11 \mathrm{h}\), what was her speed from Tortula to Cactus?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.