/*! 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 42 Divide. $$ \frac{591.348}{10... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 42

Divide. $$ \frac{591.348}{100} $$

Short Answer

Expert verified
5.91348

Step by step solution

01

- Understand the Problem

The problem requires dividing the number 591.348 by 100.
02

- Use Decimal Division Rules

To divide a decimal by 100, shift the decimal point two places to the left. So, move the decimal in 591.348 two places left.
03

- Shift the Decimal

Starting with 591.348, move the decimal two places to the left to get 5.91348.
04

- Write the Result

After shifting the decimal point, the result is 5.91348.

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.

divide decimals
Dividing decimals may seem tricky at first, but it's straightforward once you understand the steps. In our example, we want to divide 591.348 by 100.

When dividing two numbers, it's important to understand the basic rules of arithmetic that apply to both whole numbers and decimals. Decimal division, in particular, involves a special rule for shifting the decimal point, which we will cover later.

To start, we treat the division process as we would with whole numbers, but keep an eye on the decimal point's position, which plays a crucial role.
decimal point shifting
Decimal point shifting is a handy trick in decimal division. The rule is simple: to divide a number by 10, 100, 1000, etc., we shift the decimal point to the left as many places as there are zeros in the divisor.

For instance, in our exercise, we divide 591.348 by 100. Since 100 has two zeros, we shift the decimal point two places to the left.

Here's how you do it:
  • Start with the number 591.348.
  • Move the decimal point two places to the left.
  • This turns 591.348 into 5.91348.

And that's it! You've used decimal point shifting to divide the number.
basic arithmetic operations
Basic arithmetic operations include addition, subtraction, multiplication, and division. Mastery of these operations is essential for solving more complex math problems. Let's focus on division, as seen in the exercise.

When dividing decimals, remember these key points:
  • Understanding the problem is the first step.
  • Apply the rules of decimal division, like shifting the decimal point.
  • Write down each step clearly to avoid mistakes.

In our example, 591.348 divided by 100 led to shifting the decimal point for a result of 5.91348. Always recheck your steps to ensure accuracy.

Practice these steps often, and you'll find decimal division much easier!

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

Normal body temperature is \(98.6^{\circ} \mathrm{F}\). A baby's bath water should be \(100^{\circ} \mathrm{F}\). How many degrees above normal body temperature is this?

Find decimal notation for \(\frac{1}{7}, \frac{2}{7}, \frac{3}{7}, \frac{4}{7},\) and \(\frac{5}{7} .\) Observe the pattern and guess the decimal notation for \(\frac{6}{7}\).

Estimate. Indicate which of the choices is an appropriate estimate. \(98.4 \times 0.083\) a) 80 b) 12 c) 8 d) 0.8

A construction worker is paid \(\$ 18.50\) per hour for the first \(40 \mathrm{hr}\) of work, and time and a half, or \(\$ 27.75\) per hour, for any overtime exceeding 40 hr per week. One week she works 46 hr. How much is her pay?

Add. $$ 17+3.24+0.256+0.3689 $$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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.