/*! 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 46 \(8.04 \div 10\)... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 46

\(8.04 \div 10\)

Short Answer

Expert verified
0.804

Step by step solution

01

Understand the Problem

The problem requires dividing 8.04 by 10. This operation can also be thought of as shifting the decimal point one place to the left.
02

Apply the Division Rule

When dividing a number by 10, move the decimal point in the number one place to the left. In this case, moving the decimal point in 8.04 one place to the left results in 0.804.
03

Write the Result

After moving the decimal point one place to the left, the resulting number is 0.804.

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.

decimal shifting
When dealing with decimals in arithmetic, shifting the decimal point is a simple yet powerful tool. Shifting the decimal point changes the value of the number. For example, shifting the decimal in 8.04 to the left by one place converts it to 0.804. Effectively, this action makes the number smaller. This technique is often used when dividing by powers of 10, such as 10, 100, or 1000. Remember:
  • Shift left when dividing.
  • Shift right when multiplying.
Practicing this concept will help you handle decimal numbers more confidently.
division by 10
Dividing by 10 is about moving the decimal point one place to the left. Think of it like this: the number is being made ten times smaller with each move to the left. For instance, the number 8.04 divided by 10 leads to 0.804. This approach is efficient for quick calculations without needing long division. A few more examples include:
  • 42 becomes 4.2
  • 100 becomes 10.0
  • 5.6 becomes 0.56
Practicing with various numbers will strengthen your understanding.
basic arithmetic operations
Mastering basic arithmetic operations lays the foundation for higher-level math. Division, being one of these operations, is crucial for understanding ratios, fractions, and proportions. Breaking down division:
  • Addition involves combining numbers.
  • Subtraction finds the difference between numbers.
  • Multiplication involves repeated addition.
  • Division splits a number into equal parts.
For example, understanding that dividing by 10 is as simple as shifting a decimal point helps demystify operations involving larger numbers. A solid grasp on basics like these makes advanced concepts easier to tackle.

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

Find each product or quotient, and write it in lowest terms as needed. $$ \frac{2}{5} \div 30 $$

Write each improper fraction as a mixed number. $$ \frac{83}{11} $$

Find each product or quotient, and write it in lowest terms as needed. $$ 3 \frac{1}{4} \cdot 1 \frac{2}{3} $$

Write each fraction in lowest terms. $$ \frac{16}{64} $$

Find each product or quotient, and write it in lowest terms as needed. $$ 21 \cdot \frac{3}{7} $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

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.