/*! 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 33 \(78.65 \div 11\)... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 33

\(78.65 \div 11\)

Short Answer

Expert verified
7.15

Step by step solution

01

- Setup Division

Write down the division problem as a fraction: \[ \frac{78.65}{11} \] Move the decimal point two places to the right in both the numerator and the denominator to simplify division.
02

- Simplify the Expression

After shifting the decimal points, the expression becomes: \[ \frac{7865}{1100} \] This simplifies the calculation.
03

- Simplify the Division

Perform the division: \[ \frac{7865}{1100} = 7.15 \] Therefore, 78.65 divided by 11 equals 7.15.

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.

simplifying fractions
Converting a division problem into a fraction is a great first step to take. In the exercise of dividing 78.65 by 11, we start by writing it as the fraction: \( \frac{78.65}{11} \). This fraction form allows us to see the relationship between the dividend (78.65) and the divisor (11).

Simplifying fractions makes large or complex numbers easier to handle. It involves reducing the fraction to its smallest form, ensuring that the numerator and the denominator have no common factors other than 1. In our example, shifting the decimal point helps us simplify the division without physically changing the value of the numbers.
decimal point adjustment
Adjusting the decimal point is a critical step in dealing with decimals during division problems. By moving the decimal point two places to the right, both the numerator and the denominator are turned into whole numbers. This gives us the fraction: \( \frac{7865}{1100} \).

Moving the decimal in both numbers ensures that their relative value remains the same. For instance, 78.65 and 7865 still have the same ratio to each other after adjusting the decimal point to form the numbers 11 and 1100, respectively. This makes it easier to perform long division without confusing decimal calculations.
long division
Long division is a straightforward method to divide numbers, especially when dealing with large numbers. After adjusting the decimal points and forming the fraction \( \frac{7865}{1100} \), we perform long division.

In long division, divide the numerator (7865) by the denominator (1100) step by step. By doing so, we find that 7865 divided by 1100 equals 7.15.

This final answer means that when you divide 78.65 by 11, you get 7.15. Breaking down this process helps ensure clarity and accuracy in the calculation, making division with decimals much simpler.

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. $$ 2 \frac{2}{9} \div 1 \frac{2}{5} $$

Find each sum or difference, and write it in lowest terms as needed. $$ 3 \frac{1}{4}+1 \frac{4}{5} $$

A laptop computer with a regular price of \(\$ 597\) is on sale at \(20 \%\) off. Find the amount of the discount and the sale price of the computer.

Paul's favorite recipe for barbecue sauce calls for \(2 \frac{1}{3}\) cups of tomato sauce. The recipe makes enough barbecue sauce to serve seven people. How much tomato sauce is needed for one serving?

Find each product or quotient, and write it in lowest terms as needed. $$ \frac{7}{9} \div \frac{3}{2} $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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.