/*! 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 567 Divide. Then check by multiplyin... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 567

Divide. Then check by multiplying. $$\frac{97}{1}$$

Short Answer

Expert verified
97. Verified by 97 times 1 equals 97.

Step by step solution

01

- Understand the Problem

You are asked to divide 97 by 1. The mathematical expression for this is \(\frac{97}{1}\).
02

- Perform the Division

Divide the number 97 by 1. Using the division rule, any number divided by 1 equals the number itself. So, \(\frac{97}{1} = 97\).
03

- Check by Multiplying

To verify our division, multiply the result by 1 to see if you get the original number back. So, 97 multiplied by 1 is \(97 \times 1 = 97\). Since this is true, our division is correct.

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.

Division Rule
Division is a fundamental arithmetic operation where you split a number into equal parts. A key rule to remember is that any number divided by 1 remains the same. For example, \(\frac{97}{1} = 97\). This is because you are essentially asking how many times 1 fits into 97, which is exactly 97 times. This property makes calculations straightforward and helps simplify complex problems by reducing them to basic terms.
Dividing by 1 is a special case and can be a helpful trick to double-check your work or make mental calculations easier.
Multiplication Check
After performing a division, it is always wise to verify your result with a multiplication check. This ensures your answer is accurate. Given \(\frac{97}{1} = 97\), to check if this is correct, you multiply the result by the divisor (1 in this case), aiming to get back to the original number.
Here's the check: \[ 97 \times 1 = 97 \]
If the multiplication result matches the original number, your division is correct. Multiplying serves as a reverse process to division, allowing for effective verification.
Basic Arithmetic
Basic arithmetic includes foundational operations such as addition, subtraction, multiplication, and division. These operations are like the building blocks of math. Understanding and mastering them is crucial for tackling more advanced mathematical concepts.
In the given exercise, we see an example of basic division and multiplication, which are two of these core operations. By practicing and getting familiar with these types of problems, you enhance your ability to solve various mathematical tasks. Remember: repetition and practice strengthen your arithmetic skills.
  • Division splits a number into equal parts.
  • Multiplication combines equal parts to form a whole.
Regularly practicing these operations helps improve accuracy and speed.

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

Clayton walked 12 blocks to his mother鈥檚 house, 6 blocks to the gym, and 9 blocks to the grocery store before walking the last 3 blocks home. What was the total number of blocks that Clayton walked?

Subtract and then check by adding. $$46-21$$

Test scores A students needs a total of 400 points on five tests to pass a course. The student scored 82, 91, 75, 88, and 70. Did the student pass the course?

Multiply. $$162 \times 493$$

Translate and simplify. Ninety-four times thirty-three
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

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.