Problem 376 Divide. Then check by multiplyin... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 1: Problem 376

Divide. Then check by multiplying. $$\frac{29}{1}$$

Short Answer

Expert verified

Step by step solution

Identify the Division

Understand that you need to divide 29 by 1. In mathematical terms, this can be written as $ \frac{29}{1} $.

Perform the Division

Divide 29 by 1. Since any number divided by 1 is the number itself, $ \frac{29}{1} = 29 $.

Verify by Multiplication

To check our division, we multiply the result by the divisor. Multiply 29 (the quotient) by 1 (the divisor): $ 29 \times 1 = 29 $. The result matches the original number, verifying our division.

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 steps

When learning how to divide, breaking the process down into simple steps can make it much less daunting.
Here are the key steps you need to follow to perform basic division:

First, identify the numbers involved. In our example, the problem is written as $ \frac{29}{1} $.
The number 29 is the dividend (the number being divided). The number 1 is the divisor (the number you are dividing by).

Next, perform the division. Since dividing by 1 doesn鈥檛 change a number's value, you quickly determine that $ \frac{29}{1} = 29 $.
In essence, any number divided by 1 remains the same. Practice this concept with various numbers to reinforce your understanding.

verification by multiplication

After performing division, verifying your answer can give you confidence that you performed the steps correctly.
Verification typically involves multiplication.

In our example, we calculated $ \frac{29}{1} = 29 $.
To verify, take the quotient (29) and multiply it by the divisor (1): $ 29 \times 1 = 29 $.
The resulting product is the same as the original dividend, confirming that our division was accurate.

This approach works for all division problems, so always remember to multiply your quotient by the divisor.
If your product equals your original dividend, your division is correct!

division by 1

Dividing a number by 1 is one of the simplest arithmetic operations.
When you divide any number by 1, the result is always the number itself.
This is because 1 is the multiplicative identity, which means multiplying (or dividing) any number by 1 results in that number.

In the given exercise, we divided 29 by 1. Mathematically, this is shown as $ \frac{29}{1} = 29 $.
The concept remains the same regardless of the number: $ \frac{n}{1} = n $, where $ n $ is any number.
Practicing this with different values helps reinforce the simplicity and reliability of this type of division.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Divide. Then check by multiplying. $$\frac{29}{1}$$

Short Answer

Step by step solution

Identify the Division

Perform the Division

Verify by Multiplication

Key Concepts

division steps

verification by multiplication

division by 1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Statistics

Pure Maths

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.