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Chapter 1: Problem 92

For each English sentence, write a mathematical expression and simplify. Divide 9 into 108.

Short Answer

Expert verified
12

Step by step solution

01

Understand the Problem

The given problem asks to divide 108 by 9 and then simplify the result.
02

Set up the Mathematical Expression

Write the expression for the problem. We need to divide 108 by 9, so the mathematical expression is \( 108 \div 9 \).
03

Perform the Division

Divide 108 by 9. The division can be performed as: \[ 108 \div 9 = 12 \]
04

Simplify the Result

The result of dividing 108 by 9 is a whole number without any remainder. Thus, the simplified result is 12.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mathematical Expressions
Mathematical expressions are a way to represent numbers and operations in a concise form. When you read a problem like 'Divide 9 into 108', you need to translate it into a mathematical expression.
This is done by identifying the numbers involved and the operation (division in this case).
The problem 'Divide 9 into 108' can be written as the mathematical expression: \(108 \div 9\). Writing expressions helps you easily see what calculations need to be done.
Remember, always write the larger number first when you're dividing.
Simplification
Simplification means making a mathematical expression as simple as possible. Once you have the expression \(108 \div 9\), the next step is to actually perform the division.
This simplifies to 12 because when you divide 108 by 9, you get 12.
Simplifying helps to make results more understandable and often solves the problem. In this case, the simplified answer is a whole number, which makes it very straightforward.
For division problems, ensure that your result cannot be simplified further. Here, 12 is already in its simplest form.
Whole Numbers
A whole number is a number without fractions; an integer. When you perform operations like division, it's helpful to know if your result is a whole number.
In the division \(108 \div 9\), the result is 12, which is a whole number. This means there are no fractions or decimals involved.
Understanding whole numbers can make division easier because you know there won't be any remaining parts. They are straightforward and easy to work with.
Always check if your result from any division is a whole number to ensure accuracy and simplicity in your answer.

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Most popular questions from this chapter

Jeannette has two children who each attended college in Boston. Her son Ricardo attended Bunker Hill Community College where the yearly tuition and fees came to \(\$ 2600 .\) Her daughter Ricki attended M.I.T. where the yearly tuition and fees totaled \(\$ 26,960 .\) If Jeannette paid the full amount for both children to go to school, what was her total expense for tuition and fees for 1 year?

Write the number in words. $$327$$

Write the number in words. $$52,160$$

Translate the inequality to words. $$14>12$$

Explain the process for checking a division problem when there is no remainder.
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