Problem 358 Model the division $$16 \div 4... [FREE SOLUTION]

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Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 1: Problem 358

Model the division $$16 \div 4$$

Short Answer

Expert verified

16 \div 4 = 4

Step by step solution

Identify the Dividend and the Divisor

In the expression $16 \div 4$, the number to be divided (16) is called the dividend, and the number by which we divide (4) is called the divisor.

Set Up the Division

Write the division expression as a fraction. This can be written as \[ \frac{16}{4} \].

Perform the Division

Divide the dividend by the divisor. Calculate \[ \frac{16}{4} = 4 \].

Verify the Result

Multiply the result by the divisor to check your work: \[ 4 \times 4 = 16 \]. Since the product equals the original dividend, the division is correct.

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Key Concepts

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

Dividend and Divisor

In division, two important terms are the dividend and the divisor. The dividend is the number you want to divide up, and the divisor is the number you are dividing by. For example, in the division problem 16 梅 4, the dividend is 16 and the divisor is 4. This helps establish what you are working with.

Imagine you have 16 apples and you want to split them into groups of 4. The 16 apples are your dividend, and the number 4, the group size, is your divisor.

Understanding these terms will make solving division problems, like 16 梅 4, straightforward, as you can easily identify what you are starting with and how it needs to be divided.

Fraction Representation

A great way to think about division is by using fraction representation. When you divide 16 by 4, you can write this division as a fraction: \[ \frac{16}{4} \]. This fraction means you are splitting 16 into 4 equal parts.

Writing division problems as fractions helps visualize what鈥檚 happening. For instance, \[ \frac{16}{4} \] asks how many times 4 fits into 16.

It鈥檚 a simple yet powerful way to break down the problem. By rewriting the division this way, you can often see the solution more clearly. For example, \[ \frac{16}{4} = 4 \]. This shows that 4 fits into 16 exactly 4 times.

Verify the Division Result

Verification is crucial in math to ensure your solution is correct. After finding \[ 16 \div \ 4 = 4 \], it's important to check your work.

Multiply the quotient (4) by the divisor (4) as follows: \[ 4 \times\ 4 = 16 \].

If the product matches the original dividend (16), the division was performed correctly.

This step confirms that you didn't make any mistakes. It's always good practice to verify, especially when you are learning. Making verification a habit helps build a solid foundation in math.

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91影视

Model the division $$16 \div 4$$

Short Answer

Step by step solution

Identify the Dividend and the Divisor

Set Up the Division

Perform the Division

Verify the Result

Key Concepts

Dividend and Divisor

Fraction Representation

Verify the Division Result

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