Problem 25 $25-32 \div 4$... [FREE SOLUTION]

91影视

Elementary Algebra Within Reach

Ron Larson, Kimberly Nolting

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 1: Problem 25

$25-32 \div 4$

Short Answer

Expert verified

The answer to the problem $25-32 \div 4$ is 17.

Step by step solution

Division First

Begin by carrying out the division operation first, as dictated by the BIDMAS/BODMAS rule. So, divide 32 by 4, which equals 8.

Subtraction Next

Now, subtract this result (8) from 25. So, we perform the operation $25 - 8$ which gives a result of 17.

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Key Concepts

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

BIDMAS/BODMAS

When approaching mathematical expressions, it's crucial to understand the order of operations, commonly remembered by the acronym BIDMAS/BODMAS. This stands for:

Brackets
Indices (or Orders, which include powers and roots)
Division and Multiplication (from left to right)
Addition and Subtraction (from left to right)

Understanding this order helps in solving expressions correctly and avoiding mistakes. For example, in the exercise $25 - 32 \div 4$, BIDMAS/BODMAS tells us we must perform the division before the subtraction. So, rather than subtracting 32 first, you divide 32 by 4.

Division

Division is one of the basic arithmetic operations that involves splitting a number into equal parts. In the context of the given exercise, division takes precedence over subtraction due to the BIDMAS/BODMAS rule. To solve $32 \div 4$, think of how many times 4 fits into 32. The answer is 8, because 4 multiplied by 8 equals 32. So, the expression begins as 25 - 8 once the division is completed. Understanding division deeply, including its role and priority in operations, is essential in many arithmetic problems.

Subtraction

Subtraction is another fundamental operation, allowing us to find the difference between numbers. After handling division, you proceed with subtraction in the expression $25 - 8$. Subtraction is straightforward: you simply take away the second number from the first. In this case, subtracting 8 from 25 results in 17. Always ensure to perform subtraction as stated in the order of operations, after any divisions or multiplications are completed.

Mathematical Expressions

Mathematical expressions consist of numbers and operation signs, like those you see in $25 - 32 \div 4$. These expressions must be solved following specific rules to reach the correct answer. Expressions can include a variety of operations and brackets, thus understanding how to simplify them correctly is vital. When simplifying:

Identify operations per BIDMAS/BODMAS.
Solve step-by-step maintaining the problem structure.
Check each operation to ensure consistency and correctness.

By blending a clear understanding of division, subtraction, and other operations, you can confidently tackle mathematical expressions.

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91影视

\(25-32 \div 4\)

Short Answer

Step by step solution

Division First

Subtraction Next

Key Concepts

BIDMAS/BODMAS

Division

Subtraction

Mathematical Expressions

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