Problem 44 - Elementary and Intermediate Algebra

Question

Simplify. $$ 112 \div 28-112 \div 28 $$

Step-by-Step Solution

Answer

0

Step 1 - Perform Division

First, perform the division of each term. Calculate 112 divided by 28. So, 112 div 28 equals 4

Step 2 - Subtract the Results

Now, subtract the results found in Step 1. 4 - 4 = 0

Key Concepts

Division

In algebra, division is a crucial operation that splits a number into equal parts. Here, we start by dividing 112 by 28.

To do this, you can think of division as finding out how many times 28 fits into 112.

Simple long division or mental math can show that 28 goes into 112 exactly 4 times.

Always solve any division operations before moving on to other arithmetic operations like addition or subtraction.

Hence, the first part of the exercise simplifies 112 ÷ 28 to 4.

Subtraction

Next, we perform the subtraction operation.

Subtraction means taking away one quantity from another. Once the division has been resolved into the number 4, we must subtract like terms.

In this problem, the terms are identical: 4 and 4.

Understanding that any number minus itself equals zero is essential.

Hence, 4 - 4 simplifies to 0. This step emphasizes the importance of confirming each element of arithmetic is handled correctly before finalizing the solution.

Step-by-Step Solution

Breaking down equations into smaller, manageable parts is essential in algebra.

For the given exercise, the steps were straightforward but important to do sequentially.

Start with division: divide both instances of 112 by 28. Then, proceed with subtraction: subtract the results of your division.

Step-by-step solving of problems helps ensure that each part of the equation is handled properly.

This methodical approach reduces errors and builds a stronger understanding of mathematical concepts.