What Does 128 Divided By 8 Show Work Mean?
Understanding Division
Division is a fundamental mathematical operation that involves the splitting of a number into equal parts or groups. It is the opposite of multiplication and is used to find out how many times one number can be divided by another. When we divide a number, we can obtain the quotient, which is the result or the answer to the division problem.
128 Divided By 8
When we talk about “128 divided by 8,” we are essentially looking for the number of times 8 can be subtracted from 128. In other words, we are trying to find out how many groups of 8 can be formed from 128.
The division operation is commonly represented using the division symbol “÷” or a forward slash “/”. Therefore, we can express “128 divided by 8” as 128 ÷ 8.
Show Work
Showing work in division means demonstrating the step-by-step process used to obtain the quotient. It helps in understanding the calculation and provides a clear explanation of how the division was done.
When we divide 128 by 8, there are various methods to show the work. One common method is to use long division. Let’s take a look at how it is done:
16
_______
8 | 128
– 8
_______
48
– 48
_______
0
In the above example, we start by dividing the first digit of the dividend (128) by the divisor (8). The result is 16, which is placed above the line. We then multiply the divisor (8) by the quotient (16) to obtain 128. Subtracting this result from the dividend gives us a remainder of 0. Therefore, 128 divided by 8 equals 16.
Another method to show work is using a division table or grid. In this method, we divide the dividend into equal groups until we reach zero.
Significance of Showing Work
Showing work in mathematics is crucial for several reasons. Firstly, it provides a visual representation of the steps involved in the calculation, making it easier for others to follow and understand the process. It also allows for easier identification of errors, as each step can be reviewed and checked for accuracy.
Additionally, showing work promotes logical thinking and problem-solving skills. It encourages students to break down complex problems into simpler steps, fostering a deeper understanding of the mathematical concepts involved.
Furthermore, showing work helps in building a foundation for more advanced mathematical concepts. Division is a fundamental operation that is used in various mathematical fields, such as algebra, calculus, and physics. By understanding and mastering division, students can progress to more complex mathematical topics with confidence.
In conclusion, “128 divided by 8 show work” refers to the need to demonstrate the step-by-step process of dividing 128 by 8 and obtaining the quotient. Showing work not only enhances comprehension of the calculation but also helps in error identification and the development of problem-solving skills.
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