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Division is a fundamental mathematical operation. It helps us understand how many times one number is contained within another. When you divide, you are essentially distributing a number into equal parts. In the exercise, we need to divide the larger number by the smaller number to find the unit rate. For example, dividing 136 by 8, \[ \frac{136}{8} = 17 \]results in 17, meaning that the number 8 fits into 136 exactly 17 times.
Division answers the question of "how many times one number goes into another". It is a core part of understanding unit rates and ratios. When performing division, it is crucial to know which number is being divided (dividend) and by which number it is being divided (divisor). The result of division is called the quotient.

Rounding is a technique used to simplify numbers to make them easier to work with. When you round a number, you are finding the nearest approximate value that has fewer non-zero digits. For instance, numbers can be rounded to the nearest whole number, tenth, hundredth, etc.
In this particular exercise, the result of division was 17. Since 17 is already a whole number, there was no need to round to the nearest hundredth. However, if the result had been something like 17.345, we would round it to 17.35 if rounding to the nearest hundredth.

• Look at the digit immediately after the place value you are rounding to.
• If it's 5 or more, you round up.
• If it's less than 5, you round down.

This step is crucial in providing a simple and more understandable result, especially when dealing with real-world applications.

A ratio is a way to compare two quantities by showing the relative size of one quantity to another. It is often expressed as "a to b" or \( \frac{a}{b} \). In the exercise, the ratio given is 8 to 136.
Ratios help understand the proportion between numbers, which is extremely helpful in solving various practical and mathematical problems. To interpret this ratio in terms of a unit rate, we calculated how many times 8 fits into 136. Understanding ratios helps us make sense of the relationship between numbers. It allows us to

• compare different quantities
• understand distributions
• determine proportions
• find unit rates efficiently

Ratios are everywhere, from cooking recipes to financial analyses, highlighting the breadth of their application. Recognizing this, it is clear that ratios and their unit rates are invaluable tools in both everyday life and complex problem-solving.