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Chapter 8: Problem 28

Complete. Do as much as possible mentally. 9.7 mm = ______cm

Short Answer

Expert verified
9.7 mm is 0.97 cm.

Step by step solution

01

- Understand the Units

The problem requires converting millimeters (mm) to centimeters (cm).
02

- Conversion Factor

Know that 1 cm = 10 mm. To convert from millimeters to centimeters, divide the number of millimeters by 10.
03

- Perform the Division

Divide 9.7 mm by 10: 9.7 mm / 10 = 0.97 cm

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Key Concepts

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

millimeters to centimeters
Unit conversion is a key skill in math, especially in sciences and everyday life. Here we are converting millimeters (mm) to centimeters (cm). These units both measure length, but centimeters are larger units than millimeters.

Understanding the relationship between different units helps in making these conversions simple and quick. Here, we're dealing with two metric units, making the conversion straightforward because the metric system is based on powers of ten. This means the conversion doesn't require complex calculations, just some basic knowledge and some simple math.

Now, let鈥檚 get a deeper understanding of how one can convert millimeters to centimeters seamlessly.
conversion factor
A conversion factor is a number used to change one set of units to another by multiplying or dividing. It鈥檚 like a bridge to help change from one scale to another.

In this specific example, to change millimeters to centimeters, you need to know the conversion factor between these two units. The magic number here is 10 because 1 centimeter equals 10 millimeters.

Here's the step-by-step process to perform this conversion:
  • Step 1: Identify the conversion factor. We know 1 cm = 10 mm.
  • Step 2: Express the relationship in mathematical terms. This is done by setting up a ratio. So,\[1 \text{ cm} = 10 \text{ mm}\].
  • Step 3: Rearrange to find a way to convert from mm to cm. To convert millimeters to centimeters, you divide the number of millimeters by the conversion factor (which is 10).
In our particular exercise, 9.7 mm can be converted into centimeters using this conversion factor, simply by dividing by 10.
division in mathematics
Division is one of the basic arithmetic operations where a number (the dividend) is divided by another number (the divisor) to get a result called the quotient.

When converting units using a conversion factor, you often need to use division. As explained earlier, we convert millimeters to centimeters by dividing by 10. Let鈥檚 break this part down with the provided example:
  • We start with the number 9.7 mm.
  • To convert 9.7 mm to centimeters, we need to divide 9.7 by our conversion factor, which is 10.
  • Doing the division:\[9.7 \text{ mm} \text{ divided by } 10 = 0.97 \text{ cm}\]
The quotient you obtain, 0.97 in this case, represents the measurement in centimeters. So, knowing how to perform division, in this case, is essential for accurate unit conversions.

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