/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 65 \(24.8 \mathrm{~mm}-1.19 \mathrm... [FREE SOLUTION] | 91Ó°ÊÓ

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\(24.8 \mathrm{~mm}-1.19 \mathrm{~cm}\)

Short Answer

Expert verified
12.9 mm

Step by step solution

01

Convert Units

The problem involves subtracting a length in centimeters from a length in millimeters, so we need to convert one of the units. Let's convert centimeters to millimeters. Since 1 cm equals 10 mm, multiply 1.19 cm by 10 to get 11.9 mm.
02

Subtract Millimeter Values

Now that both values are in millimeters, subtract the centimeter conversion from the original millimeter value: \(24.8 \text{ mm} - 11.9 \text{ mm}\).
03

Calculate the Difference

Perform the subtraction: \(24.8 - 11.9 = 12.9\). So, the result is 12.9 mm.

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Key Concepts

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

Subtraction
Subtraction is a basic arithmetic operation that involves finding the difference between two numbers. It is one of the four fundamental operations in mathematics. In subtraction, the number from which another number is to be subtracted is called the minuend, and the number to be subtracted is the subtrahend. Here, we start with a minuend of 24.8 (original millimeter value) and a subtrahend of 11.9 (converted centimeter value).

The process consists of iterating the following questions: 'How much more or less is one number compared to another?' and 'What remains when one quantity is taken away from another?'. To find the solution when working with millimeters and centimeters, it often involves an additional step of unit conversion before performing the arithmetic task.
Length Measurement
Length measurement is crucial for understanding the size of objects and the distance between them. It is a fundamental aspect of mathematics used in various fields, including science, engineering, and everyday life. Length can be measured using different units, such as meters, centimeters, or millimeters, depending on the context and required precision.

  • Length typically refers to the measurement of an object from one end to another.
  • Choosing the right unit is essential for accuracy in measurement.

Before performing operations such as subtraction on two measurements, ensuring that they are in the same unit is necessary to avoid errors and achieve a correct calculation result.
Millimeters
The millimeter (mm) is a metric unit of length commonly used to measure small distances or objects. It is one-thousandth of a meter, making it very convenient for precise measurements in science and engineering.

  • 1 mm = 0.1 cm or 0.001 meters.
  • Best for delicate and detailed work where accuracy is critical.

In contexts where lengths are given in different units, like our exercise, converting other units to millimeters before performing any calculations ensures uniformity and accuracy in mathematical operations like subtraction.
Centimeters
Centimeters (cm) are another metric unit of length and are larger than millimeters. One centimeter is equal to ten millimeters.

  • 1 cm = 10 mm or 0.01 meters.
  • Often used in everyday measurements.

In some math problems, like the one given, converting centimeters to millimeters simplifies processes involving lengths, especially when performing operations like subtraction. By converting to millimeters, we align both measurements under the same unit, making the mathematical operations straightforward and less prone to mistakes. This conversion step bridges different measurement scales, ensuring precise and reliable results.

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Most popular questions from this chapter

Determine whether the measurement in each statement is reasonable. A paper clip is 4 kilometers long.

Solve. Remember to insert units when writing your answers. $$ \begin{array}{|l|c|c|c|c|} \hline & \text { Meters } & \text { Millimeters } & \text { Kilometers } & \text { Centimeters } \\ \hline \text { Golf ball diameter } & & & &4.6 \\ \hline \end{array} $$

Convert as indicated. When necessary, round to the nearest tenth of a degree. \(80^{\circ} \mathrm{C}\) to degrees Fahrenheit

Write each decimal as a fraction and each fraction as a decimal. 0.86

There are a number of factors that determine the dimensions of a rectangular soccer field. Use the table below to answer $$\begin{array}{|l|c|c|} \hline & \text{ Soccer Field Width and Length } \\ \hline Age & \text{Width Min-Max} & \text{Length Min-Max} \\ \hline \text{Under } 6/7: & 15-20 \text{ yards} & 25-30 \text{ yards} \\ \hline \text{Under } 8: & 20-25 \text{ yards} & 30-40 \text{ yards} \\ \hline \text{Under } 9: & 30-35 \text{ yards} & 40-50 \text{ yards} \\ \hline \text{Under } 10: & 40-50 \text{ yards} & 60-70 \text{ yards} \\ \hline \text{Under } 11: & 40-50 \text{ yards} & 70-80 \text{ yards} \\ \hline \text{Under } 12: & 40-55 \text{ yards} & 100-105 \text{ yards} \\ \hline \text{Under } 13: & 50-60 \text{ yards} & 100-110 \text{ yards} \\ \hline \text{International}: & 70-80 \text{ yards} & 110-120 \text{ yards} \\ \hline \end{array}$$ a. Find the minimum length and width of a soccer field for 8-year-old children. (Carefully consider the age.) b. Find the perimeter of this field.

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