Problem 15 Write the product of 5 and \(12,... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 1: Problem 15

Write the product of 5 and $12,$ using three different notations. (Answers may vary.)

Short Answer

Expert verified

5 脳 12, 5(12), and 5 路 12

Step by step solution

- Product using multiplication symbol

Write the product of 5 and 12 using the standard multiplication symbol (脳). This notation looks like: 5 脳 12

- Using parentheses for multiplication

Another common notation for multiplication is by placing one number directly before the parentheses enclosing the other number. Hence, you can write it as: 5(12)

- Using the dot notation for multiplication

A dot (路) can also signify multiplication. So you can write the product of 5 and 12 with a dot: 5 路 12

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Key Concepts

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

multiplication symbols

In mathematics, the multiplication symbol is a basic yet very important concept. The most commonly used symbol for multiplication is the $ \times $ symbol. When two numbers are multiplied together, this symbol indicates that they should be combined to get a product. For example, in the problem above, we write 5 $ \times $ 12 to find the product of 5 and 12. This notation is widely recognized and used in textbooks, exams, and everyday math problems. Understanding this symbol is crucial as it acts as a foundation for more advanced operations in mathematics.

parentheses notation

Another way to write products in mathematics is by using parentheses. This approach involves placing one number directly before another that is enclosed in parentheses. For example, writing the product of 5 and 12 as 5(12). This notation is particularly useful in algebra and higher math, where it helps to simplify expressions by reducing the number of symbols used. Parentheses can also help to make equations clearer by indicating which operations should be performed first in more complex calculations.

dot notation

The dot notation is another method for indicating multiplication. A dot placed between two numbers signifies that they should be multiplied together. For instance, 5 $ \cdot $ 12 means to multiply 5 and 12. This notation is often used in algebra and calculus, and it helps to avoid confusion with the letter 'x,' which is commonly used as a variable. Understanding dot notation is important as it is frequently used in more advanced math and scientific fields.

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91影视

Write the product of 5 and \(12,\) using three different notations. (Answers may vary.)

Short Answer

Step by step solution

- Product using multiplication symbol

- Using parentheses for multiplication

- Using the dot notation for multiplication

Key Concepts

multiplication symbols

parentheses notation

dot notation

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