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Chapter 9: Problem 79

Perform the indicated operations. \(6 \cdot 4+5 \div 1\)

Short Answer

Expert verified
The result is 29.

Step by step solution

01

Multiplication

First, perform the multiplication operation. Multiply the numbers 6 and 4. \[ 6 imes 4 = 24 \]
02

Division

Next, perform the division operation. Divide the number 5 by 1. \[ 5 \div 1 = 5 \]
03

Addition

Finally, add the results of the previous calculations together. Add 24 (from the multiplication) and 5 (from the division). \[ 24 + 5 = 29 \]

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Key Concepts

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

Multiplication
Multiplication is a fundamental arithmetic operation that involves finding the product of two numbers. It is one of the four basic operations in mathematics. When you multiply, you are essentially adding a number to itself a certain number of times. For example, in the problem given, we multiply 6 by 4, which means we add 6 to itself 4 times.
  • The equation form would look like this: 6 + 6 + 6 + 6, which simplifies to 24, the same number you obtain when calculating 6 \( \times \) 4.
  • This process of repeated addition is what makes multiplication a reliable and quick way to handle larger numbers effortlessly.
Multiplication is important in real-world scenarios such as calculating areas, determining quantities in bulk, and more. It's a skill that enhances both basic arithmetic understanding and efficiency when handling numbers.
Division
Division is another essential arithmetic operation that is often regarded as the opposite of multiplication. It involves splitting a quantity into equal parts or groups. In the problem solved, the division operation meant dividing 5 by 1.
  • The calculation 5 \( \div \) 1 gives us 5. This happens because any number divided by 1 stays the same. You are essentially creating one group of that number, so no actual splitting is necessary.
  • Division allows us to determine how many times one number fits into another, or how something can be divided evenly amongst a certain number of parts.
Understanding division is crucial when sharing resources or splitting amounts evenly, whether it's dividing a pizza among friends or figuring out how to split a sum of money.
Addition
Addition is one of the simplest arithmetic operations and the foundation for more complex calculations. It involves combining two or more numbers into a single sum. In the given problem, once the multiplication and division were done, the results (24 and 5) were added together.
  • The equation 24 + 5 results in 29. This sum combines the outcome from multiplication and division.
  • Addition helps us quantify increases, combine values, and understand cumulative totals in various contexts.
It's important in everyday activities, from adding up costs at a grocery store to scoring in a game. Mastering addition is key to ensuring valid and reliable results in mathematical operations.

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