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Chapter 1: Problem 36

Find the value of each expression. $$ 11 \cdot 4+10 \cdot 3 $$

Short Answer

Expert verified
74

Step by step solution

01

- Perform the multiplication for the first term

Multiply the first set of numbers: \(11 \times 4\) = 44
02

- Perform the multiplication for the second term

Multiply the second set of numbers: \(10 \times 3\) = 30
03

- Add the results

Add the results from both multiplications: 44 + 30
04

- Calculate the final sum

Adding the results gives: \(44 + 30 = 74\)

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Key Concepts

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

Multiplication
Multiplication is one of the primary arithmetic operations in mathematics. It involves combining equal groups of objects or numbers. When we multiply, we are basically adding a number a certain number of times.
For example, in the exercise, we see the multiplication operation twice:
  • 11 multiplied by 4: \[11 \cdot 4 = 44\]

  • 10 multiplied by 3: \[10 \cdot 3 = 30\]
In both cases, multiplication simplifies the repeated addition of numbers. By solving these steps, you get the products which are easy to handle in further calculations.
Addition
Addition is another fundamental arithmetic operation, where two or more numbers are combined to yield a single number known as the sum. After performing the multiplication in the exercise, we move onto the addition stage:
  • The first product from multiplication: 44

  • The second product from multiplication: 30

Now, adding these results together:
\[44 + 30 = 74\]
By combining the products through addition, we reach the final sum of 74. Addition allows us to merge quantities efficiently, leading to the solution of the problem.
Step-by-Step Solution
A step-by-step solution breaks down a problem into manageable parts, making it easier to understand and solve. Let's recap the steps involved in solving the given exercise:
  • Step 1: Perform the first multiplication. \[11 \cdot 4 = 44\]

  • Step 2: Perform the second multiplication. \[10 \cdot 3 = 30\]

  • Step 3: Add the products from the multiplication steps. \[44 + 30\]

  • Step 4: Calculate the final sum. \[44 + 30 = 74\]
Breaking down the problem into clear steps ensures that each part is understood before moving to the next. This incremental approach is highly beneficial for learning and mastering mathematical concepts.

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Most popular questions from this chapter

Perform each indicated operation. $$ 6-(-8+3) $$

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