Problem 32 Simplify. $$ 10 \cdot 5+1 \c... [FREE SOLUTION]

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Chapter 1: Problem 32

Simplify. $$ 10 \cdot 5+1 \cdot 1 $$

Short Answer

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Step by step solution

Multiply 10 and 5

Perform the multiplication of the first two numbers. Multiply 10 by 5 to get 50. $10 \times 5 = 50$

Multiply 1 and 1

Perform the multiplication of the last two numbers. Multiply 1 by 1 to get 1. $1 \times 1 = 1$

Add the Results

Add the results from Step 1 and Step 2 together. $50 + 1 = 51$

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Key Concepts

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

Multiplication

In algebra, multiplication is combining two numbers to get a product. We use the multiplication sign ($\times$) or sometimes a dot ($\cdot$).
In the given problem, there are two multiplication steps:
* First, we multiply 10 by 5. This is pretty straightforward. We take 10, and add it to itself five times: $10 \times 5 = 50$.
* Next, we have a smaller multiplication: 1 times 1. This means adding 1 to itself once, which returns 1: $1 \times 1 = 1$.
Practicing these simple multiplications is important. It builds the foundation for more complex algebraic manipulations later on.

Addition

Addition is the process of combining two or more numbers to get a sum. It's denoted by the plus sign ($+$).
In our problem, once the multiplications are done, we need to add the results: the product of 10 and 5, which is 50, and the product of 1 and 1, which is 1.
Mathematically, it looks like this: $50 + 1 = 51$.
Addition might seem simple, but it鈥檚 important to get comfortable with it. Adding numbers correctly is crucial, especially when combining results from earlier multiplicative steps.

Order of Operations

The order of operations in mathematics (PEMDAS/BODMAS) tells us the correct sequence to evaluate a mathematical expression.
Here's the breakdown:

P/B: Parentheses/Brackets first.
E/O: Exponents/Orders (squares, cubes, etc.).
MD/DM: Multiplication and Division (left to right).
AS: Addition and Subtraction (left to right).

For our problem, we first do the multiplications because they come before addition in the order of operations. Here it is step-by-step:
1. Multiply 10 by 5: $10 \times 5 = 50$.
2. Multiply 1 by 1: $1 \times 1 = 1$.
3. Lastly, add the results: $50 + 1 = 51$.
Always follow these rules to ensure correct outcomes in algebra.

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91影视

Simplify. $$ 10 \cdot 5+1 \cdot 1 $$

Short Answer

Step by step solution

Multiply 10 and 5

Multiply 1 and 1

Add the Results

Key Concepts

Multiplication

Addition

Order of Operations

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