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Chapter 1: Problem 289

In the following exercises, translate and simplify. the product of 18 and 33

Short Answer

Expert verified
594

Step by step solution

01

- Understand the terms

Identify the key terms in the problem. 'Product' means the result of multiplying two numbers. The numbers to multiply are 18 and 33.
02

- Set up the multiplication

Write the multiplication operation for the two numbers. This problem translates to the expression: 18 * 33.
03

- Perform the multiplication

Multiply the numbers together. Using the standard multiplication method:\[ 18 \times 33 = 594 \]
04

- Simplify the result

Since the result is a single number, there is no further simplification needed. The final answer is 594.

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Key Concepts

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

Understanding the Product
To fully grasp the concept of a 'product', let's break it down.
In mathematics, the product is the result you get when you multiply two or more numbers.
In our exercise, the task is to find the product of 18 and 33.
So, when we see the word 'product', we immediately know that multiplication is involved.
Think of the product as the answer to a multiplication question.
Multiplication Operation
The multiplication operation is a basic arithmetic function.
It involves combining equal groups of numbers.
Here's how we perform the multiplication for our exercise:
Write the expression using the multiplication symbol: 18 * 33.
To multiply these, you can use the standard long multiplication method. For example:
Multiply 18 by 3 (units place in 33) to get 54.
Write down the 4 and carry over the 5.
Next, multiply 18 by 3 again (tens place in 33) and add the 5 you carried over to get 59.
Thus, you'll get 594 as the final result.
Simplification and the Final Result
Simplification means making the result as straightforward as possible.
For this exercise, after multiplying 18 and 33, we get 594.
Since 594 is already a single whole number, there's no further simplification needed.
To double-check, you can break 33 into 30 + 3 and then:
Multiply 18 by 30 to get 540.
Multiply 18 by 3 to get 54.
Finally, add the two products: 540 + 54 = 594.
This confirms our earlier result.
So, our simple, final answer is 594.

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