Problem 56 Simplify. $$ 10 \cdot 20-15 ... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 10: Problem 56

Simplify. $$ 10 \cdot 20-15 \cdot 24 $$

Short Answer

Expert verified

-160

Step by step solution

- Perform Multiplication

Calculate the products in the expression. First, compute the product of 10 and 20, and then compute the product of 15 and 24. $10 \times 20 = 200$ $15 \times 24 = 360$

- Perform Subtraction

Subtract the second product from the first product. $200 - 360 = -160$

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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 core arithmetic operations, and it involves finding the product of two numbers. In our problem, we need to multiply two pairs of numbers: 10 and 20, and 15 and 24.

Here are the steps for multiplication:

First, take the two numbers you want to multiply.
Multiply the numbers directly to get their product.

For example, when multiplying 10 by 20, you get:
\[10 \times 20 = 200\]\
Similarly, when multiplying 15 by 24, you get:
\[15 \times 24 = 360\].
Understanding how to multiply these numbers is crucial because it helps simplify complex expressions.

Subtraction

Subtraction is another fundamental arithmetic operation where you find the difference between two numbers. In our simplified expression, we need to subtract the product of 15 and 24 from the product of 10 and 20.

Here's how to do subtraction:

Take the two numbers you're working with; the first is the minuend (from which you subtract), and the second is the subtrahend (the amount to subtract).
Subtract the second number from the first number to get the result.

In our example, we have:
\[200 - 360 = -160\]
This means when you subtract 360 from 200, you end up with -160.
Subtraction is essential for solving many math problems where you need to find the difference between values.

Arithmetic Operations

Arithmetic operations include addition, subtraction, multiplication, and division. They are the building blocks of math.

For our problem, we used multiplication and subtraction:

Multiplication: Combines numbers to form a product. Example: \[10 \times 20 = 200\] and \[15 \times 24 = 360\]
Subtraction: Finds the difference between numbers. Example: \[200 - 360 = -160\]

These operations combined help us simplify expressions. By breaking down complex problems into basic arithmetic steps, they become easier to handle.
Sound knowledge of these operations ensures you can solve, simplify, and understand various mathematical problems effectively.

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91影视

Simplify. $$ 10 \cdot 20-15 \cdot 24 $$

Short Answer

Step by step solution

- Perform Multiplication

- Perform Subtraction

Key Concepts

Multiplication

Subtraction

Arithmetic Operations

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