Problem 604 - Prealgebra

Question

Translate each phrase to math notation and then simplify. The product of 9 and 15

Step-by-Step Solution

Answer

135

Step 1: Understand the Phrase

Identify the key components of the phrase 'The product of 9 and 15'. 'Product' indicates multiplication.

Step 2: Convert to Mathematical Notation

Translate the phrase 'The product of 9 and 15' to math notation: 9 × 15.

Step 3: Simplify the Expression

Calculate the product of 9 and 15: 9 × 15 = 135.

Key Concepts

product in math

In mathematics, the term 'product' refers to the result of multiplying two or more numbers together. When you see the word 'product' in a problem, it's a signal that you need to perform a multiplication calculation.

The product operation is one of the four basic operations in arithmetic, along with addition, subtraction, and division. Understanding the concept of a product is essential for solving many types of mathematical problems.

For example, when the problem states, 'The product of 9 and 15,' you should recognize that it requires you to multiply 9 by 15. The result, or product, of 9 and 15 is 135.

multiplication

Multiplication is one of the fundamental operations in arithmetic. It combines two numbers into a single product. The numbers being multiplied are called 'factors'.

Imagine you have 9 groups of 15 items each. To find the total number of items, you multiply 9 by 15. This process of combining equal groups is what multiplication is all about.

Here's what happens when you multiply:

• You align the values of the factors.
• You multiply each digit of one factor with each digit of the other factor.
• You add up all the resulting products.

In our example, multiplying 9 by 15 gives us:

9 × 15 = 135.

simplifying expressions

Simplifying expressions means making a mathematical expression as simple as possible. This often involves performing the arithmetic operations involved, like addition, subtraction, multiplication, or division.

When simplifying a multiplication expression such as 'The product of 9 and 15,' your primary task is to perform the multiplication operation to get a single number.

Let's break it down further:

• First, identify the operation (in this case, multiplication).
• Next, perform the operation on the given numbers.
• The result is a single, simplified expression.

For our example:
Start with the expression: 9 × 15.
Perform the multiplication: 9 × 15 = 135.
This gives us the simplified expression: 135.