Problem 25 Evaluate. $$ 15^{2} $$... [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 9: Problem 25

Evaluate. $$ 15^{2} $$

Short Answer

Expert verified

225

Step by step solution

Understand the Problem

The goal is to evaluate the expression given, which is to find the value of $15^{2}$.

Recall the Squaring Rule

When you square a number, you multiply the number by itself. Squaring 15 means multiplying 15 by 15.

Perform the Multiplication

Calculate the product: $15 \times 15 = 225$.

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Key Concepts

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

Exponents

Exponents are a shorthand way to express repeated multiplication of the same number. They are written as a small number, called the exponent, raised above and to the right of a base number. For example, in the expression \[ 15^{2} \], 15 is the base and 2 is the exponent. This means that 15 should be multiplied by itself 2 times (15 multiplied by 15).

The exponent tells us how many times to use the base in a multiplication.
An exponent of 2 is often referred to as squaring a number.
Exponents simplify the process of writing large numbers and performing multiplication.

By understanding how exponents work, you can solve many problems involving repeated multiplication more easily.

Multiplication

Multiplication is one of the four basic operations in arithmetic. It involves combining equal groups to find the total number of items. When multiplying two numbers, you are essentially adding one number to itself multiple times.
In the exercise, multiplying 15 by itself is required, since $ 15^{2} $ means $ 15 \times 15 $.

Start by setting up the multiplication: 15 times 15.
Calculate: If you multiply, 15 times 15 results in 225.
Ensure the calculation is accurate to avoid mistakes.

Mastering multiplication provides a strong foundation for working with more complex mathematical concepts, including exponents and squaring numbers.

Squaring Numbers

Squaring a number means raising it to the power of 2. This is a specific case of using exponents where the exponent is always 2. In simpler terms, squaring a number means multiplying that number by itself.
For example: \[ 15^{2} \], read as '15 squared,' translates to $ 15 \times 15 = 225 $.
Steps to square a number:

Identify the number to be squared.
Multiply the number by itself: 15 times 15.
Calculate to find the result: 225.

Squaring numbers is a fundamental skill in various areas of math, including algebra and geometry, and is often used to simplify larger problems.

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91影视

Evaluate. $$ 15^{2} $$

Short Answer

Step by step solution

Understand the Problem

Recall the Squaring Rule

Perform the Multiplication

Key Concepts

Exponents

Multiplication

Squaring Numbers

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