116 LearnersLast updated on May 26th, 2025
Square of -17
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of -17.
What is the Square of -17
The square of a number is the product of the number by itself. The square of -17 is -17 × -17. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-17)², where -17 is the base and 2 is the exponent. The square of a positive or a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of -17 is -17 × -17 = 289.
Square of -17 in exponential form: (-17)²
Square of -17 in arithmetic form: -17 × -17
How to Calculate the Value of Square of -17
The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number using common methods:
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of -17.
Step 1: Identify the number. Here, the number is -17.
Step 2: Multiply the number by itself: -17 × -17 = 289.
The square of -17 is 289.
Using a Formula (a²)
In this method, the formula a² is used to find the square of the number, where 'a' is the number.
Step 1: Understanding the equation Square of a number = a²
a² = a × a
Step 2: Identifying the number and substituting the value in the equation.
Here, ‘a’ is -17 So: (-17)² = -17 × -17 = 289
By Using a Calculator
Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of -17.
Step 1: Enter the number in the calculator Enter -17 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is -17 × -17
Step 3: Press the equals button to find the answer Here, the square of -17 is 289.
Tips and Tricks for the Square of -17: Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of -17
Mistakes are common among kids in math, especially when finding the square of a number. Let’s learn some common mistakes to master squaring a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip steps or swap digits. To avoid this, students should double-check the answer. They can double-check by finding the square root of the solution they found. For example, the square of 25 is 625, and the square root of 625 is ±25.
Solved Examples on Square of -17
Problem 1
Find the length of the square where the area of the square is 289 cm².
The area of a square = a²
So, the area of a square = 289 cm²
So, the length = √289 = 17.
The length of each side = 17 cm
Explanation
The length of a square is 17 cm. Because the area is 289 cm², the length is √289 = 17.
Problem 2
Jenny is planning to carpet her square room with a side length of 17 feet. The cost to carpet a square foot is 5 dollars. How much will it cost to carpet the entire room?
The length of the room = 17 feet
The cost to carpet 1 square foot = 5 dollars.
To find the total cost to carpet, we find the area of the room,
Area of the room = area of the square = a²
Here a = 17
Therefore, the area of the room = 17² = 17 × 17 = 289.
The cost to carpet the room = 289 × 5 = 1445.
The total cost = 1445 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per square foot. So, the total cost is 1445 dollars.
Problem 3
Find the area of a circle whose radius is 17 meters.
The area of the circle = 907.46 m²
Explanation
The area of a circle = πr²
Here, r = 17
Therefore, the area of the circle = π × 17² = 3.14 × 17 × 17 = 907.46 m².
Problem 4
The area of the square is 289 cm². Find the perimeter of the square.
The perimeter of the square is 68 cm
Explanation
The area of the square = a²
Here, the area is 289 cm²
The length of the side is √289 = 17
Perimeter of the square = 4a
Here, a = 17
Therefore, the perimeter = 4 × 17 = 68.
Problem 5
Find the square of -18.
The square of -18 is 324
Explanation
The square of -18 is multiplying -18 by -18. So, the square = -18 × -18 = 324
FAQs on Square of -17
1.What is the square of -17?
2.What is the square root of 289?
3.Is -17 a prime number?
4.What are the first few multiples of -17?
5.What is the square of -16?
Important Glossaries for Square of -17
- Integer: Whole numbers that can be positive, negative, or zero, such as -3, 0, 7.
- Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: In mathematics, the exponent indicates how many times the base is multiplied by itself. For example, in 2³, 3 is the exponent.
- Multiplication: The mathematical operation of scaling one number by another.
- Calculator: A device used for performing arithmetic operations efficiently.
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Jaskaran Singh Saluja
About the Author
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
