130 LearnersLast updated on May 30th, 2025
Square of 917
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 917.
What is the Square of 917
The square of a number is the product of the number with itself.
The square of 917 is 917 × 917.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 917², where 917 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive.
For example, 5² = 25; -5² = 25.
The square of 917 is 917 × 917 = 840,889.
Square of 917 in exponential form: 917²
Square of 917 in arithmetic form: 917 × 917
How to Calculate the Value of Square of 917
The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number. These are the common methods used to find the square of a number.
- 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 917.
Step 1: Identify the number. Here, the number is 917
Step 2: Multiplying the number by itself, we get, 917 × 917 = 840,889.
The square of 917 is 840,889.
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 917
So: 917² = 917 × 917 = 840,889
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 917.
Step 1: Enter the number in the calculator Enter 917 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 917 × 917
Step 3: Press the equal to button to find the answer Here, the square of 917 is 840,889.
Tips and Tricks for the Square of 917
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 917
Mistakes are common among kids when doing math, especially when it comes to finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip steps or swap digits. To avoid this, students should double-check their answers. 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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may mistakenly use (9 + 1 + 7)² or (900 + 17)². So, students should check and use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing square with square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid this, students should understand that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So, students should practice regularly to avoid errors.
Solved Examples on Square of 917
Problem 1
Find the length of a square, where the area of the square is 840,889 cm².
The area of a square = a² So, the area of a square = 840,889 cm² So, the length = √840,889 = 917. The length of each side = 917 cm
Explanation
The length of a square is 917 cm.
Because the area is 840,889 cm², the length is √840,889 = 917.
Problem 2
Sarah is planning to tile her square floor with a length of 917 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 917 feet The cost to tile 1 square foot of floor = 5 dollars. To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = a² Here a = 917 Therefore, the area of the floor = 917² = 917 × 917 = 840,889. The cost to tile the floor = 840,889 × 5 = 4,204,445. The total cost = 4,204,445 dollars.
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per square foot.
So, the total cost is 4,204,445 dollars.
Problem 3
Find the area of a circle whose radius is 917 meters.
The area of the circle = 2,640,360.26 m²
Explanation
The area of a circle = πr²
Here, r = 917
Therefore, the area of the circle = π × 917² = 3.14 × 917 × 917 = 2,640,360.26 m².
Problem 4
The area of the square is 849,889 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 849,889 cm²
The length of the side is √849,889 = 917
Perimeter of the square = 4a
Here, a = 917
Therefore, the perimeter = 4 × 917 = 3,668.
Problem 5
Find the square of 918.
The square of 918 is 842,724
Explanation
The square of 918 is multiplying 918 by 918.
So, the square = 918 × 918 = 842,724
FAQs on Square of 917
1.What is the square of 917?
2.What is the square root of 917?
3.Is 917 a prime number?
4.What are the first few multiples of 917?
5.What is the square of 918?
6.How does learning Algebra help students in Philippines make better decisions in daily life?
7.How can cultural or local activities in Philippines support learning Algebra topics such as Square of 917?
8.How do technology and digital tools in Philippines support learning Algebra and Square of 917?
9.Does learning Algebra support future career opportunities for students in Philippines?
Important Glossaries for Square 917.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, etc.
- Exponential form: A way of writing numbers using a base and an exponent, such as 917², where 917 is the base and 2 is the exponent.
- Square root: The value that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Multiplication method: A technique to find the square of a number by multiplying the number by itself.
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Jaskaran Singh Saluja
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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.
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