127 LearnersLast updated on May 30th, 2025
Square of 1117
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 1117.
What is the Square of 1117
The square of a number is the product of the number with itself.
The square of 1117 is 1117 × 1117.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1117², where 1117 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 1117 is 1117 × 1117 = 1,247,689.
Square of 1117 in exponential form: 1117²
Square of 1117 in arithmetic form: 1117 × 1117
How to Calculate the Value of Square of 1117
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 will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1117.
Step 1: Identify the number. Here, the number is 1117.
Step 2: Multiplying the number by itself, we get, 1117 × 1117 = 1,247,689.
The square of 1117 is 1,247,689.
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 1117.
So: 1117² = 1117 × 1117 = 1,247,689
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 1117.
Step 1: Enter the number in the calculator Enter 1117 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1117 × 1117.
Step 3: Press the equal to button to find the answer. Here, the square of 1117 is 1,247,689.
Tips and Tricks for the Square of 1117
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 1117
Mistakes are common among students when doing 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 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 use 1117² as (1100 + 17)². So students should check and use the correct formula and double-check the answers to avoid all confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid this, students should understand the concept 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 the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and do the 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 1117
Problem 1
Find the length of the square, where the area of the square is 1,247,689 cm².
The area of a square = a² So, the area of a square = 1,247,689 cm² So, the length = √1,247,689 = 1117. The length of each side = 1117 cm
Explanation
The length of a square is 1117 cm.
Because the area is 1,247,689 cm², the length is √1,247,689 = 1117.
Problem 2
Sarah is planning to paint her square wall of length 1117 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 1117 feet The cost to paint 1 square foot of wall = 2 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 1117. Therefore, the area of the wall = 1117² = 1117 × 1117 = 1,247,689. The cost to paint the wall = 1,247,689 × 2 = 2,495,378. The total cost = 2,495,378 dollars.
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot.
So, the total cost is 2,495,378 dollars.
Problem 3
Find the area of a circle whose radius is 1117 meters.
The area of the circle = 3,918,038.66 m²
Explanation
The area of a circle = πr²
Here, r = 1117.
Therefore, the area of the circle = π × 1117² = 3.14 × 1117 × 1117 = 3,918,038.66 m².
Problem 4
The area of the square is 1,247,689 cm². Find the perimeter of the square.
The perimeter of the square is 4,468 cm.
Explanation
The area of the square = a²
Here, the area is 1,247,689 cm².
The length of the side is √1,247,689 = 1117.
Perimeter of the square = 4a
Here, a = 1117.
Therefore, the perimeter = 4 × 1117 = 4,468 cm.
Problem 5
Find the square of 1118.
The square of 1118 is 1,250,724.
Explanation
The square of 1118 is found by multiplying 1118 by 1118.
So, the square = 1118 × 1118 = 1,250,724.
FAQs on Square of 1117
1.What is the square of 1117?
2.What is the square root of 1117?
3.Is 1117 a prime number?
4.What are the first few multiples of 1117?
5.What is the square of 1116?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 1117?
8.How do technology and digital tools in India support learning Algebra and Square of 1117?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 1117.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 1117.
- Exponential form: A way of writing a number using a base and an exponent. For example, 1117² where 1117 is the base and 2 is the exponent.
- Square root: The number which, when multiplied by itself, gives the original number. For example, the square root of 1,247,689 is 1117.
- Perfect square: A number that is the square of an integer. For example, 1,247,689 is a perfect square.
- Multiplication method: The process of finding 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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