127 LearnersLast updated on May 26th, 2025
Square of 1157
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 1157.
What is the Square of 1157
The square of a number is the product of the number with itself. The square of 1157 is 1157 × 1157. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1157², where 1157 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 1157 is 1157 × 1157 = 1,338,649.
Square of 1157 in exponential form: 1157²
Square of 1157 in arithmetic form: 1157 × 1157
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How to Calculate the Value of Square of 1157
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 1157.
Step 1: Identify the number. Here, the number is 1157.
Step 2: Multiplying the number by itself, we get, 1157 × 1157 = 1,338,649.
The square of 1157 is 1,338,649.
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 1157. So: 1157² = 1157 × 1157 = 1,338,649
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 1157.
Step 1: Enter the number in the calculator Enter 1157 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1157 × 1157
Step 3: Press the equal to button to find the answer Here, the square of 1157 is 1,338,649.
Tips and Tricks for the Square of 1157
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 1157
Mistakes are common among kids when doing math, especially when it is 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 the steps or swap the 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 wrongly use 1157² with (1 + 1 + 5 + 7)² or (1000 + 100 + 50 + 7)². 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 parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. Perform 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. Students should practice regularly to avoid errors.
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Solved Examples on Square of 1157
Problem 1
A rectangular garden has an area of 1,338,649 square meters. If one side of the garden is 1157 meters long, what is the length of the other side?
The area of the rectangle = length × width
Here, the area is 1,338,649 m², and one length is 1157 m.
So, the other length = 1,338,649 ÷ 1157 = 1157 m.
The length of the other side = 1157 meters
Explanation
The length of the other side of the rectangle is 1157 meters, as the area is 1,338,649 m² and one side is 1157 meters.
Problem 2
A square plaza has a side length of 1157 meters. If it costs 2 dollars to pave a square meter, what will be the total cost to pave the entire plaza?
The length of the plaza = 1157 meters.
The cost to pave 1 square meter of the plaza = 2 dollars.
To find the total cost to pave, compute the area of the plaza,
Area of the plaza = side²
Here side = 1157
Therefore, the area of the plaza = 1157² = 1,338,649.
The cost to pave the plaza = 1,338,649 × 2 = 2,677,298.
The total cost = 2,677,298 dollars
Explanation
To find the cost to pave the plaza, multiply the area of the plaza by the cost to pave per square meter. The total cost is 2,677,298 dollars.
Problem 3
Find the area of a circle whose radius is 1157 meters.
The area of the circle = 4,205,126.26 m²
Explanation
The area of a circle = πr²
Here, r = 1157
Therefore, the area of the circle = π × 1157² = 3.14 × 1157 × 1157 = 4,205,126.26 m².
Problem 4
The area of the square is 1,338,649 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1,338,649 cm².
The length of the side is √1,338,649 = 1157.
Perimeter of the square = 4a
Here, a = 1157
Therefore, the perimeter = 4 × 1157 = 4628.
Problem 5
Find the square of 1158.
The square of 1158 is 1,341,764
Explanation
The square of 1158 is multiplying 1158 by 1158.
So, the square = 1158 × 1158 = 1,341,764
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FAQs on Square of 1157
1.What is the square of 1157?
2.What is the square root of 1157?
3.Is 1157 a prime number?
4.What are the first few multiples of 1157?
5.What is the square of 1156?
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Important Glossaries for Square of 1157.
- Prime number: A number that is only divisible by 1 and itself.
- Exponential form: Exponential form is a way of writing numbers using a base and a power, like 1157².
- Square root: The square root is the inverse operation of squaring. The square root of a number is the value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Area: The measure of space within a shape, usually expressed in square units.
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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.
