122 LearnersLast updated on May 26th, 2025
Square of 969
The product of multiplying an integer by itself is the square of a number. Squaring is used in programming, calculating areas, and more. In this topic, we will discuss the square of 969.
What is the Square of 969
The square of a number is the product of the number with itself. The square of 969 is 969 × 969. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 969², where 969 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 969 is 969 × 969 = 938961.
Square of 969 in exponential form: 969²
Square of 969 in arithmetic form: 969 × 969
How to Calculate the Value of Square of 969
The square of a number is 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 969.
Step 1: Identify the number. Here, the number is 969.
Step 2: Multiplying the number by itself, we get, 969 × 969 = 938961.
The square of 969 is 938961.
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 969. So: 969² = 969 × 969 = 938961
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 969.
Step 1: Enter the number in the calculator Enter 969 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 969 × 969
Step 3: Press the equal to button to find the answer Here, the square of 969 is 938961.
Tips and Tricks for the Square of 969
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 969
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 else by swapping the digits. To avoid it, 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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 969² with (960 + 9)² or (900 + 69)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, 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 error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 969
Problem 1
Find the length of the square, where the area of the square is 938961 cm².
The area of a square = a²
So, the area of a square = 938961 cm²
So, the length = √938961 = 969.
The length of each side = 969 cm
Explanation
The length of a square is 969 cm. Because the area is 938961 cm², the length is √938961 = 969.
Problem 2
Linda wants to cover her square table top of length 969 inches with a decorative sheet. The cost to cover a square inch is 2 dollars. What will be the total cost to cover the table top?
The length of the table top = 969 inches
The cost to cover 1 square inch = 2 dollars.
To find the total cost to cover, we find the area of the table top,
Area of the table top = area of the square = a²
Here a = 969
Therefore, the area of the table top = 969² = 969 × 969 = 938961.
The cost to cover the table top = 938961 × 2 = 1877922.
The total cost = 1877922 dollars
Explanation
To find the cost to cover the table top, we multiply the area of the table top by the cost to cover per square inch. So, the total cost is 1877922 dollars.
Problem 3
Find the area of a circle whose radius is 969 meters.
The area of the circle = 2,947,499.06 m²
Explanation
The area of a circle = πr²
Here, r = 969
Therefore, the area of the circle = π × 969² = 3.14 × 969 × 969 = 2,947,499.06 m².
Problem 4
The area of the square is 938961 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 938961 cm²
The length of the side is √938961 = 969
Perimeter of the square = 4a
Here, a = 969
Therefore, the perimeter = 4 × 969 = 3876.
Problem 5
Find the square of 970.
The square of 970 is 940900
Explanation
The square of 970 is multiplying 970 by 970. So, the square = 970 × 970 = 940900
FAQs on Square of 969
1.What is the square of 969?
2.What is the square root of 969?
3.Is 969 a perfect square?
4.What are the first few multiples of 969?
5.What is the square of 968?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 969?
8.How do technology and digital tools in United States support learning Algebra and Square of 969?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 969.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponential Form: A way of writing numbers using bases and exponents. For example, 10² where 10 is the base and 2 is the exponent.
- Square Root: The number that produces a specified quantity when multiplied by itself. For example, the square root of 25 is 5.
- Multiplication Method: A method of finding the square of a number by multiplying the number by itself.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, 11, etc.
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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.
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