125 LearnersLast updated on May 26th, 2025
Square of 970
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 970.
What is the Square of 970
The square of a number is the product of the number with itself. The square of 970 is 970 × 970. The square of a number typically ends in 0, 1, 4, 5, 6, or 9. We write it in math as 970², where 970 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 970 is 970 × 970 = 940,900.
Square of 970 in exponential form: 970²
Square of 970 in arithmetic form: 970 × 970
How to Calculate the Value of Square of 970
The square of a number is multiplying the number by itself. So 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 970.
Step 1: Identify the number. Here, the number is 970.
Step 2: Multiplying the number by itself, we get, 970 × 970 = 940,900.
The square of 970 is 940,900.
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 970 So: 970² = 970 × 970 = 940,900
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 970.
Step 1: Enter the number in the calculator Enter 970 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 970 × 970
Step 3: Press the equal to button to find the answer Here, the square of 970 is 940,900.
Tips and Tricks for the Square of 970
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 970
Mistakes are common among students 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 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 when using the formula.
The formula to find the square of the number is a². Instead, students may mistakenly try 970² with (9+7+0)² or (900+70)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 among 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 errors.
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 970
Problem 1
Find the length of the square, where the area of the square is 940,900 cm².
The area of a square = a²
So, the area of a square = 940,900 cm²
So, the length = √940,900 = 970.
The length of each side = 970 cm
Explanation
The length of a square is 970 cm.
Because the area is 940,900 cm², the length is √940,900 = 970.
Problem 2
Anna wants to tile her square courtyard, which has a length of 970 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire courtyard?
The length of the courtyard = 970 feet
The cost to tile 1 square foot of the courtyard = 5 dollars.
To find the total cost to tile, we find the area of the courtyard,
Area of the courtyard = area of the square = a²
Here a = 970
Therefore, the area of the courtyard = 970² = 970 × 970 = 940,900.
The cost to tile the courtyard = 940,900 × 5 = 4,704,500.
The total cost = 4,704,500 dollars
Explanation
To find the cost to tile the courtyard,
we multiply the area of the courtyard by the cost to tile per foot.
So, the total cost is 4,704,500 dollars.
Problem 3
Find the area of a circle whose radius is 970 meters.
The area of the circle = 2,957,920.6 m²
Explanation
The area of a circle = πr²
Here, r = 970
Therefore, the area of the circle = π × 970² = 3.14 × 970 × 970 = 2,957,920.6 m².
Problem 4
The area of a square is 940,900 cm². Find the perimeter of the square.
The perimeter of the square is 3,880 cm.
Explanation
The area of the square = a²
Here, the area is 940,900 cm²
The length of the side is √940,900 = 970
Perimeter of the square = 4a
Here, a = 970
Therefore, the perimeter = 4 × 970 = 3,880.
Problem 5
Find the square of 971.
The square of 971 is 943,641
Explanation
The square of 971 is multiplying 971 by 971.
So, the square = 971 × 971 = 943,641
FAQs on Square of 970
1.What is the square of 970?
2.What is the square root of 970?
3.Is 970 a prime number?
4.What are the first few multiples of 970?
5.What is the square of 969?
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 970?
8.How do technology and digital tools in United States support learning Algebra and Square of 970?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 970
- Perfect Square: A number that is the square of an integer. For example, 4, 9, 16, and 25.
- Prime Number: A number greater than 1 that has no divisors other than 1 and itself. For example, 2, 3, 5, and 7.
- Exponential Form: A way of writing numbers using a base and an exponent. For example, 970².
- Square Root: The value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5.
- Area: The measure of the surface enclosed within a shape, often expressed in square units.
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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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