122 LearnersLast updated on May 26th, 2025
Square of 974
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 974.
What is the Square of 974
The square of a number is the product of the number with itself. The square of 974 is 974 × 974. The square of a number can end in 0, 1, 4, 5, 6, or 9. We write it mathematically as 974², where 974 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 974 is 974 × 974 = 948676.
Square of 974 in exponential form: 974²
Square of 974 in arithmetic form: 974 × 974
How to Calculate the Value of Square of 974
The square of a number is found by multiplying the number by itself. Let’s learn how to calculate 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 974.
Step 1: Identify the number. Here, the number is 974.
Step 2: Multiplying the number by itself, we get, 974 × 974 = 948676.
The square of 974 is 948676.
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 974. So: 974² = 974 × 974 = 948676
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 974.
Step 1: Enter the number in the calculator. Enter 974 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 974 × 974
Step 3: Press the equal button to find the answer. Here, the square of 974 is 948676.
Tips and Tricks for the Square of 974
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 974
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 when using the formula.
The formula to find the square of the number is a². Instead, students may mistakenly use (9 + 7 + 4)² or (900 + 70 + 4)². So students should check and use the correct formula and double-check the answers to avoid all the 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 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 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 do regular practice to avoid errors.
Solved Examples on Square of 974
Problem 1
Find the length of the square, where the area of the square is 948676 cm².
The area of a square = a²
So, the area of a square = 948676 cm²
So, the length = √948676 = 974.
The length of each side = 974 cm
Explanation
The length of a square is 974 cm.
Because the area is 948676 cm², the length is √948676 = 974.
Problem 2
Sarah is planning to tile her square floor of length 974 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 974 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 = 974
Therefore, the area of the floor = 974² = 974 × 974 = 948676.
The cost to tile the floor = 948676 × 5 = 4743380.
The total cost = 4743380 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 4743380 dollars.
Problem 3
Find the area of a circle whose radius is 974 meters.
The area of the circle = 2,979,758.96 m²
Explanation
The area of a circle = πr²
Here, r = 974
Therefore, the area of the circle = π × 974² = 3.14 × 974 × 974 = 2,979,758.96 m².
Problem 4
The area of the square is 948676 cm². Find the perimeter of the square.
The perimeter of the square is 3896 cm.
Explanation
The area of the square = a²
Here, the area is 948676 cm²
The length of the side is √948676 = 974
Perimeter of the square = 4a
Here, a = 974
Therefore, the perimeter = 4 × 974 = 3896.
Problem 5
Find the square of 980.
The square of 980 is 960400.
Explanation
The square of 980 is multiplying 980 by 980.
So, the square = 980 × 980 = 960400
FAQs on Square of 974
1.What is the square of 974?
2.What is the square root of 974?
3.Is 974 a prime number?
4.What are the first few multiples of 974?
5.What is the square of 975?
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 974?
8.How do technology and digital tools in United States support learning Algebra and Square of 974?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 974.
- Square: The square of a number is the result of multiplying the number by itself.
- Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: The exponent of a number shows how many times the number is multiplied by itself. For example, in 974², 2 is the exponent.
- Multiplication: The process of combining numbers to get their total value.
- Formula: A mathematical rule or principle, often expressed in algebraic symbols.
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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.
