116 LearnersLast updated on May 26th, 2025
Square of 674
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 674.
What is the Square of 674
The square of a number is the product of the number itself. The square of 674 is 674 × 674. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 674², where 674 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 674 is 674 × 674 = 454,276.
Square of 674 in exponential form: 674²
Square of 674 in arithmetic form: 674 × 674
How to Calculate the Value of Square of 674
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 674.
Step 1: Identify the number. Here, the number is 674.
Step 2: Multiplying the number by itself, we get, 674 × 674 = 454,276.
The square of 674 is 454,276.
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 674.
So: 674² = 674 × 674 = 454,276
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 674.
Step 1: Enter the number in the calculator Enter 674 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 674 × 674
Step 3: Press the equal to button to find the answer Here, the square of 674 is 454,276.
Tips and Tricks for the Square of 674
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 674
Mistakes are common among students 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 674² with (6+7+4)² or (600+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 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 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 674
Problem 1
A square garden has an area of 454,276 square meters. What is the length of one side of the garden?
The area of a square = a²
So, the area of a square = 454,276 m²
So, the length = √454,276 = 674.
The length of each side = 674 meters
Explanation
The length of the side of the square garden is 674 meters because the area is 454,276 m², and the length is √454,276 = 674.
Problem 2
Lisa plans to tile her square kitchen floor with a side length of 674 cm. The cost to tile one square cm is 5 cents. How much will it cost to tile the entire floor?
The length of the kitchen floor = 674 cm
The cost to tile 1 square cm of floor = 5 cents.
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 = 674
Therefore, the area of the floor = 674² = 674 × 674 = 454,276.
The cost to tile the floor = 454,276 × 5 = 2,271,380 cents.
The total cost = 22,713.80 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per square cm. So, the total cost is 22,713.80 dollars.
Problem 3
Find the area of a circle whose diameter is 674 meters.
The area of the circle = 356,440.26 m²
Explanation
The area of a circle = πr²
Here, diameter = 674
So, radius r = 674/2 = 337
Therefore, the area of the circle = π × 337²
= 3.14 × 337 × 337
= 356,440.26 m².
Problem 4
The area of a square is 454,276 cm². Find the perimeter of the square.
The perimeter of the square is 2,696 cm
Explanation
The area of the square = a²
Here, the area is 454,276 cm²
The length of the side is √454,276 = 674
Perimeter of the square = 4a
Here, a = 674
Therefore, the perimeter = 4 × 674 = 2,696 cm.
Problem 5
Find the square of 675.
The square of 675 is 455,625
Explanation
The square of 675 is multiplying 675 by 675. So, the square = 675 × 675 = 455,625
FAQs on Square of 674
1.What is the square of 674?
2.What is the square root of 674?
3.Is 674 a prime number?
4.What are the first few multiples of 674?
5.What is the square of 673?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 674?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 674?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square of 674
- Square: The result of multiplying a number by itself, such as 674 × 674 = 454,276.
- Perfect Square: A number that is the square of an integer. For example, 454,276 is a perfect square since it is 674².
- Prime Number: A number that has no divisors other than 1 and itself.
- Exponential Form: A way of expressing a number as a base raised to a power, such as 674².
- Square Root: The value that, when multiplied by itself, gives the original number, such as the square root of 454,276 is 674.
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About BrightChamps in Singapore
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.
