127 LearnersLast updated on May 26th, 2025
Square of 4
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 4.
What is the Square of 4
The square of a number is the product of the number with itself. The square of 4 is 4 × 4. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 4², where 4 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 4 is 4 × 4 = 16. Square of 4 in exponential form: 4² Square of 4 in arithmetic form: 4 × 4
How to Calculate the Value of Square of 4
The square of a number is obtained by multiplying the number by itself. Let's learn how to find the square of a number using common methods. 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 4. Step 1: Identify the number. Here, the number is 4. Step 2: Multiplying the number by itself, we get, 4 × 4 = 16. The square of 4 is 16.
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 4. So: 4² = 4 × 4 = 16
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 4. Step 1: Enter the number in the calculator Enter 4 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 4 × 4 Step 3: Press the equal button to find the answer Here, the square of 4 is 16. Tips and Tricks for the Square of 4 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 4
Mistakes are common among kids 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 steps or swap 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 5 is 25, and the square root of 25 is ±5.
Mistake 2
Errors in using the formula.
The formula to find the square of a number is a². Instead, students may mistakenly calculate (3 + 1)² as 31². So students should check and use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square with square root.
Not understanding the concept of squares and square roots can lead to confusion. To avoid this, students should understand that square and square root are inverse operations. The square of 4 is 16, and the square root of 16 is ±4.
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. Students should practice regularly to avoid errors.
Solved Examples on Square of 4
Problem 1
Find the length of the square, where the area of the square is 16 cm².
The area of a square = a² So, the area of a square = 16 cm² So, the length = √16 = 4. The length of each side = 4 cm
Explanation
The length of a square is 4 cm. Because the area is 16 cm², the length is √16 = 4.
Problem 2
Sarah is planning to tile her square kitchen floor of length 4 meters. The cost to tile a square meter is 10 dollars. How much will it cost to tile the full floor?
The length of the floor = 4 meters The cost to tile 1 square meter of the floor = 10 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 = 4 Therefore, the area of the floor = 4² = 4 × 4 = 16. The cost to tile the floor = 16 × 10 = 160. The total cost = 160 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per square meter. So, the total cost is 160 dollars.
Problem 3
Find the area of a circle whose radius is 4 meters.
The area of the circle = 50.24 m²
Explanation
The area of a circle = πr² Here, r = 4 Therefore, the area of the circle = π × 4² = 3.14 × 4 × 4 = 50.24 m².
Problem 4
The area of the square is 64 cm². Find the perimeter of the square.
The perimeter of the square is 32 cm.
Explanation
The area of the square = a² Here, the area is 64 cm² The length of the side is √64 = 8 Perimeter of the square = 4a Here, a = 8 Therefore, the perimeter = 4 × 8 = 32.
Problem 5
Find the square of 5.
The square of 5 is 25.
Explanation
The square of 5 is obtained by multiplying 5 by 5. So, the square = 5 × 5 = 25.
FAQs on Square of 4
1.What is the square of 4?
2.What is the square root of 4?
3.Is 4 a prime number?
4.What are the first few multiples of 4?
5.What is the square of 3?
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 4?
8.How do technology and digital tools in United States support learning Algebra and Square of 4?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 4.
Perfect square: A perfect square is an integer that is the square of an integer. For example, 4, 9, 16, 25, ... Square: The square of a number is the product of the number with itself. For example, the square of 4 is 16. Square root: The square root is the inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number. Exponent: An exponent indicates how many times a number is to be multiplied by itself. In 4², the 2 is the exponent. Even number: An even number is any integer that is divisible by 2 without a remainder. For example, 2, 4, 6, 8, ...
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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
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