118 LearnersLast updated on May 26th, 2025
Square of 742
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 742.
What is the Square of 742
The square of a number is the product of the number itself. The square of 742 is 742 × 742. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 742², where 742 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 742 is 742 × 742 = 550,564. Square of 742 in exponential form: 742² Square of 742 in arithmetic form: 742 × 742
How to Calculate the Value of Square of 742
The square of a number is found by 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 742. Step 1: Identify the number. Here, the number is 742. Step 2: Multiplying the number by itself, we get, 742 × 742 = 550,564. The square of 742 is 550,564.
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 742. So: 742² = 742 × 742 = 550,564
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 742. Step 1: Enter the number in the calculator Enter 742 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 742 × 742 Step 3: Press the equal to button to find the answer Here, the square of 742 is 550,564. Tips and Tricks for the Square of 742 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 742
Mistakes are common among learners when doing math, especially when 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 swap the digits. To avoid this, 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 use 742² with (74 + 2)² or (740 + 2)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 this, 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 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 practice regularly to avoid errors.
Solved Examples on Square of 742
Problem 1
Find the perimeter of a square where the area of the square is 550,564 cm².
The area of a square = a² So, the area of a square = 550,564 cm² So, the length = √550,564 = 742. Perimeter of the square = 4a The perimeter = 4 × 742 = 2,968 cm
Explanation
The perimeter of a square with an area of 550,564 cm² is 2,968 cm. The side length is √550,564 = 742.
Problem 2
Sarah is planning to tile her square floor with tiles of length 742 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 742 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 = 742 Therefore, the area of the floor = 742² = 742 × 742 = 550,564. The cost to tile the floor = 550,564 × 5 = 2,752,820. The total cost = 2,752,820 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 2,752,820 dollars.
Problem 3
Find the area of a circle whose radius is 742 meters.
The area of the circle = 1,729,957.28 m²
Explanation
The area of a circle = πr² Here, r = 742 Therefore, the area of the circle = π × 742² = 3.14 × 742 × 742 = 1,729,957.28 m².
Problem 4
The area of the square is 742,000 cm². Find the length of one side of the square.
The length of one side of the square is 861.34 cm.
Explanation
The area of the square = a² Here, the area is 742,000 cm² The length of one side is √742,000 ≈ 861.34 cm
Problem 5
Find the square of 743.
The square of 743 is 552,049
Explanation
The square of 743 is multiplying 743 by 743. So, the square = 743 × 743 = 552,049
FAQs on Square of 742
1.What is the square of 742?
2.What is the square root of 742?
3.Is 742 a prime number?
4.What are the first few multiples of 742?
5.What is the square of 741?
6.How does learning Algebra help students in Indonesia make better decisions in daily life?
7.How can cultural or local activities in Indonesia support learning Algebra topics such as Square of 742?
8.How do technology and digital tools in Indonesia support learning Algebra and Square of 742?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Square of 742.
Perfect Square: A number that is the square of an integer. For example, 4, 9, 16, … Square: The result of multiplying a number by itself. For example, the square of 3 is 9. Square Root: The number that produces a specified quantity when multiplied by itself. For example, the square root of 9 is 3. Even Number: A number divisible by 2 without a remainder. For example, 2, 4, 6, … Multiplication: A mathematical operation to find the total number of items in groups of equal size.
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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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