127 LearnersLast updated on May 27th, 2025
Square of 1070
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 1070.
What is the Square of 1070
The square of a number is the product of the number itself.
The square of 1070 is 1070 × 1070.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1070², where 1070 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 1070 is 1070 × 1070 = 1,144,900.
Square of 1070 in exponential form: 1070²
Square of 1070 in arithmetic form: 1070 × 1070
How to Calculate the Value of Square of 1070
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 (a2)
- 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 1070.
Step 1: Identify the number. Here, the number is 1070.
Step 2: Multiplying the number by itself, we get, 1070 × 1070 = 1,144,900.
The square of 1070 is 1,144,900.
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 1070. So: 1070² = 1070 × 1070 = 1,144,900
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 1070.
Step 1: Enter the number in the calculator Enter 1070 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1070 × 1070
Step 3: Press the equal to button to find the answer Here, the square of 1070 is 1,144,900.
Tips and Tricks for the Square of 1070
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 1070
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 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 while using the formula.
The formula to find the square of the number is a². Instead, students may use 1070² with (1000 + 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 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 1070
Problem 1
Find the length of the square, where the area of the square is 1,144,900 cm².
The area of a square = a²
So, the area of a square = 1,144,900 cm²
So, the length = √1,144,900 = 1070.
The length of each side = 1070 cm
Explanation
The length of a square is 1070 cm.
Because the area is 1,144,900 cm², the length is √1,144,900 = 1070.
Problem 2
Sarah wants to tile her square room with a length of 1070 feet. The cost to tile a square foot is 4 dollars. How much will it cost to tile the entire room?
The length of the room = 1070 feet
The cost to tile 1 square foot of the room = 4 dollars.
To find the total cost to tile, we find the area of the room,
Area of the room = area of the square = a²
Here a = 1070
Therefore, the area of the room = 1070² = 1070 × 1070 = 1,144,900.
The cost to tile the room = 1,144,900 × 4 = 4,579,600.
The total cost = 4,579,600 dollars
Explanation
To find the cost to tile the room, we multiply the area of the room by the cost to tile per foot.
So, the total cost is 4,579,600 dollars.
Problem 3
Find the area of a circle whose radius is 1070 meters.
The area of the circle = 3,598,266 m²
Explanation
The area of a circle = πr²
Here, r = 1070
Therefore, the area of the circle = π × 1070² = 3.14 × 1070 × 1070 = 3,598,266 m².
Problem 4
The area of the square is 1,144,900 cm². Find the perimeter of the square.
The perimeter of the square is 4,280 cm.
Explanation
The area of the square = a²
Here, the area is 1,144,900 cm²
The length of the side is √1,144,900 = 1070
Perimeter of the square = 4a
Here, a = 1070
Therefore, the perimeter = 4 × 1070 = 4,280 cm.
Problem 5
Find the square of 1071.
The square of 1071 is 1,147,041.
Explanation
The square of 1071 is multiplying 1071 by 1071.
So, the square = 1071 × 1071 = 1,147,041.
FAQs on Square of 1070
1.What is the square of 1070?
2.What is the square root of 1070?
3.Is 1070 a prime number?
4.What are the first few multiples of 1070?
5.What is the square of 1069?
6.How does learning Algebra help students in Philippines make better decisions in daily life?
7.How can cultural or local activities in Philippines support learning Algebra topics such as Square of 1070?
8.How do technology and digital tools in Philippines support learning Algebra and Square of 1070?
9.Does learning Algebra support future career opportunities for students in Philippines?
Important Glossaries for Square 1070.
- Perfect Square: A number that is the square of an integer. For example, 25, 36, etc.
- Exponent: The power to which a number is raised, indicating how many times to multiply the number by itself. For example, 3² means 3 raised to the power of 2.
- Square Root: The number which, when multiplied by itself, gives the original number. For example, the square root of 25 is 5.
- Even Number: A number divisible by 2. For example, 2, 4, 6, etc.
- Area: The measure of space inside a boundary, often expressed in square units. For example, the area of a square with side length 'a' is a².
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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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