131 LearnersLast updated on May 26th, 2025
Square of 870
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 870.
What is the Square of 870
The square of a number is the product of the number with itself. The square of 870 is 870 × 870. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 870², where 870 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 870 is 870 × 870 = 756,900.
Square of 870 in exponential form: 870²
Square of 870 in arithmetic form: 870 × 870
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How to Calculate the Value of Square of 870
The square of a number is found by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 870.
Step 1: Identify the number. Here, the number is 870.
Step 2: Multiplying the number by itself, we get, 870 × 870 = 756,900.
The square of 870 is 756,900.
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 870. So: 870² = 870 × 870 = 756,900
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 870.
Step 1: Enter the number in the calculator Enter 870 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 870 × 870
Step 3: Press the equal to button to find the answer Here, the square of 870 is 756,900.
Tips and Tricks for the Square of 870
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 870
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 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 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 870² with (8+7+0)² or (800+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 error.
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.
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Solved Examples on Square of 870
Problem 1
Find the length of the side of a square, where the area of the square is 756,900 cm².
The area of a square = a²
So, the area of the square = 756,900 cm²
So, the length = √756,900 = 870.
The length of each side = 870 cm
Explanation
The length of a square is 870 cm.
Because the area is 756,900 cm², the length is √756,900 = 870.
Problem 2
Maria is planning to carpet her square living room of length 870 feet. The cost to carpet a foot is 2 dollars. How much will it cost to carpet the entire room?
The length of the room = 870 feet
The cost to carpet 1 square foot of the room = 2 dollars.
To find the total cost to carpet, we find the area of the room,
Area of the room = area of the square = a²
Here a = 870
Therefore, the area of the room = 870² = 870 × 870 = 756,900.
The cost to carpet the room = 756,900 × 2 = 1,513,800.
The total cost = 1,513,800 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 1,513,800 dollars.
Problem 3
Find the area of a circle whose radius is 870 meters.
The area of the circle = 2,377,730.3 m²
Explanation
The area of a circle = πr²
Here, r = 870
Therefore, the area of the circle = π × 870² = 3.14 × 870 × 870 = 2,377,730.3 m².
Problem 4
The area of the square is 900,000 cm². Find the perimeter of the square.
The perimeter of the square is 1,200 cm.
Explanation
The area of the square = a²
Here, the area is 900,000 cm²
The length of the side is √900,000 = 948.68
Perimeter of the square = 4a
Here, a = 948.68
Therefore, the perimeter = 4 × 948.68 = 3,794.72 cm.
Problem 5
Find the square of 871.
The square of 871 is 758,641
Explanation
The square of 871 is multiplying 871 by 871. So, the square = 871 × 871 = 758,641
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FAQs on Square of 870
1.What is the square of 870?
2.What is the square root of 870?
3.Is 870 a perfect square?
4.What are the first few multiples of 870?
5.What is the square of 871?
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Important Glossaries for Square of 870.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponential form: A way of writing numbers using bases and exponents. For example, 870² is the exponential form.
- Square root: The inverse operation of squaring. It finds a number whose square is the number itself.
- Multiplication: The mathematical operation of scaling one number by another.
- Even number: Any integer divisible by 2 without a remainder. For example, 870 is an even number.
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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.
