Cube of 898

A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number by itself three times results in a negative number.

The cube of 898 can be written as 898³, which is the exponential form. Or it can also be written in arithmetic form as, 898 × 898 × 898.

In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.

• By Multiplication Method
   
• Using a Formula
   
• Using a Calculator

The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts.

Step 1: Write down the cube of the given number.

898³ = 898 × 898 × 898.

Step 2: You get 724,128,392 as the answer.

Hence, the cube of 898 is 724,128,392.

The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.

Step 1: Split the number 898 into two parts.

Let a = 900 and b = -2, so a + b = 898

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term

a³ = 900³

3a²b = 3 × 900² × (-2)

3ab² = 3 × 900 × (-2)²

b³ = (-2)³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 - 2)³ = 900³ + 3 × 900² × (-2) + 3 × 900 × (-2)² + (-2)³

898³ = 729,000,000 - 4,860,000 + 10,800 - 8

898³ = 724,128,392

Step 5: Hence, the cube of 898 is 724,128,392.

To find the cube of 898 using a calculator, input the number 898 and use the cube function (if available) or multiply 898 × 898 × 898. This operation calculates the value of 898³, resulting in 724,128,392. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 8 followed by 9 and then 8.

Step 3: If the calculator has a cube function, press it to calculate 898³.

Step 4: If there is no cube function on the calculator, simply multiply 898 three times manually.

Step 5: The calculator will display 724,128,392.

• The cube of any even number is always even, while the cube of any odd number is always odd.

• The product of two or more perfect cube numbers is always a perfect cube.

• A perfect cube can always be expressed as the product of three identical groups of equal prime factors.

• Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the squares and cubes of numbers.

• Cube of a Number: Multiplying a number by itself three times is called the cube of a number.

• Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.

• Multiplication Method: A basic arithmetic operation where a number is added to itself a specified number of times, used to calculate the power of numbers like squares and cubes.

• Perfect Cube: A number that is the cube of an integer. For example, 27 is a perfect cube because it is 3³.