Cube of 984

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 multiplied by itself three times results in a negative number.

The cube of 984 can be written as 984³, which is the exponential form. Or it can also be written in arithmetic form as 984 × 984 × 984.

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 students to cube numbers faster and easier without feeling confused or stuck while evaluating the answers.

1. By Multiplication Method
2. Using a Formula
3. Using a Calculator

The multiplication method is a process in mathematics used to find the product of 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. 984³ = 984 x 984 x 984 

Step 2: You get 952,956,032 as the answer. Hence, the cube of 984 is 952,956,032.

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 984 into two parts. Let a = 900 and b = 84, so a + b = 984

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

Step 3: Calculate each term a³ = 900³

 3a²b = 3 x 900² x 84

3ab² = 3 x 900 x 84² 

b³ = 84³ 

Step 4: Add all the terms together:(a + b)³ = a³ + 3a²b + 3ab² + b³

 (900 + 84)³ = 900³ + 3 x 900² x 84 + 3 x 900 x 84² + 84³ 

984³ = 729,000,000 + 204,120,000 + 19,051,200 + 592,704 

984³ = 952,956,032 

Step 5: Hence, the cube of 984 is 952,956,032.

To find the cube of 984 using a calculator, input the number 984 and use the cube function (if available) or multiply 984 × 984 × 984. This operation calculates the value of 984³, resulting in 952,956,032. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9 followed by 8 and 4

Step 3: If the calculator has a cube function, press it to calculate 984³.

Step 4: If there is no cube function on the calculator, simply multiply 984 three times manually.

Step 5: The calculator will display 952,956,032.

• 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 square and cube of a number.

• 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.

• Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted by the radical symbol with a small 3, ∛x.

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