Cube of 989

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 989 can be written as 989³, which is the exponential form. Or it can also be written in arithmetic form as 989 × 989 × 989.

To check whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These methods help 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. 989³ = 989 × 989 × 989

Step 2: Calculate to get 967,062,209 as the answer. Hence, the cube of 989 is 967,062,209.

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 989 into two parts, as a and b. Let a = 900 and b = 89, so a + b = 989

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

Step 3: Calculate each term:

a³ = 900³

3a²b = 3 × 900² × 89

3ab² = 3 × 900 × 89²

b³ = 89³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 89)³ = 900³ + 3 × 900² × 89 + 3 × 900 × 89² + 89³

Step 5: Hence, the cube of 989 is 967,062,209.

To find the cube of 989 using a calculator, input the number 989 and use the cube function (if available) or multiply 989 × 989 × 989. This operation calculates the value of 989³, resulting in 967,062,209. 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 then 9.

Step 3: If the calculator has a cube function, press it to calculate 989³.

Step 4: If there is no cube function on the calculator, simply multiply 989 three times manually.

Step 5: The calculator will display 967,062,209.

• 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: 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: 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. 

• Volume of a Cube: The amount of space occupied by a cube, calculated by raising the side length to the power of three (Side³). 

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