Cube of 389

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 389 can be written as 389^3, which is the exponential form.

Or it can also be written in arithmetic form as 389 × 389 × 389.

In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a^3), 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. 389^3 = 389 × 389 × 389

Step 2: You get 58,847,869 as the answer. Hence, the cube of 389 is 58,847,869.

The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3.

Step 1: Split the number 389 into two parts, as 300 and 89. Let a = 300 and b = 89, so a + b = 389

Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Step 3: Calculate each term a^3 = 300^3 3a^2b = 3 × 300^2 × 89 3ab^2 = 3 × 300 × 89^2 b^3 = 89^3

Step 4: Add all the terms together: (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 (300 + 89)^3 = 300^3 + 3 × 300^2 × 89 + 3 × 300 × 89^2 + 89^3 389^3 = 27,000,000 + 24,030,000 + 7,123,800 + 704,069 389^3 = 58,847,869

Step 5: Hence, the cube of 389 is 58,847,869.

To find the cube of 389 using a calculator, input the number 389 and use the cube function (if available) or multiply 389 × 389 × 389. This operation calculates the value of 389^3, resulting in 58,847,869. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 3 followed by 8 and 9

Step 3: If the calculator has a cube function, press it to calculate 389^3.

Step 4: If there is no cube function on the calculator, simply multiply 389 three times manually.

Step 5: The calculator will display 58,847,869.

• 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, 2^3 represents 2 × 2 × 2, which equals 8.
   
• Perfect Cube: A number that can be expressed as the cube of an integer. Examples include 1, 8, 27, and 64.
   
• Cube Root: The reverse operation of cubing, where a number is found which, when raised to the power of 3, yields the original number. For example, the cube root of 8 is 2.