Cube of -1331

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 -1331 can be written as (-1331)³, which is the exponential form. Or it can also be written in arithmetic form as -1331 × -1331 × -1331.

To check whether a number is a cube number or not, we can use the following three methods: 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 numbers or quantities by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.

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

(-1331)³ = -1331 × -1331 × -1331

Step 2: You get -2,352,637,961 as the answer.

Hence, the cube of -1331 is -2,352,637,961.

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

Step 1: Split the number -1331 into two parts, as -1300 and -31.

Let a = -1300 and b = -31, so a + b = -1331

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

Step 3: Calculate each term a³ = (-1300)³ , 3a²b = 3 × (-1300)² × (-31) , 3ab² = 3 × (-1300) × (-31)² , b³ = (-31)³

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

(-1300 + -31)³= (-1300)³ + 3 × (-1300)² × (-31) + 3 × (-1300) × (-31)² + (-31)³

(-1331)³ = -2,197,000,000 + 1,247,900 + 1,249,700 + -29,791

(-1331)³ = -2,352,637,961

Step 5: Hence, the cube of -1331 is -2,352,637,961.

To find the cube of -1331 using a calculator, input the number -1331 and use the cube function (if available) or multiply -1331 × -1331 × -1331. This operation calculates the value of (-1331)³, resulting in -2,352,637,961. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1 followed by 3, 3, 1, and then the negative sign

Step 3: If the calculator has a cube function, press it to calculate (-1331)³.

Step 4: If there is no cube function on the calculator, simply multiply -1331 three times manually.

Step 5: The calculator will display -2,352,637,961.

• 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 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 cube of a number.
  
   
• Cube of a Number: Multiplying a number by itself three times, called the cube of a number.
  
   
• Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent indicates how many times the base is multiplied by itself.
  
   
• Perfect Cube: A number that can be expressed as the cube of an integer.
  
   
• Cube Root: A value that, when multiplied by itself three times, gives the original number, such as ∛x = y.