Cube of 2.4

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, because a negative number multiplied by itself three times results in a negative number.

The cube of 2.4 can be written as 2.4³, which is the exponential form.

Or it can also be written in arithmetic form as 2.4 × 2.4 × 2.4.

In order 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 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 (a³)
   
• 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. 2.4³ = 2.4 × 2.4 × 2.4

Step 2: You get approximately 13.824 as the answer.

Hence, the cube of 2.4 is approximately 13.824.

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 2.4 into two parts, as 2 and 0.4. Let (a = 2) and (b = 0.4), so (a + b = 2.4)

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

Step 3: Calculate each term (a³= 2³) (3a²b = 3 × 2² × 0.4) (3ab² = 3 × 2 × 0.4²) (b³ = 0.4³)

Step 4: Add all the terms together: ((a + b)³ = a_³ + 3a²b + 3ab² + b³) ((2 + 0.4)³= 2³ + 3 × 2² × 0.4 + 3 × 2 × 0.4² + 0.4³) (2.4³ = 8 + 4.8 + 0.96 + 0.064) (2.4³ = 13.824)

Step 5: Hence, the cube of 2.4 is approximately 13.824.

To find the cube of 2.4 using a calculator, input the number 2.4 and use the cube function (if available) or multiply (2.4 times 2.4 times 2.4). This operation calculates the value of (2.4³), resulting in approximately 13.824. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 2 followed by 0.4

Step 3: If the calculator has a cube function, press it to calculate (2.4³).

Step 4: If there is no cube function on the calculator, simply multiply 2.4 three times manually.

Step 5: The calculator will display approximately 13.824.

• 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 to 8.

• Perfect Cube: A number that can be expressed as the cube of an integer.

• Cube Root: The number that, when used as a factor three times, gives the original number. For example, the cube root of 8 is 2, because 2 × 2 × 2 = 8.