Cube of -216

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 -216 can be written as (-216)^3, which is the exponential form. Or it can also be written in arithmetic form as, -216 × -216 × -216.

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 (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. (-216)^3 = -216 × -216 × -216 Step 2: You get -10,077,696 as the answer. Hence, the cube of -216 is -10,077,696.

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 -216 into two parts, as -200 and -16. Let a = -200 and b = -16, so a + b = -216 Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 Step 3: Calculate each term a^3 = (-200)^3 3a^2b = 3 × (-200)^2 × (-16) 3ab^2 = 3 × (-200) × (-16)^2 b^3 = (-16)^3 Step 4: Add all the terms together: (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 (-200 + -16)^3 = (-200)^3 + 3 × (-200)^2 × (-16) + 3 × (-200) × (-16)^2 + (-16)^3 (-216)^3 = -8,000,000 - 1,920,000 - 153,600 - 4,096 (-216)^3 = -10,077,696 Step 5: Hence, the cube of -216 is -10,077,696.

To find the cube of -216 using a calculator, input the number -216 and use the cube function (if available) or multiply -216 × -216 × -216. This operation calculates the value of (-216)^3, resulting in -10,077,696. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press - 2 1 6 Step 3: If the calculator has a cube function, press it to calculate (-216)^3. Step 4: If there is no cube function on the calculator, simply multiply -216 three times manually. Step 5: The calculator will display -10,077,696.

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, 2^3 represents 2 × 2 × 2, which equals 8. Perfect Cube: A number that is the result of multiplying an integer by itself three times. For instance, 216 is a perfect cube because 6 × 6 × 6 = 216. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 216 is 6, because 6 × 6 × 6 = 216.