Cube of -20

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 multiplying a negative number by itself three times results in a negative number. The cube of -20 can be written as (-20)³, which is the exponential form. Or it can also be written in arithmetic form as -20 × -20 × -20.

To determine whether a number is a cube number, 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 - 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, which is a fundamental operation that forms the basis for more complex mathematical concepts. Step 1: Write down the cube of the given number. (-20)³ = -20 × -20 × -20 Step 2: You get -8,000 as the answer. Hence, the cube of -20 is -8,000.

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 -20 into two parts. Let a = -10 and b = -10, so a + b = -20 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = (-10)³ 3a²b = 3 × (-10)² × (-10) 3ab² = 3 × (-10) × (-10)² b³ = (-10)³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (-10 + -10)³ = (-10)³ + 3 × (-10)² × (-10) + 3 × (-10) × (-10)² + (-10)³ (-20)³ = -1,000 - 3,000 - 3,000 - 1,000 (-20)³ = -8,000 Step 5: Hence, the cube of -20 is -8,000.

To find the cube of -20 using a calculator, input the number -20 and use the cube function (if available) or multiply -20 × -20 × -20. This operation calculates the value of (-20)³, resulting in -8,000. 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 Step 3: If the calculator has a cube function, press it to calculate (-20)³. Step 4: If there is no cube function on the calculator, simply multiply -20 three times manually. Step 5: The calculator will display -8,000.

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, 2³ represents 2 × 2 × 2, which equals 8. Negative Number Cubing: When a negative number is cubed, the result is negative because the product of three negative factors is negative. Volume Formula for Cube: The formula to calculate the volume of a cube is Side³, where the side is the length of any edge of the cube.