Cube of -25

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 -25 can be written as (-25)³, which is the exponential form. Or it can also be written in arithmetic form as, -25 × -25 × -25.

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 methods help in cubing numbers faster and easier without confusion or errors 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. It is a fundamental operation that forms the basis for more complex mathematical concepts. Step 1: Write down the cube of the given number. (-25)³ = -25 × -25 × -25 Step 2: You get -15,625 as the answer. Hence, the cube of -25 is -15,625.

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 -25 into two parts, such as -20 and -5. Let a = -20 and b = -5, so a + b = -25 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = (-20)³ 3a²b = 3 × (-20)² × (-5) 3ab² = 3 × (-20) × (-5)² b³ = (-5)³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (-20 + -5)³ = (-20)³ + 3 × (-20)² × (-5) + 3 × (-20) × (-5)² + (-5)³ (-25)³ = -8000 + 6000 + 1500 - 125 (-25)³ = -15,625 Step 5: Hence, the cube of -25 is -15,625.

To find the cube of -25 using a calculator, input the number -25 and use the cube function (if available) or multiply -25 × -25 × -25. This operation calculates the value of (-25)³, resulting in -15,625. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press the negative sign followed by 2 and 5 Step 3: If the calculator has a cube function, press it to calculate (-25)³. Step 4: If there is no cube function on the calculator, simply multiply -25 three times manually. Step 5: The calculator will display -15,625.

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 8. Perfect Cube: A number that can be expressed as the cube of an integer. For example, 8 is a perfect cube because it is 2³. Cube Root: The number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.