Cube of 987

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 987 can be expressed as 987³, which is the exponential form. Or it can also be written in arithmetic form as 987 × 987 × 987.

To check whether a number is a cube number or not, we can use the following three methods: multiplication method, factor formula (a³), or by using a calculator. These three methods help in cubing numbers faster and easier without confusion 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. 987³ = 987 × 987 × 987 Step 2: You get 961,504,803 as the answer. Hence, the cube of 987 is 961,504,803.

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 987 into two parts. Let a = 900 and b = 87, so a + b = 987 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 87 3ab² = 3 × 900 × 87² b³ = 87³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 87)³ = 900³ + 3 × 900² × 87 + 3 × 900 × 87² + 87³ 987³ = 729,000,000 + 210,690,000 + 20,439,900 + 658,503 987³ = 961,504,803 Step 5: Hence, the cube of 987 is 961,504,803.

To find the cube of 987 using a calculator, input the number 987 and use the cube function (if available) or multiply 987 × 987 × 987. This operation calculates the value of 987³, resulting in 961,504,803. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9 followed by 8 and then 7 Step 3: If the calculator has a cube function, press it to calculate 987³. Step 4: If there is no cube function on the calculator, simply multiply 987 three times manually. Step 5: The calculator will display 961,504,803.

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. Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. Perfect Cube: A number that is the cube of an integer. For example, 27 is a perfect cube because it is 3³.