Cube of 842

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 842 can be written as 842³, which is the exponential form. Or it can also be written in arithmetic form as 842 × 842 × 842.

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 methods help to cube numbers faster and easier without confusion or feeling 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 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. 842³ = 842 × 842 × 842 Step 2: You get 596,516,648 as the answer. Hence, the cube of 842 is 596,516,648.

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 842 into two parts, as 800 and 42. Let a = 800 and b = 42, so a + b = 842 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 42 3ab² = 3 × 800 × 42² b³ = 42³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 42)³ = 800³ + 3 × 800² × 42 + 3 × 800 × 42² + 42³ 842³ = 512,000,000 + 80,640,000 + 42,336,000 + 74,088 842³ = 596,516,648 Step 5: Hence, the cube of 842 is 596,516,648.

To find the cube of 842 using a calculator, input the number 842 and use the cube function (if available) or multiply 842 × 842 × 842. This operation calculates the value of 842³, resulting in 596,516,648. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 8 followed by 4 and then 2 Step 3: If the calculator has a cube function, press it to calculate 842³. Step 4: If there is no cube function on the calculator, simply multiply 842 three times manually. Step 5: The calculator will display 596,516,648.

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: 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. Volume of a Cube: The amount of space occupied by a cube, calculated as the cube of its side length, V = Side³. Perfect Cube: A number that can be expressed as the cube of an integer.