Cube of 1016

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 by itself three times results in a negative number.

The cube of 1016 can be written as 1016³, which is the exponential form. Or it can also be written in arithmetic form as, 1016 × 1016 × 1016.

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 (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.

1. By Multiplication Method
2. Using a Formula
3. 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. 1016³ = 1016 × 1016 × 1016

Step 2: You get 1,048,053,056 as the answer. Hence, the cube of 1016 is 1,048,053,056.

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 1016 into two parts. Let (a = 1000) and (b = 16), so (a + b = 1016\).

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³).

Step 3: Calculate each term a³ = 1000³

3a²b = 3 × 1000² × 16

3ab² = 3 × 1000 × 16²

b³ = 16³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³)

(1000 + 16)³ = 1000³ + 3 × 1000² × 16 + 3 × 1000 × 16² + 16³)

(1016³ = 1,000,000,000 + 48,000,000 + 768,000 + 4,096)

(1016³ = 1,048,053,056)

Step 5: Hence, the cube of 1016 is 1,048,053,056.

To find the cube of 1016 using a calculator, input the number 1016 and use the cube function (if available) or multiply 1016 × 1016 × 1016. This operation calculates the value of 1016³, resulting in 1,048,053,056. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Input 1016.

Step 3: If the calculator has a cube function, press it to calculate 1016³.

Step 4: If there is no cube function on the calculator, simply multiply 1016 three times manually.

Step 5: The calculator will display 1,048,053,056.

• 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, such as 1³ = 1, 2³ = 8.

• Volume of a Cube: The amount of space a cube occupies, calculated as the side length cubed Side³.