Cube of 975

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 975 can be written as 975³, which is the exponential form. Or it can also be written in arithmetic form as, 975 × 975 × 975.

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 will help kids 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 in mathematics is 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. 975³ = 975 × 975 × 975 Step 2: You get 926,859,375 as the answer. Hence, the cube of 975 is 926,859,375.

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 975 into two parts, as 900 and 75. Let a = 900 and b = 75, so a + b = 975 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 75 3ab² = 3 × 900 × 75² b³ = 75³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 75)³ = 900³ + 3 × 900² × 75 + 3 × 900 × 75² + 75³ 975³ = 729,000,000 + 182,250,000 + 151,875,000 + 421,875 975³ = 926,859,375 Step 5: Hence, the cube of 975 is 926,859,375.

To find the cube of 975 using a calculator, input the number 975 and use the cube function (if available) or multiply 975 × 975 × 975. This operation calculates the value of 975³, resulting in 926,859,375. 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 7 and 5 Step 3: If the calculator has a cube function, press it to calculate 975³. Step 4: If there is no cube function on the calculator, simply multiply 975 three times manually. Step 5: The calculator will display 926,859,375.

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: A number that when multiplied by itself three times gives the original number. For example, the cube root of 8 is 2. Perfect Cube: A number that can be expressed as the cube of an integer. For instance, 27 is a perfect cube because it is 3³.