Cube of -1.5

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 multiplying a negative number by itself three times results in a negative number. The cube of -1.5 can be written as (-1.5)^3, which is the exponential form. Or it can also be written in arithmetic form as -1.5 × -1.5 × -1.5.

To calculate whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a^3), 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. By Multiplication Method Using a Formula 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 multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts. Step 1: Write down the cube of the given number. (-1.5)^3 = -1.5 × -1.5 × -1.5 Step 2: Calculate the product. First, multiply -1.5 × -1.5 = 2.25 Next, multiply 2.25 × -1.5 = -3.375 Hence, the cube of -1.5 is -3.375.

The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3. Step 1: Split the number -1.5 into two parts, as -1 and -0.5. Let a = -1 and b = -0.5, so a + b = -1.5 Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 Step 3: Calculate each term a^3 = (-1)^3 = -1 3a^2b = 3 × (-1)^2 × -0.5 = -1.5 3ab^2 = 3 × -1 × (-0.5)^2 = -0.75 b^3 = (-0.5)^3 = -0.125 Step 4: Add all the terms together: (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 (-1 + -0.5)^3 = -1 + (-1.5) + (-0.75) + (-0.125) (-1.5)^3 = -3.375 Step 5: Hence, the cube of -1.5 is -3.375.

To find the cube of -1.5 using a calculator, input the number -1.5 and use the cube function (if available) or multiply -1.5 × -1.5 × -1.5. This operation calculates the value of (-1.5)^3, resulting in -3.375. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input -1.5 Step 3: If the calculator has a cube function, press it to calculate (-1.5)^3. Step 4: If there is no cube function on the calculator, simply multiply -1.5 three times manually. Step 5: The calculator will display -3.375.

The cube of any negative number is always negative, while the cube of any positive number is always positive. 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: It is 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, 2^3 represents 2 × 2 × 2 equals 8. Negative Numbers: Numbers less than zero are called negative numbers. When multiplied an odd number of times, they result in a negative product. Volume: The amount of space occupied by a 3-dimensional object, calculated as the cube of its side length for a cube.