Last updated on May 27th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 983.
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 983 can be written as 983³, which is the exponential form. Or it can also be written in arithmetic form as, 983 × 983 × 983.
In order to determine 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 you cube the numbers faster and more easily 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 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. 983³ = 983 × 983 × 983 Step 2: You get 949,862,087 as the answer. Hence, the cube of 983 is 949,862,087.
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 983 into two parts, as a and b. Let a = 980 and b = 3, so a + b = 983 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 980³ 3a²b = 3 × 980² × 3 3ab² = 3 × 980 × 3² b³ = 3³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (980 + 3)³ = 980³ + 3 × 980² × 3 + 3 × 980 × 3² + 3³ 983³ = 941,192,000 + 86,940 + 26,460 + 27 983³ = 949,862,087 Step 5: Hence, the cube of 983 is 949,862,087.
To find the cube of 983 using a calculator, input the number 983 and use the cube function (if available) or multiply 983 × 983 × 983. This operation calculates the value of 983³, resulting in 949,862,087. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 9, 8, and 3 Step 3: If the calculator has a cube function, press it to calculate 983³. Step 4: If there is no cube function on the calculator, simply multiply 983 three times manually. Step 5: The calculator will display 949,862,087.
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.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 983?
The cube of 983 is 949,862,087, and the cube root of 983 is approximately 9.942.
First, let’s find the cube of 983. We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number. So, we get 983³ = 949,862,087. Next, we must find the cube root of 983. We know that the cube root of a number ‘x’ is such that ³√x = y, where ‘x’ is the given number, and y is the cube root value of the number. So, we get ³√983 ≈ 9.942. Hence, the cube of 983 is 949,862,087, and the cube root of 983 is approximately 9.942.
If the side length of the cube is 983 cm, what is the volume?
The volume is 949,862,087 cm³.
Use the volume formula for a cube V = Side³. Substitute 983 for the side length: V = 983³ = 949,862,087 cm³.
How much larger is 983³ than 981³?
983³ - 981³ = 5,888,763.
First, find the cube of 983, which is 949,862,087. Next, find the cube of 981, which is 943,973,324. Now, find the difference between them using the subtraction method. 949,862,087 - 943,973,324 = 5,888,763. Therefore, 983³ is 5,888,763 larger than 981³.
If a cube with a side length of 983 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 983 cm is 949,862,087 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 983 means multiplying 983 by itself three times: 983 × 983 = 966,289, and then 966,289 × 983 = 949,862,087. The unit of volume is cubic centimeters (cm³), as we are calculating the space inside the cube. Therefore, the volume of the cube is 949,862,087 cm³.
Estimate the cube of 982.9 using the cube of 983.
The cube of 982.9 is approximately 949,862,087.
First, identify the cube of 983. The cube of 983 is 983³ = 949,862,087. Since 982.9 is only a tiny bit less than 983, the cube of 982.9 will be almost the same as the cube of 983. The cube of 982.9 is approximately 949,862,087 because the difference between 982.9 and 983 is very small. So, we can approximate the value as 949,862,087.
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, which equals 8. Perfect Cube: A number that is the cube of an integer. Cube Root: A number that, when multiplied by itself twice, gives the original number.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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