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 the cube of 988.
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 988 can be written as 988³, which is the exponential form. Or it can also be written in arithmetic form as, 988 × 988 × 988.
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 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 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. 988³ = 988 × 988 × 988 Step 2: You get 964,467,872 as the answer. Hence, the cube of 988 is 964,467,872.
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 988 into two parts. Let a = 900 and b = 88, so a + b = 988 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 900³ 3a²b = 3 × 900² × 88 3ab² = 3 × 900 × 88² b³ = 88³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (900 + 88)³ = 900³ + 3 × 900² × 88 + 3 × 900 × 88² + 88³ 988³ = 729,000,000 + 213,840,000 + 20,851,200 + 681,472 988³ = 964,467,872 Step 5: Hence, the cube of 988 is 964,467,872.
To find the cube of 988 using a calculator, input the number 988 and use the cube function (if available) or multiply 988 × 988 × 988. This operation calculates the value of 988³, resulting in 964,467,872. 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 8 and 8 Step 3: If the calculator has a cube function, press it to calculate 988³. Step 4: If there is no cube function on the calculator, simply multiply 988 three times manually. Step 5: The calculator will display 964,467,872.
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 kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
What is the cube and cube root of 988?
The cube of 988 is 964,467,872, and the cube root of 988 is approximately 9.970.
First, let’s find the cube of 988. We know that the cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number So, we get 988³ = 964,467,872 Next, we must find the cube root of 988 We know that the cube root of a number ‘x’, 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√988 ≈ 9.970 Hence the cube of 988 is 964,467,872, and the cube root of 988 is approximately 9.970.
If the side length of the cube is 988 cm, what is the volume?
The volume is 964,467,872 cm³.
Use the volume formula for a cube V = Side³. Substitute 988 for the side length: V = 988³ = 964,467,872 cm³.
How much larger is 988³ than 900³?
988³ – 900³ = 235,467,872.
First find the cube of 988³, that is 964,467,872 Next, find the cube of 900³, which is 729,000,000 Now, find the difference between them using the subtraction method. 964,467,872 – 729,000,000 = 235,467,872 Therefore, 988³ is 235,467,872 larger than 900³.
If a cube with a side length of 988 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 988 cm is 964,467,872 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 988 means multiplying 988 by itself three times: 988 × 988 = 976,144, and then 976,144 × 988 = 964,467,872. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 964,467,872 cm³.
Estimate the cube of 987 using the cube of 988.
The cube of 987 is approximately 964,467,872.
First, identify the cube of 988, The cube of 988 is 988³ = 964,467,872. Since 987 is only slightly less than 988, the cube of 987 will be almost the same as the cube of 988. The cube of 987 is approximately 964,467,872 because the difference between 987 and 988 is very small. So, we can approximate the value as 964,467,872.
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: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3. Perfect Cube: A perfect cube is a number that can be expressed as the cube of an integer. For example, 27 is a perfect cube because it is 3³.
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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