Name a number whose square and cube are both the same number?
Square numbers are the result of multiplying a number by itself. For example, 4 squared is 4 x 4 = 16. Cube numbers are the result of multiplying a number by itself three times. For example, 3 cubed is 3 x 3 x 3 = 27. Practice finding square and cube numbers to improve your math skills!
Square and Cube Numbers
Square Number: A number that can be represented as the result of multiplying a number by itself, denoted by x2. For example, 4 is a square number because 4×4=16 Cube Number: A number that can be represented as the result of multiplying a number by itself, twice. Denoted by x3. For example, 8 is a cube number because 8×8×8=512 Square Root: The number that when multiplied by itself gives the original number. For example, the square root of 4 is 2, because 2×2=4. The difference between two consecutive square numbers (e.g. 4 and 9) is always an odd number.
What is the difference between a square number and a cube number?
What strategies can we use to help us identify cube numbers from 1 to 125?
Can you think of any other numbers that are both square and cube numbers?
How can we use our knowledge of multiplication and square numbers to recognise cube numbers?
Brain break: Draw a banana juggling three oranges.
Question: What are the next three square and cube numbers after 1, 4, 9, and 16? Clues: • Square numbers are numbers multiplied by themselves, and cube numbers are numbers multiplied by themselves three times. • Square numbers follow a pattern of increasing by odd numbers: 1, 4 (1+3), 9 (4+5), 16 (9+7). • Cube numbers follow a pattern of increasing by even numbers: 1, 8 (2x4), 27 (3x9), 64 (4x16). In pairs: Select and solve one of the tasks: A. Work in pairs and write down the next three square and cube numbers. B. Work in pairs and explain your solution through a drawing.
What is a square number?
- A number divided by itself
- A number added to itself
- A number multiplied by itself
- A number subtracted from itself
Which of the following is a square number?
Work together in pairs: What is the square of the number 8?