Question 22 of 29beginner💡 UnderstandVery Short1 mark

What are the possible last digits of cubes?

Correct Answer

Cubes can end with any digit from 0 to 9. Unlike squares which can only end with 0, 1, 4, 5, 6, or 9, cubes have no restriction on their last digit. Examples: 0³ = 0, 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512, 9³ = 729.

Exercise: Cubic Numbers | Q: 11 | (Page Page 13)
For More Understanding

Explanation

The chapter contrasts squares and cubes. While squares can only end with certain digits, cubes can end with any digit 0-9 because each digit 0-9 has a cube ending with a different digit, and all ending digits are covered.

Solution Steps

  1. Step 1: Calculate cubes of digits 0-9

  2. Step 2: Observe that all ending digits 0-9 are possible

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