Question 15 of 29beginner🔧 ApplyVery Short1 mark

If a number contains 3 zeros at the end, how many zeros will its square have at the end?

Correct Answer

If a number contains 3 zeros at the end, its square will have 6 zeros at the end. For example, 1000² = 1000000. Squaring doubles the number of trailing zeros.

Exercise: Patterns and Properties of Perfect Squares | Q: 3 | (Page Page 5)
For More Understanding

Explanation

The chapter explains that when a number ending with zeros is squared, the number of zeros doubles. If a number has n zeros at the end, its square has 2n zeros.

Solution Steps

  1. Step 1: A number with 3 zeros at the end can be written as k × 1000

  2. Step 2: (k × 1000)² = k² × 1000000

  3. Step 3: The square has 6 zeros at the end