What Does It Mean to Divide Numbers with Zeroes?
When you see a number like 4,500 or 120, you're looking at numbers with zeroes at the end!
These zeroes can make division easier if you know the special trick. We can "cancel out" zeroes to make the problem simpler before we divide.
The Magic Steps
1️⃣ Count the zeroes at the end of both numbers
2️⃣ Cancel equal zeroes from both numbers
3️⃣ Divide the remaining numbers
Let's Try Some Examples!
Example 1: 2,400 ÷ 60
1. Both numbers have zeroes: 2,400 has two, 60 has one
2. Cancel one zero from both: 240 ÷ 6
3. Now divide: 240 ÷ 6 = 40
When we cancel one zero from both numbers, we're actually dividing both by 10 (which is fair in division!). So 2,400 ÷ 60 becomes (2,400÷10) ÷ (60÷10) = 240 ÷ 6. The answer stays the same!
Example 2: 35,000 ÷ 700
1. Count the zeroes: 35,000 has three, 700 has two
2. Cancel two zeroes from both: 350 ÷ 7
3. Now divide: 350 ÷ 7 = 50
Let's verify: 700 × 50 = 35,000 ✔️
We multiplied the divisor (700) by our answer (50) and got back our original dividend (35,000), so we know it's correct!
Parent Tips 🌟
- Real-world practice: Use prices at the store (like $12.00 for 6 items) to practice dividing numbers with zeroes.
- Zero cancellation game: Write numbers with zeroes on cards and have your child match how many zeroes can be canceled.
- Calculator check: After solving, let your child check their work with a calculator to build confidence.