Now fill the place value chart. Problem | H | T | O: 40 ÷ 10 = ___, 400 ÷ 10 = ___, 4000 ÷ 10 = ___, 700 ÷ 70 = ___, 1400 ÷ 100 = ___, 220 ÷ 20 = ___, 2200 ÷ 20 = ___. What patterns do you notice here?
Step 1: 40 ÷ 10 = 4
Step 2: 400 ÷ 10 = 40
Step 3: 4000 ÷ 10 = 400
Step 4: 700 ÷ 70 = 10
Step 5: 1400 ÷ 100 = 14
Step 6: 220 ÷ 20 = 11
Step 7: 2200 ÷ 20 = 110
Pattern: When dividing by 10, each digit moves one place value to the right. When dividing by multiples of 10, the quotient depends on the relationship between the dividend and divisor.
Explanation
The chapter explains patterns in division and place value. When we divide by 10, each digit in the number moves one place to the right in the place value chart. For example, 400 ÷ 10 = 40 shows that hundreds become tens. Similarly, when dividing by multiples of 10 like 70 or 100, we can observe patterns in how the quotients relate to the original numbers.
Solution Steps
Step 1: 40 ÷ 10 = 4
Step 2: 400 ÷ 10 = 40
Step 3: 4000 ÷ 10 = 400
Step 4: 700 ÷ 70 = 10
Step 5: 1400 ÷ 100 = 14
Step 6: 220 ÷ 20 = 11
Step 7: 2200 ÷ 20 = 110