Multiplication patterns over increasing place values
key points :
๐ข Place Value Jumps Change the Product
- When one factor increases by 10, 100, or 1,000, the answer also becomes 10, 100, or 1,000 times bigger.
โ Example: 3 ร 2 = 6
๐ 3 ร 20 = 60 (10 times bigger)
๐ง Add Zeros to Multiply by 10, 100, or 1,000
- Just add zeros to the end of the number you multiply.
โจ 4 ร 1 = 4
๐ 4 ร 10 = 40
๐ 4 ร 100 = 400
๐ฏ Patterns with Tens (ร10)
- Every time you multiply by 10, the product ends with one zero (0).
โ 6 ร 10 = 60
โ 25 ร 10 = 250
๐ Patterns with Hundreds (ร100)
- Every time you multiply by 100, the product ends with two zeros (00).
โ 7 ร 100 = 700
โ 42 ร 100 = 4200
๐ Patterns with Thousands (ร1,000)
- Every time you multiply by 1,000, the product ends with three zeros (000).
โ 8 ร 1,000 = 8,000
โ 15 ร 1,000 = 15,000
๐งฉ Compare the Pattern
| Multiplication | Pattern Change | Effect |
|---|---|---|
| ร10 | Add 1 zero | 10 times bigger ๐ |
| ร100 | Add 2 zeros | 100 times bigger ๐ฏ |
| ร1,000 | Add 3 zeros | 1,000 times bigger ๐งฎ |
๐จ Number Becomes โLongerโ but Digits Stay Same
- The digits stay unchanged, only zeros are added at the end.
๐ฃ 9 ร 4 = 36
๐ฃ 9 ร 400 = 3,600 (same digits 36 + 00)
๐ Real-Life Connections
- Counting money ๐ฐ
โน5 ร 10 notes = โน50
โน5 ร 100 notes = โน500 - Time and distance โฑ๏ธ๐ฃ
1 minute ร 100 = 100 minutes
Learn with an example
Complete the pattern:
8 ร 6 =
8 ร 60 =
8 ร 600 =
8 ร 6,000 =
First, multiply:
8 ร 6 ones = 48 ones
8 ร 6 = 48
Now complete the pattern:
8 ร 6 tens = 48 tens
8 ร 60 = 480
8 ร 6 hundreds = 48 hundreds
8 ร 600 = 4,800
8 ร 6 thousands = 48 thousands
8 ร 6,000 = 48,000
Complete the pattern:
8 ร ____= 56
8 ร ____= 560
8 ร ____= 5,600
8 ร ____= 56,000
Find the first missing number:
8 ร 7 ones = 56 ones
8 ร 7 = 56
Now complete the pattern:
8 ร 7 tens = 56 tens
8 ร 70 = 560
8 ร 7 hundreds = 56 hundreds
8 ร 700 = 5,600
8 ร 7 thousands = 56 thousands
8 ร 7,000 = 56,000
๐ฅComplete the pattern:
6 ร 8 = —–
60 ร 8 = ——
600 ร 8 = ——
6,000 ร 8 =——
First, multiply:
6 ones ร 8 = 48 ones
6 ร 8 = 48
Now complete the pattern:
6 tens ร 8 = 48 tens
60 ร 8 = 480
6 hundreds ร 8 = 48 hundreds
600 ร 8 = 4,800
6 thousands ร 8 = 48 thousands
6,000 ร 8 = 48,000
Let’s practice!๐๏ธ

