Multiplication patterns over increasing place values

๐Ÿ”ข 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.
    โœ… Example: 3 ร— 2 = 6
    ๐Ÿ‘‰ 3 ร— 20 = 60 (10 times bigger)

๐Ÿง  Add Zeros to Multiply by 10, 100, or 1,000

  • Just add zeros to the end of the number you multiply.
    โœจ 4 ร— 1 = 4
    ๐Ÿ‘ 4 ร— 10 = 40
    ๐Ÿ‘ 4 ร— 100 = 400

๐ŸŽฏ Patterns with Tens (ร—10)

  • Every time you multiply by 10, the product ends with one zero (0).
    โœ… 6 ร— 10 = 60
    โœ… 25 ร— 10 = 250

๐ŸŒŸ Patterns with Hundreds (ร—100)

  • Every time you multiply by 100, the product ends with two zeros (00).
    โœ… 7 ร— 100 = 700
    โœ… 42 ร— 100 = 4200

๐Ÿ† Patterns with Thousands (ร—1,000)

  • Every time you multiply by 1,000, the product ends with three zeros (000).
    โœ… 8 ร— 1,000 = 8,000
    โœ… 15 ร— 1,000 = 15,000

๐Ÿงฉ Compare the Pattern

MultiplicationPattern ChangeEffect
ร—10Add 1 zero10 times bigger ๐Ÿ”Ÿ
ร—100Add 2 zeros100 times bigger ๐Ÿ’ฏ
ร—1,000Add 3 zeros1,000 times bigger ๐Ÿงฎ

๐ŸŽจ Number Becomes โ€œLongerโ€ but Digits Stay Same

  • The digits stay unchanged, only zeros are added at the end.
    ๐ŸŸฃ 9 ร— 4 = 36
    ๐ŸŸฃ 9 ร— 400 = 3,600 (same digits 36 + 00)

๐Ÿš€ Real-Life Connections

  • Counting money ๐Ÿ’ฐ
    โ‚น5 ร— 10 notes = โ‚น50
    โ‚น5 ร— 100 notes = โ‚น500
  • Time and distance โฑ๏ธ๐Ÿ›ฃ
    1 minute ร— 100 = 100 minutes

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

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

6 ร— 8 = —–

60 ร— 8 = ——

600 ร— 8 = ——

6,000 ร— 8 =——

First, multiply:

ones ร— 8 = 48 ones
6 ร— 8 = 48

Now complete the pattern:

tens ร— 8 = 48 tens
60 ร— 8 = 480

hundreds ร— 8 = 48 hundreds
600 ร— 8 = 4,800

thousands ร— 8 = 48 thousands
6,000 ร— 8 = 48,000

Let’s practice!๐Ÿ–Š๏ธ