๐Ÿงฎ Multiplication Tables from 6 to 10

A simple, fun way to memorize: the complement to 10 and the finger method

Math lesson ยท Primary school

๐ŸŽฏGoals

1Let's recall the tables

ร—6ร—7ร—8ร—9ร—10
6ร—1=67ร—1=78ร—1=89ร—1=910ร—1=10
6ร—2=127ร—2=148ร—2=169ร—2=1810ร—2=20
6ร—3=187ร—3=218ร—3=249ร—3=2710ร—3=30
6ร—4=247ร—4=288ร—4=329ร—4=3610ร—4=40
6ร—5=307ร—5=358ร—5=409ร—5=4510ร—5=50
6ร—6=367ร—6=428ร—6=489ร—6=5410ร—6=60
6ร—7=427ร—7=498ร—7=569ร—7=6310ร—7=70
6ร—8=487ร—8=568ร—8=649ร—8=7210ร—8=80
6ร—9=547ร—9=638ร—9=729ร—9=8110ร—9=90
6ร—10=607ร—10=708ร—10=809ร—10=9010ร—10=100
๐Ÿ’ก There are two simple methods to remember them: the complement to 10 and the finger method.

2Method 1: The complement to 10

The complement to 10 of a number is what we add to it to get 10. Example: the complement of 8 is 2, and of 7 is 3.

Example: let's calculate 8 ร— 7.

8 ร— 7 complement 2 complement 3
  1. I find the complement to 10 of each number: 8 โ†’ 2 and 7 โ†’ 3.
  2. I multiply the complements: 2 ร— 3 = 6. I write it in the ones place.
  3. I subtract the other number's complement from one number: 8 โˆ’ 3 = 5 (or 7 โˆ’ 2 = 5). I write it in the tens place.
8 ร— 7 = 56 = 56 โœ”
โš ๏ธ If the product of the complements is more than 9 (like 6 ร— 7: complements 4 and 3 โ†’ 12), keep the tens and add: 6 โˆ’ 3 = 3 tens, so 30 + 12 = 42.

3Method 2: The fingers โœ‹

Number the fingers of each hand from 6 to 10: thumb = 6, index = 7, middle = 8, ring = 9, pinky = 10.

Example: let's calculate 8 ร— 7. Touch finger 7 of one hand to finger 8 of the other hand.

10 9 8 7 6 6 7 8 9 10 Hand 7: 3 fingers upHand 8: 2 fingers up
  1. I count the folded fingers (the touching ones and those below) on both hands: 2 + 3 = 5 โ†’ 5 tens.
  2. I multiply the raised fingers of both hands: 3 ร— 2 = 6 โ†’ 6 ones.
  3. I write the result: 5 tens and 6 ones.
8 ร— 7 = 56 = 56 โœ”

4Exercises

Exercise 1: Complete using the complement-to-10 method

9 ร— 8complements: __ and __
8 ร— 8complements: __ and __
9 ร— 7complements: __ and __
9 ร— 9complements: __ and __

Exercise 2: I use my fingers โœ‹

  1. 7 ร— 7 : folded = , raised = , result =
  2. 9 ร— 8 : folded = , raised = , result =
  3. 8 ร— 6 : folded = , raised = , result =

Exercise 3: True or false?

  1. 8 ร— 7 = 54  
  2. 6 ร— 9 = 54  
  3. 7 ร— 7 = 49  
  4. 9 ร— 8 = 81  

Exercise 4: Word problem ๐Ÿ“š

Ahmed buys 8 boxes of pencils. Each box has 7 pencils. How many pencils did he buy?

Exercise 5: Challenge ๐Ÿ†

Fill in: 6 ร— = 48    9 ร— = 63    ร— 8 = 72

๐Ÿ”‘ Answer key (for teacher or checking)

1: 9ร—8: complements 1 and 2 โ†’ 72 | 8ร—8: 2 and 2 โ†’ 64 | 9ร—7: 1 and 3 โ†’ 63 | 9ร—9: 1 and 1 โ†’ 81
2: 7ร—7: folded 2+2=4, raised 3ร—3=9 โ†’ 49 | 9ร—8: folded 4+3=7, raised 1ร—2=2 โ†’ 72 | 8ร—6: folded 3+1=4, raised 2ร—4=8 โ†’ 48
3: false (56) | true | true | false (72)
4: 8 ร— 7 = 56 pencils
5: 8 | 7 | 9

โญRemember