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2023 MTAP
Saturday Program in Mathematics
GRADE 4 SESSION 2
Multiplication may be considered as repeated addition.
Division may be considered as repeated subtraction
9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 72 = 8 x 9
7 + 7 + 7 + 7 + 7 + 7 = 42 = 6 x 7
8 + 8 + 8 + 8 + 8 = 40 = 5 x 8
6 – 6 – 6 – 6 – 6 – 6 – 6 – 6 = 48/6 = 8
9 – 9 – 9 – 9 – 9 – 9 = 54/9 = 6
12 – 12 – 12 – 12 – 12 – 12 = 72/12 = 6
2
9
7
3
7
5
0
3
9
8
0
2
4
8
3
3
24 6
40 10
24 6
40 10
60 15
82 20.5
SUM AVERAGE
Commutativity of
multiplication 648
Associativity of
multiplication 1 440
Zero property 0
Distributivity of
multiplication over
subtraction 1 260
Associativity of
multiplication 10 200
PROPERTY USED ANSWER
Liza bought 3 x 15 = 45 mangoes.
The farmer used 300/12 = 25 bags for his eggplants
The average of George for the first quarter was (85 + 88 + 82 + 90 +
86 + 86 + 92)/7 = 609/7 = 87.
The average weight of the eight boys is 816/8 lb = 102 lb.
The vendor has 180/12 = 15 bags of oranges to sell.
There are 8 x 46 = 368 Grade 4 students in the school.
There are 16 numbers between 16 and 96 that are divisible by 5. 16:
20 25 30 35 40 45 50 55 60 65 70 75, 80, 85, 90, 95 : 96.
Judy has 3 x ₱1000 + 2 x ₱500 + 4 x ₱100 + 7 x ₱50 = ₱3000 +
₱1000 + ₱400 + ₱350 = ₱4750 in her purse.
(135 + 237) + 234 = 586
The largest 3-digit number is 999. 35 more than the largest 3-digit
number is 999 + 35 = 1034.
= ₱85, the cost of a toy car and ₱120, the cost of a toy doll
83 in English, 93 in Math, 73 in Filipino, 93 in Science, 83 in Music, 91 in PE,
and 93 in History
₱18, the cost of marking pen and ₱15, the cost of a ball pen
Jake picked 60 mangoes, Tom picked 45 mangoes and Phil picked 35
mangoes.
₱350 at first.
₱2 146 money left in the bank.
₱114
839 islands is Samar, Leyte and Masbate
₱1214 after her uncle gave her 350.
20 marbles left.
- End -

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  • 1. 2023 MTAP Saturday Program in Mathematics GRADE 4 SESSION 2
  • 2. Multiplication may be considered as repeated addition. Division may be considered as repeated subtraction
  • 3. 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 72 = 8 x 9 7 + 7 + 7 + 7 + 7 + 7 = 42 = 6 x 7 8 + 8 + 8 + 8 + 8 = 40 = 5 x 8 6 – 6 – 6 – 6 – 6 – 6 – 6 – 6 = 48/6 = 8 9 – 9 – 9 – 9 – 9 – 9 = 54/9 = 6 12 – 12 – 12 – 12 – 12 – 12 = 72/12 = 6
  • 5. 24 6 40 10 24 6 40 10 60 15 82 20.5 SUM AVERAGE
  • 6. Commutativity of multiplication 648 Associativity of multiplication 1 440 Zero property 0 Distributivity of multiplication over subtraction 1 260 Associativity of multiplication 10 200 PROPERTY USED ANSWER
  • 7. Liza bought 3 x 15 = 45 mangoes. The farmer used 300/12 = 25 bags for his eggplants The average of George for the first quarter was (85 + 88 + 82 + 90 + 86 + 86 + 92)/7 = 609/7 = 87.
  • 8. The average weight of the eight boys is 816/8 lb = 102 lb. The vendor has 180/12 = 15 bags of oranges to sell. There are 8 x 46 = 368 Grade 4 students in the school. There are 16 numbers between 16 and 96 that are divisible by 5. 16: 20 25 30 35 40 45 50 55 60 65 70 75, 80, 85, 90, 95 : 96.
  • 9. Judy has 3 x ₱1000 + 2 x ₱500 + 4 x ₱100 + 7 x ₱50 = ₱3000 + ₱1000 + ₱400 + ₱350 = ₱4750 in her purse. (135 + 237) + 234 = 586 The largest 3-digit number is 999. 35 more than the largest 3-digit number is 999 + 35 = 1034.
  • 10. = ₱85, the cost of a toy car and ₱120, the cost of a toy doll 83 in English, 93 in Math, 73 in Filipino, 93 in Science, 83 in Music, 91 in PE, and 93 in History ₱18, the cost of marking pen and ₱15, the cost of a ball pen
  • 11. Jake picked 60 mangoes, Tom picked 45 mangoes and Phil picked 35 mangoes. ₱350 at first. ₱2 146 money left in the bank.
  • 12. ₱114 839 islands is Samar, Leyte and Masbate ₱1214 after her uncle gave her 350. 20 marbles left.