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=> Explore more Grade 6 Math Solutions here: Grade 6 Math Solutions
- Grade 6 Math Solutions on Pages 43, 44 in Textbook Creative Horizon - Exercise 13: Least Common Multiple. Least Common Multiple
- Grade 6 Math Solutions on Page 51 in Textbook Kite - Exercise 12: Common Factor and Greatest Common Factor
- Grade 6 Math Solutions on Page 37 in Textbook Knowledge Connection - Exercise 9: Signs of Divisibility
Quick Guide to Solving Grade 6 Math Exercises on Pages 41, 42 (Concise)
1. Solving Math Exercise 6 Volume 1 Pages 41, 42 Exercise 101
Among the following numbers, which are divisible by 3, which are divisible by 9? 187; 1347; 2515; 6534; 93258. Solution: - 187 has a sum of digits inside as 1 + 8 + 7 = 16 => 16 is not divisible by 3 => 187 is not divisible by 3 and 9 - 1347 has a sum of digits inside as 1 + 3 + 4 + 7 = 15 => 15 is divisible by 3, not divisible by 9 => 1347 is divisible by 3 and not divisible by 9 - 2515 has a sum of digits inside as 2 + 5 + 1 + 5 = 13 => 13 is not divisible by 3 => 2515 is not divisible by 3, not divisible by 9 - 6534 has a sum of digits inside as 6 + 5 + 3 + 4 = 18 => 18 is divisible by 3 and 9 => 6534 is divisible by 3 and 9 - 93258 has a sum of digits inside as 9 + 3 + 2 + 5 + 8 = 27 => 27 is divisible by 3 and 9 => 93258 is divisible by 3 and 9.
2. Solving Math Exercise 6 Volume 1 Pages 41, 42 Exercise 102
Given numbers: 3564;4352;6531;6570;1248
Solution:
3. Solving Math Exercise 6 Volume 1 Pages 41 42 Exercise 103
Do the following sums (differences) divisible by 3, divisible by 9? a) 1251 + 5316 b) 5436 − 1324 c) 1.2.3.4.5.6+27 Solution: a) 1251 + 5316 = 6567 => 6 + 5 + 6 + 7 = 24 => 1251 + 5316 is divisible by 3 but not by 9 b) 5436 − 1324 = 4112 => 4 + 1 + 1 + 2 = 8 => 5436 − 1324 is not divisible by 3 and 9
4. Solving Math Exercise 6 Volume 1 Pages 41, 42 Exercise Signs of Divisibility by 3, by 9 Exercise 104
Fill in the blanks ∗ to: a) 58 divisible by 3 b) 63 divisible by 9 c) 43* divisible by 9 d) 81 divisible by both 2, 3, 5, 9 (In some numbers, there may be multiple ∗, ∗ does not necessarily have to be replaced by the same digit).
Solution:
5. Solving Math Exercise 6 Volume 1 Pages 41, 42 Exercise 105
Using three out of four digits 4,5,3,0, form natural numbers with three digits so that: a) Divisible by 9 b) Divisible by 3 but not by 9 Solution: a) With three digits 4 + 5 + 0 = 9 divisible by 9 so natural numbers with three digits divisible by 9 are: 450; 405; 504; 540 b) With three digits 4 + 5 + 3 = 12 divisible by 3 but not by 9 so natural numbers with three digits divisible by 3 are: 543,534,453,435,345,354
6. Solving Exercise 106 Page 42 Math Grade 6 Textbook Volume 1
Write the smallest natural number with five digits such that the number: a) Is divisible by 3; b) Is divisible by 9. Solution: a) The smallest number with five digits divisible by 3 is: 10002. b) The smallest number with five digits divisible by 9 is: 10008.
7. Solving Grade 6 Math Exercise Signs of Divisibility by 3, by 9 Pages 41, 42 Exercise 107
Solution:
8. Solving Math Exercise 108 Page 42 Grade 6 Textbook Volume 1
A number whose sum of digits is divisible by 9 (by 3) with a remainder of m, then the number is also divisible by 9 (by 3) with a remainder of m. Example: The number 1543 has a sum of digits equal to: 1+5+4+3=13. The number 13 divided by 9 has a remainder of 4 divided by 3 has a remainder of 1. Therefore, the number 1543 divided by 9 has a remainder of 4, divided by 3 has a remainder of 1.
Solution:9. Solving Exercise 109 Page 41, 42 Math Grade 6 Volume 1
Let m be the remainder of a when divided by 9. Fill in the blanks:
Solution:
10. Solving Exercise 110 Page 42 Math Grade 6 Textbook Volume 1
In the multiplication a . b = c, let: m be the remainder of a when divided by 9, n be the remainder of b when divided by 9, r be the remainder of the product m . n when divided by 9, d be the remainder of c when divided by 9. Fill in the blanks then compare r and d in each case below:
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In this document, Grade 6 students can thoroughly grasp detailed content about the signs of divisibility by 3, by 9, and devise methods to quickly and easily recognize and remember these signs.
Furthermore, to support their learning and achieve the best results in math, students can review the section Solving Grade 6 Math Problems Volume 1 Pages 38, 39 previously solved or preview the section Solving Grade 6 Math Problems Volume 1 Pages 44, 45 to enhance their understanding of Grade 6 Math.
