1. **Problem Statement:** Help with questions 7 b), c), d), 8 b), and 9 a), b), c), d) related to divisibility by 4 and 8. 2. **Question 7: Halve the number twice to show divisibility by 4.** - The rule: A number is divisible by 4 if halving it twice results in a whole number. **7 b) Number: 48** - First halve: $48 \div 2 = 24$ - Second halve: $24 \div 2 = 12$ - Since 12 is whole, 48 is divisible by 4. **7 c) Number: 84** - First halve: $84 \div 2 = 42$ - Second halve: $42 \div 2 = 21$ - Since 21 is whole, 84 is divisible by 4. **7 d) Number: 124** - First halve: $124 \div 2 = 62$ - Second halve: $62 \div 2 = 31$ - Since 31 is whole, 124 is divisible by 4. 3. **Question 8 b): Is 1000 divisible by 8?** - Check last three digits: 1000 - $1000 \div 8 = 125$ exactly, so 1000 is divisible by 8. - Therefore, answer is **Yes**. 4. **Question 9 a): Underline numbers divisible by 4:** Numbers: (20) 54 (72) 100 386 404 934 2480 17 392 - Divisible by 4 means last two digits form a number divisible by 4. - 20 (divisible), 54 (no), 72 (yes), 100 (yes), 386 (no), 404 (yes), 934 (no), 2480 (yes), 17 (no), 392 (yes) - Underlined: (20), (72), 100, 404, 2480, 392 5. **Question 9 b): Circle numbers divisible by 8 from part a)** - Divisible by 8 means last three digits form a number divisible by 8. - Check each underlined number: - 20 (no, 20 ÷ 8 = 2.5) - 72 (yes, 72 ÷ 8 = 9) - 100 (no, 100 ÷ 8 = 12.5) - 404 (no, 404 ÷ 8 = 50.5) - 2480 (yes, 2480 ÷ 8 = 310) - 392 (yes, 392 ÷ 8 = 49) - Circled: 72, 2480, 392 6. **Question 9 c): Sort numbers into Venn diagram** - Multiples of 4 only: 20, 100, 404 - Multiples of 8 only: 72, 2480, 392 - Intersection (multiples of both 4 and 8): 72, 2480, 392 (since all multiples of 8 are also multiples of 4, intersection includes these) - Numbers not divisible by 4 or 8: 54, 386, 934, 17 7. **Question 9 d): Which region of the Venn diagram is empty?** - The area outside both circles is empty in the given diagram. **Final answers:** - 7 b) 48 ÷ 2 = 24, 24 ÷ 2 = 12 - 7 c) 84 ÷ 2 = 42, 42 ÷ 2 = 21 - 7 d) 124 ÷ 2 = 62, 62 ÷ 2 = 31 - 8 b) Yes, 1000 is divisible by 8 - 9 a) Underlined: 20, 72, 100, 404, 2480, 392 - 9 b) Circled: 72, 2480, 392 - 9 c) Venn diagram sorting as above - 9 d) Outside both circles is empty