Solve the following problems, showing all your working out.

Hey, good to see you again. Step 1: Rounding to the nearest 10. a) 31 + 78 Round 31 to the nearest 10: 30 Round 78 to the nearest 10: 80 30 + 80 = 110 b) 137 - 56 Round 137 to the nearest 10: 140 Round 56 to the nearest 10: 60 140 - 60 = 80 Step 2: Rounding to the nearest 100. a) 589 - 213 Round 589 to the nearest 100: 600 Round 213 to the nearest 100: 200 600 - 200 = 400 b) 621 + 273 Round 621 to the nearest 100: 600 Round 273 to the nearest 100: 300 600 + 300 = 900 Step 3: Filling in missing numbers for 583 + 294. 583 + 294 = 500 + 80 + 3 + 200 + 90 + 4 = 500 + 200 + 80 + 90 + 3 + 4 = 700 + 170 + 7 = 877 Step 4: Calculate and check using the opposite operation. a) 189 - 47 Calculation: 189 - 47 = 142 Check (addition): 142 + 47 = 189 b) 632 + 179 Calculation: 632 + 179 = 811 Check (subtraction): 811 - 179 = 632 Step 5: Mrs Mafaya's eggs. Total eggs initially: 103 (white) + 58 (brown) = 161 eggs Eggs given away: 161 (total) - 49 (left) = 112 eggs Step 6: Flow diagram. a) Write the rule for this flow diagram in words. The rule is: Multiply the input number by 5, then add 3 to the result. b) Use the flow diagram to fill in the missing values in the table. • For Input 1: (1 × 5) + 3 = 5 + 3 = 8 • For Input 2: (2 × 5) + 3 = 10 + 3 = 13 • For Input 3: (3 × 5) + 3 = 15 + 3 = 18 • For Input 4: (4 × 5) + 3 = 20 + 3 = 23 • For Input 5: (5 × 5) + 3 = 25 + 3 = 28 | Input number | 1 | 2 | 3 | 4 | 5 | |---------------|----|----|----|----|----| | Output number | 8 | 13 | 18 | 23 | 28 | Step 7: Fill in the missing numbers in the spidergram. The rule is: Add 2, then multiply by 3. • For Input 1: (1 + 2) × 3 = 3 × 3 = 9 • For Input 2: (2 + 2) × 3 = 4 × 3 = 12 • For Input 3: (3 + 2) × 3 = 5 × 3 = 15 • For Input 5: (5 + 2) × 3 = 7 × 3 = 21 • For Input 10: (10 + 2) × 3 = 12 × 3 = 36 Send me the next one 📸