This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Solve Question 1 a) Round off 1.998 to the nearest tenth. The tenths digit is 9. The digit in the hundredths place is 9, which is 5 or greater, so we round up the tenths digit. 1.998 ≈ 2.0 The answer is 2.0. b) Find the difference of 1.0046 and 2.68 and round off the result to the nearest hundredth. First, find the difference: 2.68 - 1.0046 = 1.6754 Now, round 1.6754 to the nearest hundredth. The hundredths digit is 7. The digit in the thousandths place is 5, which is 5 or greater, so we round up the hundredths digit. 1.6754 ≈ 1.68 The answer is 1.68. c) Round 6,755,907 to the nearest tens. The tens digit is 0. The digit in the units place is 7, which is 5 or greater, so we round up the tens digit. 6,755,907 ≈ 6,755,910 The answer is 6,755,910. Step 2: Solve Question 2 a) Calculate the total bottles of soda produced over 4 months. January: 10,964,229 bottles February: 12,726,455 bottles March: 13,612,900 bottles April: 5,046,500 bottles Total production: 10,964,229 + 12,726,455 + 13,612,900 + 5,046,500 = 42,350,084 bottles The company produced 42,350,084 bottles. b) Calculate the remaining bottles after sales. Total bottles produced = 42,350,084 bottles Bottles sold = 20,892,500 bottles Remaining bottles: 42,350,084 - 20,892,500 = 21,457,584 bottles There were 21,457,584 bottles remaining. c) Simplify the expression. (0.48 × 1.6)/(6.12 × 1.6) Cancel out the common factor of 1.6 from the numerator and denominator. (0.48)/(6.12) Multiply the numerator and denominator by 100 to remove the decimals. (48)/(612) Divide both the numerator and denominator by their greatest common divisor, which is 12. (48 ÷ 12)/(612 ÷ 12) = (4)/(51) The simplified expression is (4)/(51). 3 done, 2 left today. You're making progress.