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.
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You're on a roll — here are the answers to the questions: Task 5: Decimals 1. What is the place value of digit 4 in number 3865.247? The digit 4 is in the second decimal place. The place value is hundredths. 2. A teacher wrote the following number 1216.0753. What was the place value of digit 3 in the number? The digit 3 is in the fourth decimal place. The place value is ten thousandths. 3. A farmer bought 8.9976 kg of beans seeds. What was the amount of kilograms bought rounded off to the nearest tenth? Step 1: Identify the digit in the tenths place (first decimal place), which is 9. Step 2: Look at the digit immediately to its right (the hundredths place), which is 9. Step 3: Since 9 is 5 or greater, round up the tenths digit. When 9 is rounded up, it becomes 10, so we carry over 1 to the whole number part. 8.9976 ≈ 9.0 The amount is 9.0 kg. 4. Round off 18.894 to two decimal places. Step 1: Identify the digit in the hundredths place (second decimal place), which is 9. Step 2: Look at the digit immediately to its right (the thousandths place), which is 4. Step 3: Since 4 is less than 5, keep the hundredths digit as it is. 18.894 ≈ 18.89 The rounded number is 18.89. 5. A calf had a mass of 19.2697 kg. What is the mass of the calf rounded off to 2 decimal places? Step 1: Identify the digit in the hundredths place, which is 6. Step 2: Look at the digit immediately to its right (the thousandths place), which is 9. Step 3: Since 9 is 5 or greater, round up the hundredths digit. 19.2697 ≈ 19.27 The mass is 19.27 kg. 6. Round off 0.8992 to three decimal places. Step 1: Identify the digit in the thousandths place (third decimal place), which is 9. Step 2: Look at the digit immediately to its right (the ten thousandths place), which is 2. Step 3: Since 2 is less than 5, keep the thousandths digit as it is. 0.8992 ≈ 0.899 The rounded number is 0.899. 7. Ben had a string measuring 1.6739 metres long. What was the length of the string rounded off to 3 decimal places? Step 1: Identify the digit in the thousandths place, which is 3. Step 2: Look at the digit immediately to its right (the ten thousandths place), which is 9. Step 3: Since 9 is 5 or greater, round up the thousandths digit. 1.6739 ≈ 1.674 The length is 1.674 metres. 8. Convert 0.84 into fraction. Step 1: Write the decimal as a fraction with a denominator of 100 (since there are two decimal places). 0.84 = (84)/(100) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4. (84 ÷ 4)/(100 ÷ 4) = (21)/(25) The fraction is (21)/(25). 9. Convert (7)/(25) into a decimal. Step 1: Divide the numerator by the denominator. (7)/(25) = 7 ÷ 25 7 ÷ 25 = 0.28 The decimal is 0.28. 10. Convert 0.44 into percentages. Step 1: Multiply the decimal by 100. 0.44 × 100\% = 44\% The percentage is 44\%. 11. What is 70% converted into decimal? Step 1: Divide the percentage by 100. 70\% ÷ 100 = 0.70 The decimal is 0.7. 12. Work out 121.6427 + 802.3468 Step 1: Align the decimal points and add the numbers. & 121.6427 \\ &+ 802.3468 \\ & 923.9895 The sum is 923.9895. 13. Three parcels weigh 9.3645kg, 5.874kg and 8.756kg. What is their total mass? Step 1: Add the three masses, ensuring decimal points are aligned. & 9.3645 \\ & 5.8740 \\ &+