What are the place values of the digit 4 in 3865.247 and the digit 3 in 1216.0753, and perform rounding operations on decimal numbers?

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.

$$8.9976 \approx 9.0$$

• The amount is $\boxed{\text{9.0 kg}}$.

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.

$$18.894 \approx 18.89$$

• The rounded number is $\boxed{\text{18.89}}$.

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.

$$19.2697 \approx 19.27$$

• The mass is $\boxed{\text{19.27 kg}}$.

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.

$$0.8992 \approx 0.899$$

• The rounded number is $\boxed{\text{0.899}}$.

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.

$$1.6739 \approx 1.674$$

• The length is $\boxed{\text{1.674 metres}}$.

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).

$$0.84 = \frac{84}{100}$$

Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4.

$$\frac{84 \div 4}{100 \div 4} = \frac{21}{25}$$

• The fraction is $\boxed{\frac{21}{25}}$.

9. Convert $\frac{7}{25}$ into a decimal.

Step 1: Divide the numerator by the denominator.

$$\frac{7}{25} = 7 \div 25$$ $$7 \div 25 = 0.28$$

• The decimal is $\boxed{\text{0.28}}$.

10. Convert 0.44 into percentages.

Step 1: Multiply the decimal by 100.

$$0.44 \times 100\% = 44\%$$

• The percentage is $\boxed{\text{44\%}}$.

11. What is 70% converted into decimal?

Step 1: Divide the percentage by 100.

$$70\% \div 100 = 0.70$$

• The decimal is $\boxed{\text{0.7}}$.

12. Work out 121.6427 + 802.3468

Step 1: Align the decimal points and add the numbers.

$$\begin{align*} &\quad 121.6427 \\ &+ 802.3468 \\ \hline &\quad 923.9895 \end{align*}$$

• The sum is $\boxed{\text{923.9895}}$.

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.

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