Decimal Places
1. The problem asks us to perform arithmetic operations on numbers and round the results to a specified number of decimal places (dp).
2. (1) Convert 21.17874 to 3dp.
Round 21.17874 to 3 decimal places: $$21.179$$
3. (3) Convert 15.0998 to 2dp.
Round 15.0998 to 2 decimal places: $$15.10$$
4. (5) Find the value of $$\frac{2.1947}{15.1478}$$ and round to 2dp.
Calculate: $$\frac{2.1947}{15.1478} \approx 0.1449$$
Rounded to 2dp: $$0.14$$
5. (7) Calculate $$\frac{22.83}{15.2} \times 16.7$$ and round to 3dp.
First, compute $$\frac{22.83}{15.2} \approx 1.5020$$
Then multiply: $$1.5020 \times 16.7 = 25.7334$$
Rounded to 3dp: $$25.733$$
6. (9) Calculate $$\frac{14.21 \times 22.84}{7.84 \times 3.213}$$ and round to 2dp.
Calculate numerator: $$14.21 \times 22.84 = 324.5564$$
Calculate denominator: $$7.84 \times 3.213 = 25.1819$$
Divide: $$\frac{324.5564}{25.1819} \approx 12.884$$
Rounded to 2dp: $$12.88$$
Final answers:
(1) 21.179
(3) 15.10
(5) 0.14
(7) 25.733
(9) 12.88