| Problem Number | Expression to Solve |
| 1. | $\sqrt{0.04}$
|
| 2. | $\sqrt{0.0009}$
|
| 3. | $\sqrt{0.0025}$
|
| 4. | $\sqrt{2.25}$
|
| 5. | $\sqrt{6.76}$
|
| 6. | $\sqrt{0.0625}$
|
| 7. | $\sqrt{12.96}$
|
| 8. | $\sqrt{0.0081}$
|
| 9. | $\sqrt{15.21}$
|
| 10. | $\sqrt{0.36}$
|
When finding the square root of a decimal, it can be helpful to convert the number into a fraction first. For example, for problem #1:
$\sqrt{0.04} = 0.2$
Explanation: The square root of 4 is 2. Since 0.04 has two decimal places, the answer must have one ($0.2 \times 0.2 = 0.04$).
$\sqrt{0.0009} = 0.03$
Explanation: The square root of 9 is 3. Since 0.0009 has four decimal places, the answer must have two ($0.03 \times 0.03 = 0.0009$).
$\sqrt{0.0025} = 0.05$
Explanation: The square root of 25 is 5. Since 0.0025 has four decimal places, the answer must have two.
$\sqrt{2.25} = 1.5$
Explanation: Think of this as $\sqrt{225}$, which is 15. Because there are two decimal places in 2.25, we move the decimal in 15 back one spot to get 1.5.
$\sqrt{6.76} = 2.6$
Explanation: The square root of 676 is 26. Following the decimal rule (2 places become 1), the result is 2.6.
$\sqrt{0.0625} = 0.25$
Explanation: The square root of 625 is 25. Since 0.0625 has four decimal places, the answer needs two.
$\sqrt{12.96} = 3.6$
Explanation: The square root of 1296 is 36. Two decimal places in the problem mean one decimal place in the answer.
$\sqrt{0.0081} = 0.09$
Explanation: The square root of 81 is 9. Since the original number has four decimal places, the answer must have two.
$\sqrt{15.21} = 3.9$
Explanation: The square root of 1521 is 39. Adjusting for the two decimal places gives us 3.9.
$\sqrt{0.36} = 0.6$
Explanation: The square root of 36 is 6. With two decimal places in the problem, the answer has one.