Question

scientific operations 55 100% the annual snail crawl is 5.2 x 10²mm. what is the best unit of measure of express this? metrics (equivalent) 1 meter 100 cm 1000 mm .001 km

Explanation:

Step1: Calculate the value in mm

First, we calculate \(5.2\times10^{2}\) mm. \(10^{2}=100\), so \(5.2\times100 = 520\) mm.

Step2: Convert mm to other units

• Convert to cm: Since \(1\) cm \( = 10\) mm, then \(520\div10=52\) cm.
• Convert to m: Since \(1\) m \( = 1000\) mm, then \(520\div1000 = 0.52\) m.
• Convert to km: Since \(1\) km \( = 1000000\) mm, then \(520\div1000000=0.00052\) km.

Among cm (52 cm), m (0.52 m), km (0.00052 km) and mm (520 mm), the value in cm (52 cm) or m (0.52 m) is more reasonable for expressing the annual snail crawl distance. But usually, for such a distance, centimeter or meter can be used. However, let's check the conversion again. Wait, the original value is \(5.2\times 10^{2}\) mm \( = 520\) mm. Since \(1\) meter \( = 1000\) mm, \(520\) mm is \(0.52\) meters, and \(1\) centimeter \( = 10\) mm, so \(520\) mm \( = 52\) cm. Comparing the units, centimeter or meter are better. But let's see the options (even though not given, but from the metric table). The best unit here, considering the magnitude, centimeter (cm) or meter (m). But let's re - evaluate: \(5.2\times10^{2}\) mm \(=520\) mm. If we convert to cm: \(520\div10 = 52\) cm. If we convert to m: \(520\div1000=0.52\) m. Both are reasonable, but maybe centimeter is more appropriate for a snail's crawl distance. Wait, maybe the question is about converting to a more appropriate unit. Let's do the conversion properly.

Wait, the problem says "the best unit of measure to express this". Let's calculate \(5.2\times10^{2}\) mm:

\(5.2\times10^{2}=520\) mm.

Now, convert to cm: \(520\) mm \(=\frac{520}{10}\) cm \( = 52\) cm.

Convert to m: \(520\) mm \(=\frac{520}{1000}\) m \(= 0.52\) m.

Convert to km: \(520\) mm \(=\frac{520}{1000000}\) km \(=0.00052\) km.

Among these, the value in cm (52 cm) or m (0.52 m) is more suitable. But usually, for a snail's crawl, centimeter is a good unit. However, let's check the calculation again. Wait, maybe the intended answer is to convert \(5.2\times 10^{2}\) mm to meters or centimeters. Let's see:

\(5.2\times10^{2}\) mm \( = 520\) mm. Since \(1\) meter \( = 1000\) mm, \(520\) mm \( = 0.52\) meters. So the best unit could be meter (m) or centimeter (cm). But let's see the metric table given: 1 meter = 100 cm = 1000 mm = 0.001 km. So \(5.2\times10^{2}\) mm \(= 520\) mm. If we want to express it in a unit that makes the number between 1 and 1000 (a more standard range for unit conversion), converting to centimeters: \(520\) mm \( = 52\) cm (number between 1 and 1000), converting to meters: \(0.52\) m (number less than 1), converting to kilometers: \(0.00052\) km (very small number). So the best unit is centimeter (cm) or meter (m). But maybe the answer is centimeter or meter. Wait, perhaps the question has a typo, but from the calculation, \(5.2\times 10^{2}\) mm \( = 520\) mm \( = 52\) cm \( = 0.52\) m. So the best unit is centimeter (cm) or meter (m). But let's check the original problem again. Maybe the intended conversion is to meters: \(5.2\times10^{2}\) mm \(=\frac{5.2\times 10^{2}}{10^{3}}\) m \(=5.2\times 10^{- 1}\) m \( = 0.52\) m. Or to centimeters: \(5.2\times10^{2}\) mm \(=\frac{5.2\times 10^{2}}{10}\) cm \(=5.2\times 10^{1}\) cm \( = 52\) cm.

Answer:

The best unit is centimeter (cm) or meter (m). If we consider the conversion, \(5.2\times10^{2}\) mm \( = 52\) cm (or \(0.52\) m), so the best unit can be centimeter (cm) or meter (m). (If we have to choose from the metric table, centimeter or meter. But maybe the answer is centimeter, as 52 cm is a reasonable value for a snail's annual crawl distance.)