Question

Rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter.

Answer 1

Answer:

(a). 2.251 cm , 2.349 cm, 2.295 cm

(b). 0.023 meters.

Step-by-step explanation:

(a). We are asked to to choose the options that shows the actual measurement of the rainfall.

Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.

Let us check our given choices one by one.

$2.251\text{ cm}\approx 2.3\text{ cm}$

$2.349\text{ cm}\approx 2.3\text{ cm}$

$2.352\text{ cm}\approx 2.4\text{ cm}$

$2.295\text{ cm}\approx 2.3\text{ cm}$

Therefore, the correct choices are 2.251 cm , 2.349 cm  and 2.295 cm.

(b) We know that 1 cm equals 0.01 meters.

To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.

$2.3\text{ cm}=2.3\text{ cm}\times \frac{0.01\text{ meters}}{\text{cm}}$

$2.3\text{ cm}=0.023\text{ meters}$

Therefore, the rounded measurement of rain would be 0.023 meters.