Question

1. rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter. circle all the measurements below that could be the actual measurement of the rainfall. 2.251 cm 2.349 cm 2.352 cm 2.295 cm

Explanation:

To determine which measurements round to 2.3 cm to the nearest tenth, we use the rounding rule: look at the hundredth place. If the hundredth digit is 5 or more, we round up the tenth place; if it's less than 5, we round down.

Step 1: Analyze 2.251 cm

The hundredth digit is 5. When rounding to the nearest tenth, we look at the hundredth place (5). Since 5 ≥ 5, we round up the tenth place. The tenth place is 2, so 2 + 1 = 3. Thus, 2.251 cm rounds to 2.3 cm.

Step 2: Analyze 2.349 cm

The hundredth digit is 4. Since 4 < 5, we round down the tenth place. The tenth place remains 3. So, 2.349 cm rounds to 2.3 cm.

Step 3: Analyze 2.352 cm

The hundredth digit is 5. When rounding, we look at the hundredth place (5). Since 5 ≥ 5, we round up the tenth place. The tenth place is 3, so 3 + 1 = 4. Thus, 2.352 cm rounds to 2.4 cm, not 2.3 cm.

Step 4: Analyze 2.295 cm

The hundredth digit is 9. Since 9 ≥ 5, we round up the tenth place. The tenth place is 2, so 2 + 1 = 3. Thus, 2.295 cm rounds to 2.3 cm.

Answer:

The measurements that could be the actual rainfall are 2.251 cm, 2.349 cm, and 2.295 cm. So we circle 2.251 cm, 2.349 cm, and 2.295 cm.