Question

Rainfall collected in a rain gauge was found to be (estimate) 7.4 cm when rounded to the nearest tenth of a centimeter. Choose all possible values that would have resulted to that estimate.

A) 7.0 cm
B) 7.1 cm
C) 7.2 cm
D) 7.3 cm

Answer 1

The values that would round to 7.4 cm when rounded to the nearest tenth are from 7.35 to 7.44 cm. This includes all decimal values starting at 7.35 up to but not including 7.45 cm.

Step-by-step explanation:

The rounding of rainfall measurements to the nearest tenth of a centimeter means looking at which decimal numbers would round up or down to 7.4 cm. When rounding to the nearest tenth, any measurement from 7.35 cm to less than 7.45 cm will round to 7.4 cm. Therefore, the possible values that would round to 7.4 cm when rounded to the nearest tenth are:

• 7.35 cm (this would round up to 7.4 because 5 is the cutoff for rounding up)
• 7.36 cm
• 7.37 cm
• 7.38 cm
• 7.39 cm
• 7.40 cm
• 7.41 cm
• 7.42 cm
• 7.43 cm
• 7.44 cm (this is the highest value that will still round down to 7.4)