Question

identify the decimals labeled with the letters a, b, and c on the scale below.

letter a represents the decimal
letter b represents the decimal
letter c represents the decimal

Explanation:

Determine the scale interval

The distance between the labeled points \(16.9\) and \(17\) is:

$$ 17 - 16.9 = 0.1 $$

Counting the tick marks between \(16.9\) and \(17\), there are exactly \(10\) equal subdivisions. Therefore, each tick mark represents:

$$ \frac{0.1}{10} = 0.01 $$

Find the value of A

Point \(A\) is located \(4\) tick marks to the right of \(16.9\):

$$ A = 16.9 + 4 \times 0.01 = 16.9 + 0.04 = 16.94 $$

Find the values of B and C

Point \(B\) is located \(4\) tick marks to the right of \(17\):

$$ B = 17 + 4 \times 0.01 = 17.04 $$

Point \(C\) is located \(7\) tick marks to the left of \(16.9\):

$$ C = 16.9 - 7 \times 0.01 = 16.9 - 0.07 = 16.83 $$

Answer:

Letter A represents the decimal 16.94

Letter B represents the decimal 17.04

Letter C represents the decimal 16.83