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:

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<reasoning>

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 \(16.9\):
\[
C = 16.9 - 7 \times 0.01 = 16.9 - 0.07 = 16.83
\]
</reasoning>

<answer>
Letter A represents the decimal 16.94

Letter B represents the decimal 17.04

Letter C represents the decimal 16.83
</answer>

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"Mathematics",
"Algebra",
"Decimals on Number Line"
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Answer:

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<reasoning>

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 \(16.9\):
\[
C = 16.9 - 7 \times 0.01 = 16.9 - 0.07 = 16.83
\]
</reasoning>

<answer>
Letter A represents the decimal 16.94

Letter B represents the decimal 17.04

Letter C represents the decimal 16.83
</answer>

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