Problem 2 · 1989 AJHSME
Easy
Fractions, Decimals & Percents
place-value
210 + 4100 + 61000 =
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Answer: D — .246.
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Hint 1 of 3
Look at the denominators 10, 100, 1000 — those ARE the names of the decimal places. What do tenths, hundredths, thousandths look like written out?
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Hint 2 of 3
A fraction over a power of ten is already a decimal: the bottom tells you which column the top digit lives in.
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Hint 3 of 3
The digits 2, 4, 6 land in three different columns, so nothing collides — no adding needed.
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Approach: read each denominator as a decimal place
- The denominator names the column: /10 is the tenths place, /100 the hundredths, /1000 the thousandths. So 2/10 puts a 2 in the tenths column, 4/100 a 4 in the hundredths, 6/1000 a 6 in the thousandths.
- Because each digit sits in a separate column, you just write them in order: .246 — no carrying, no lining up.
- Trap to avoid: the off-answer .0246 comes from shoving all three digits one column too far right. Anchor on 2/10 = 0.2 (a 2 right after the point) and the rest follows.
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