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A digit d makes the statement 0.d5 greater than 0.35 and less than 0.65, where 0.d5 means a decimal with d in the tenths place and 5 in the hundredths place.
How many values of d (0-9) work?

Class 6Comparing DecimalsDecimals
  • A1
  • B2
  • C4
  • D3

Step-by-Step Solution

We need 0.35 < 0.d5 < 0.65, so the tenths digit d must give a value between 0.35 and 0.65. Try each: d=4 gives 0.45 (yes), d=5 gives 0.55 (yes), d=3 gives 0.35 (not greater), d=6 gives 0.65 (not less). So d = 4 or 5, that is 2 values.
Answer: B) 2

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