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Which number lies between (4.06) and (4.07)?

Answer and explanation

Correct answer: (4.065)

The direct answer is C: 4.065. To compare correctly, write both endpoints with three decimal places: 4.06 = 4.060 and 4.07 = 4.070. A number between them must be greater than 4.060 and less than 4.070. Option C, 4.065, satisfies both inequalities: \(4.060<4.065<4.070\). Option A, 4.059, is less than 4.060, so it is outside the interval. Option B, 4.070, equals the upper endpoint, so it is not strictly between the two numbers. Option D, 4.075, is greater than 4.070, so it is outside. Adding trailing zeros helps compare decimal places without changing a number. The word “between” usually means strictly greater and strictly smaller than the endpoints.

Related tags

Number-SystemsDecimal-RepresentationBetween-Decimals

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