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Question

The length of plant cell A is  meter. The length of plant cell B is 0.000004 meter. How many times greater is plant cell A’s length than plant cell B’s length.

hintHint:

Write both the lengths as the same powers of base 10 and then compare.

The correct answer is: 20


    Complete step by step solution:
    Length of plant A cell = 8 cross times 10 to the power of negative 5 end exponent equals 0.00008 straight m
    Length of plant B cell = 0.000004m
    On dividing length of plant A by plant B, we have fraction numerator 0.00008 over denominator 0.000004 end fraction
    not stretchy rightwards double arrow fraction numerator 80 cross times 10 to the power of negative 6 end exponent over denominator 4 cross times 10 to the power of negative 6 end exponent end fraction (write both numerator and denominator as same powers of base 10)
    On cancelling 10-6 on numerator and denominator, we have
    not stretchy rightwards double arrow 80 over 4 equals 20
    Hence, the length of plant A cell is 20 times greater than the length of plant B cell.

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