Question

Without actually performing long division, find if 33/40 will have terminating or non terminating decimal expansion. give reason for your answer

Answer 1

Answer:

terminating decimal expansion

Step-by-step explanation:

we know

DENOMINATOR = FACTOR OF ONLY 2 AND 5

ONLY THEN TERMINATING

now if we find factors of

40

we get

40=2×2×2×5

so it will give terminating decimal expansion

we can cross check

33/40= 0.825

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Answer 2

Answer:

it is a terminating decimal

Step-by-step explanation:

as we can write 40

40=2x2x2x5

so,

                    33

             ---------------------

                 2x2x2x5

as the dinominator leave 2&5 so it is the terminating decimal