Without finding the decimal representation, state whether the following rational numbers are terminating decimal or non-terminating decimals.

Foundation

Mathematics Foundation

Properties of Real Number

Recurring Decimal Number

Linear Equations in One Variable

Question

Without finding the decimal representation, state whether the following rational numbers are terminating decimal or non-terminating decimals. $- \frac{33}{20}$

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Given that

- \frac{33}{20}

Here 3 and 20 have no common factors and 33 and 20 are co-prime

for denominator = 20

= 5 \times 4

= 2 2 .5 1

Here

n = 2,m = 1

∴ the denominator is form of

2 n .5 m

∴

- \frac{33}{20}

is a terminating decimal