Question

which of the following number has terminating decimal expressins 11/700. 91/2100. 343/2qube×5qube×7qube

Answer 1

Given: Three rational numbers 11/700, 91/2100,  343/ 2³ ×5³×7³

To find: which of the following number has terminating decimal expressions?

Solution:

• We know that the divisor of the forms 2^n x 5^m always form a terminating decimal number. Let us simplify the expressions and find if the expansion have a terminating decimal expansion.  

• Now taking numbers one by one:

• 11/700

                   11/7 x 2 x 5 x 5 x 2

                   This contains power of 2 in the denominator. Hence, the decimal expansion is terminating.

• 91/2100

                   91/3 x 7 x 100

                   This contains power of 3 in the denominator. Hence, the decimal expansion is non- terminating.

• 343/ 2³ ×5³×7³

                   This contains power of 3 in the denominator. Hence, the decimal expansion is non- terminating.

Answer:

              So 11/700 is terminating number.

Answer 2

Answer:

Given: Three rational numbers 11/700, 91/2100,  343/ 2³ ×5³×7³

To find: which of the following number has terminating decimal expressions?

Solution:

We know that the divisor of the forms 2^n x 5^m always form a terminating decimal number. Let us simplify the expressions and find if the expansion have a terminating decimal expansion.  

Now taking numbers one by one:

11/700

                   11/7 x 2 x 5 x 5 x 2

                   This contains power of 2 in the denominator. Hence, the decimal expansion is terminating.

91/2100

                   91/3 x 7 x 100

                   This contains power of 3 in the denominator. Hence, the decimal expansion is non- terminating.

343/ 2³ ×5³×7³

                   This contains power of 3 in the denominator. Hence, the decimal expansion is non- terminating.

Answer:

              So 11/700 is terminating number.

꧁༒BRAINLYVIRAT187006༒꧂

brainlyvirat187006 • Ambitious