Question

What is the value of one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand?

Answer 1

The value of one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand is 100.

Step-by-step explanation:

Given:

One-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand.

To Find:

The value of one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand.

Solution:

As given,one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand.

Writing in into a equation form.

$1000\times\frac{9}{10}\times\frac{8}{9} \times\frac{7}{8}\times\frac{6}{7} \times\frac{5}{6}\times\frac{4}{5} \times\frac{3}{4} \times\frac{2}{3} \times\frac{1}{2}$

The value of $1000\times\frac{9}{10}\times\frac{8}{9} \times\frac{7}{8}\times\frac{6}{7} \times\frac{5}{6}\times\frac{4}{5} \times\frac{3}{4} \times\frac{2}{3} \times\frac{1}{2}=1000\times\frac{1}{10}$

                                                                                            $=100$

The value of $1000\times\frac{9}{10}\times\frac{8}{9} \times\frac{7}{8}\times\frac{6}{7} \times\frac{5}{6}\times\frac{4}{5} \times\frac{3}{4} \times\frac{2}{3} \times\frac{1}{2}$  is 100.

Thus,the value of one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand is 100.

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Answer 2

Answer:

100 is the required value o  one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand.

Step-by-step explanation:

Explanation:

Given that, one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand.

• In mathematics, the word "of" is also regarded as one of the arithmetic operations, denoting multiplication between brackets.

• For instance, we must determine the third of thirty. We rewrite it mathematically as 1/3 of 30 = $\frac{1}{3}$× 30 = 10.

$\frac{1}{2}$ × $\frac{2}{3}$ × $\frac{3}{4}$ × $\frac{4}{5}$ × $\frac{5}{6}$ × $\frac{6}{7}$ × $\frac{7}{8}$ × $\frac{8}{9}$ × $\frac{9}{10}$×  1000

⇒  1000 × $\frac{1}{10}$ = 100

Final answer:

Hence, 100 is the required value of one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand.

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