Question

Write the number in standard form: 8 x 10 + 1x 1/10) - 2x 1/100).

Answer 1

To write the expression in standard form, perform the multiplications and subtractions, combine the results, convert to a fraction with a common denominator, combine the fractions, simplify, and reduce the fraction.

Step-by-step explanation:

To write the given expression in standard form, first perform the multiplications and subtractions:

1. 8 x 10 = 80
2. 1 x 1/10 = 1/10
3. 2 x 1/100 = 1/50

Now, combine the results:

80 + 1/10 - 1/50

To add or subtract fractions, all the fractions need to have a common denominator. The common denominator for 10 and 50 is 50. Convert 80 to a fraction with a denominator of 50:

80/1 x 50/50 = 4000/50

Now, the expression becomes:

4000/50 + 5/50 - 1/50

Combine the fractions:

(4000 + 5 - 1)/50

Simplify:

4004/50

Finally, reduce the fraction:

2002/25