Solve the arithmetic expression: 10.0001 + 9.9999 - 8.9995
Option D
Adding the first two numbers produces exactly 20.0000. Subtracting 8.9995 from 20.0000 gives an end result of 11.0005.
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Adding the first two numbers produces exactly 20.0000. Subtracting 8.9995 from 20.0000 gives an end result of 11.0005.
Rewrite y^5 as the product of the largest perfect square (y^4) and y. The square root of y^4 is y^2, bringing it outside the radical to get y^2*sqrt(y).
First simplify each radical: sqrt(12) is 2*sqrt(3) and sqrt(27) is 3*sqrt(3). Now that they have the same radicand, add them: 2*sqrt(3) + 3*sqrt(3) = 5*sqrt(3).
In the decimal number 0.06945, the digit 9 is located in the third position after the decimal point. This corresponds to the thousandths place, making its value 9/1000.
The scientific notation 3.14 * 10^6 signals shifting the decimal point precisely six places to the right side, translating logically to 3,140,000.
A fractional exponent of 1/2 is equivalent to taking the square root. The square root of 9 is 3, because 3 * 3 = 9.
To solve, express both sides with the same base. Since 16 is equal to 2^4, the equation becomes 2^x = 2^4. Thus, the exponents must be equal, making x = 4.
Count the number of zeroes in 10000 to find its power of 10. There are four zeroes, so 10000 is 10^4. Therefore, from 10^x = 10^4, x must be 4.
Since 9/4 is equivalent to the decimal 2.25, adding 2.25 to 1.75 correctly equals 4.0. Therefore, asserting that their sum equals 5 is entirely incorrect.
To determine how many times greater it is, divide 0.1 by 0.01. The result of 0.1 ÷ 0.01 is 10, meaning 0.1 is 10 times larger than 0.01.