1.
What is pi (3.14159265) to the power of pi?
Correct Answer
A. 36.4621596072
Explanation
When you raise the mathematical constant pi (π), which is approximately 3.14159265, to the power of itself, you get an approximate value of 36.4621596072. This is a mathematical calculation and the result is an irrational number, meaning it cannot be expressed as a simple fraction and has an infinite number of decimal places.
2.
What is the square root of pi?
Correct Answer
C. 1.77245385
Explanation
The square root of pi is approximately 1.77245385. This can be calculated by finding the square root of the value of pi, which is approximately 3.14159265. Taking the square root of this value gives us the answer of 1.77245385.
3.
4(1+1)= ________
Correct Answer
D. 8
Explanation
The given equation is 4(1+1). In order to solve it, we first need to simplify the expression inside the parentheses, which is 1+1. This equals 2. Then, we multiply 4 by 2, which gives us the final answer of 8.
4.
1.1111111111 x 2.2222222222= _________
Correct Answer
D. 2.4691358
Explanation
When multiplying two decimal numbers, you multiply the numbers as if they were whole numbers and then count the total number of decimal places in the original numbers. In this case, the original numbers have 10 decimal places combined (10 in the first number and 10 in the second number). So, when multiplying 1.1111111111 by 2.2222222222, the product will have 10 decimal places. The correct answer, 2.4691358, has 10 decimal places, which matches the explanation.
5.
If you have a cube with a volume of 73.560059, what is the length of the cube?
Correct Answer
B. 4.19
Explanation
The length of a cube can be determined by finding the cube root of its volume. In this case, the cube has a volume of 73.560059. By taking the cube root of this value, we find that the length of the cube is 4.19.
6.
1x0+1= __________.
Correct Answer
A. 1
Explanation
The given equation is 1 multiplied by 0, which equals 0. Adding 1 to 0 gives a final result of 1.
7.
3/33= __________
Correct Answer
C. 0.0909090909
Explanation
When we divide 3 by 33, we get a recurring decimal pattern of 0.0909090909. This means that the decimal 0.0909090909 repeats infinitely. Therefore, it is the correct answer to the given equation 3/33.
8.
2.82842712 i ________ by 2.82842712 i = -8
Correct Answer
A. X
Explanation
The equation 2.82842712i multiplied by 2.82842712i equals -8 can be represented as 2.82842712i^2 = -8. To solve for i, we need to find the square root of -8. The square root of -8 is not a real number, but it can be expressed as 2.82842712i. Therefore, the correct answer is "x," indicating that i is equal to 2.82842712.
9.
100+200+300+100+150x0+50+200+50 =?
Correct Answer
C. 1000
Explanation
The given equation involves addition and multiplication operations. Starting from left to right, we add the numbers 100, 200, 300, 100, 0, 50, 200, and 50. This gives us a sum of 1000. Therefore, the answer to the equation is 1000.
10.
(-10)x(-10)=?
Correct Answer
C. 100
Explanation
When multiplying two negative numbers, the result is always positive. In this case, (-10) multiplied by (-10) equals 100.