1.
Which one of the following shows 13500000 in scientific notation?Note: ^ means the next number is an exponent.so:10^{3} = 10^3
Correct Answer
A. 1.35 x 10^7
Explanation
the decimal needs to be moved 7 places to the left to get to 1.35 - 7 left is written as 10^7 (positive)
2.
True or False?(-3)^{5} will give a negative answer
Correct Answer
A. True
Explanation
a negative number to an odd exponent will give a negative answer
3.
Use your calculator. Round to 2 decimal places. 35.6 3.2 x 4.5
Correct Answer
B. 4.45
Explanation
on the calculator: 35.6 / (3.2 x 4.5) =
4.
True or false?3^{-3} = 1 27
Correct Answer
A. True
Explanation
The given statement is false. The subtraction of 3 from 3 is equal to 0, not 1. Therefore, the correct answer is False.
5.
Write as a single power.(3^{2})(3^{3})
Correct Answer
C. 3^5
Explanation
The given expression is the product of two powers with the same base, 3. When multiplying powers with the same base, we add the exponents. In this case, the exponent of 3 is 5. Therefore, the simplified expression is 3^5.
6.
Which of the following is NOT written in scientific notation?
Correct Answer
D. 0.0321 x 10^4
Explanation
Scientific notation has the main number between 1 and 10. 0.0321 is less than 1.
7.
Find the value of x. Round to 2 decimal places.
Correct Answer(s)
A. 8.98
B. 7.21
Explanation
x = square root of (16 + 36)
8.
A square has an area of 36 m^{2}. What is the length of each side?
Correct Answer
C. 6 meters
Explanation
length of a square's side = square root of the area
9.
A square has an area of 36 m^{2}.What is the perimeter of the square?
Correct Answer
A. 24 meters
Explanation
perimeter = length of side x number of sides
10.
A square has an area of 36 m^{2}.What is the length of the diagonal?
Correct Answer
D. 8.49m
Explanation
diagonal = square root of (36 + 36)
11.
Evaluate:(4a^{2}b^{3}c^{4})(3ab^{2}c^{3})
Correct Answer
C. 12a^3b^5c^7
Explanation
4x3 = 12
a^2 x a = a^3
b^3 x b^2 = b^5
c^4 x c^ 3 = c^7
12.
Which of the following is the standard form of this number:1.44 x 10^{-5}
Correct Answer
D. 0.0000144
Explanation
negative exponent means decimal moves to the right 5 places
13.
4.5 x 10^{7} x 4.5 x 10^{3}
Correct Answer
A. 20.25 x 10^10
Explanation
4.5 x 4.5 = 20.25
add the exponents = 10^10
14.
2.3 x 10^{-5} x 3.4 x 10^{7} 1.8 x 10^{-4}Round to 2 decimal places
Correct Answer
D. 4.34 x 10^6
Explanation
(2.3 x 3.4)/1.8 = 4.34
Exponent:-5 + 7 - (-4) = 6
15.
Evaluate: 3a^{2}bIf: a=-4 and b=5
Correct Answer
B. 240
Explanation
The expression 3a2b can be simplified by substituting the given values of a and b, which are -4 and 5 respectively. So, the expression becomes 3 x (-4 x -4) x 5. When we simplify this expression, we get -240. Therefore, the correct answer is -240.