Nursing Elites

1. How will the number 89632 be written if rounded to the nearest hundred?

• A. 847.9
• B. 900
• C. 847.89
• D. 847.896

Correct answer: B

Rationale: Rounding the number 89632 to the nearest hundred means keeping only two digits before the decimal point. The digit in the hundredth place is the digit in the thousands place of the original number, which is 6. Since 6 is equal to or greater than 5, the digit in the hundredth place, which is 3, gets rounded up. Thus, the number 89632 rounded to the nearest hundred is 900. Choice A, 847.9, rounds the number to the nearest tenth, not hundredth. Choice C, 847.89, adds an extra decimal place which is not correct for rounding to the nearest hundred. Choice D, 847.896, adds more decimal places than necessary for rounding to the nearest hundred.

2. What is an exponent?

• A. A number that tells how many times to multiply
• B. A number that is multiplied
• C. A number that divides evenly into another number
• D. A number that represents the square of a number

Correct answer: A

Rationale: An exponent is a number that indicates how many times a base number is multiplied by itself. The correct answer (A) accurately defines an exponent as a multiplier that shows how many times a number should be multiplied by itself. Choice B is incorrect as it describes a factor rather than an exponent. Choice C is incorrect as it defines a divisor, not an exponent. Choice D is incorrect as it specifically refers to the square of a number, which is not a general definition of an exponent.

3. Solve this equation: 2x+8=0

• A. -4
• B. 3
• C. 5
• D. 0

Correct answer: A

Rationale: To solve 2 𝑥 + 8 = 0 2x+8=0: Subtract 8 from both sides: 2 𝑥 = − 8 2x=−8 Divide both sides by 2: 𝑥 = − 8 2 = − 4 x= 2 −8 ​ =−4 Therefore, the solution is 𝑥 = − 4 x=−4.

4. How will the number 847.89632 be written if rounded to the nearest hundredth?

• A. 847.90
• B. 900
• C. 847.89
• D. 847.896

Correct answer: A

Rationale: When rounding to the nearest hundredth, we look at the digit in the thousandth place, which is 8. Since the next digit, in the ten-thousandth place, is 9 (greater than or equal to 5), we round up the hundredth place digit. Therefore, 847.89632 rounded to the nearest hundredth is 847.90. Choice B (900) is incorrect as it does not round the number to the nearest hundredth. Choice C (847.89) is also incorrect as it drops the digit 6 in the ten-thousandth place. Choice D (847.896) does not round the number to the nearest hundredth as it retains the thousandth place digit 3.

5. Solve for x: 3(x - 1) = 2(3x - 9)

• A. x = 2
• B. x = 8/3
• C. x = -5
• D. x = 5

Correct answer: D

Rationale: To solve the equation 3(x - 1) = 2(3x - 9), first distribute and simplify both sides to get 3x - 3 = 6x - 18. Next, subtract 3x from both sides to get -3 = 3x - 18. Then, add 18 to both sides to obtain 15 = 3x. Finally, divide by 3 to find x = 5. Therefore, the correct answer is x = 5. Choices A, B, and C are incorrect because they do not represent the correct solution to the given equation after proper algebraic manipulation.

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