repeating decimals can be expressed as fractions which of the following represents the decimal 07777 as a fraction
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HESI A2

HESI A2 Math Practice

1. Repeating decimals can be expressed as fractions. Which of the following represents the decimal 0.7777... as a fraction?

Correct answer: D

Rationale: To express the repeating decimal 0.7777... as a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point to the right gives: 10x = 7.7777... Subtracting the original equation from the new equation eliminates the repeating decimal: 10x - x = 7.7777... - 0.7777... 9x = 7 x = 7/9. Therefore, the decimal 0.7777... can be expressed as the fraction 7/9. Choices A, B, and C are incorrect as they do not accurately represent the decimal 0.7777... when converted to a fraction.

2. What is another word for toxin?

Correct answer: D

Rationale: The correct answer is D, Poison. A toxin is a harmful substance that can cause illness or death, and poison is a synonym commonly used to refer to such substances. Choices A, B, and C are incorrect because impurity refers to something being dirty or unclean, an element is a pure substance that cannot be broken down further, and a remedy is a solution or treatment for a problem, not a harmful substance like a toxin.

3. Select the word that makes the following sentence grammatically correct: 'Tracey wore her hair in a French braid, ____ was the style at the time.'

Correct answer: D

Rationale: The correct answer is 'which' as it correctly introduces a defining clause describing the style of hair Tracey wore. 'Which' is used to provide additional information about the noun 'French braid' and helps specify the particular style among others. 'Among' (choice A) is incorrect as it is used to show a relation of one thing to many others. 'It' (choice B) is incorrect as it does not serve as a relative pronoun to introduce a clause. 'That' (choice C) is incorrect as it is not the most suitable relative pronoun to introduce a non-restrictive clause in this context.

4. The force per unit area exerted against a surface by the weight of air above that surface in the Earth's atmosphere is the ______.

Correct answer: A

Rationale: Atmospheric pressure is the correct term for the force per unit area exerted against a surface by the weight of air above that surface in the Earth's atmosphere. It is commonly measured in units such as pascals, millibars, or inches of mercury. Barometric density and aneroid pressure are not accurate descriptions for this phenomenon. Barometric density refers to the density of the atmosphere at a particular location, while aneroid pressure is linked to a type of barometer but not a comprehensive term for the force exerted by the weight of air.

5. What punctuation is needed in the following sentence to make it correct? Do not be afraid to ask questions in his class, he is very approachable and explains things well.

Correct answer: B

Rationale: The correct punctuation needed in the given sentence is a comma after 'class.' This comma is necessary to separate the two independent clauses 'Do not be afraid to ask questions in his class' and 'he is very approachable and explains things well.' Commas are used to separate independent clauses when they are joined by a coordinating conjunction like 'and.' Choice A, 'Hyphen,' is incorrect as a hyphen is not needed to connect any words in the sentence. Choice C, 'Apostrophe,' is incorrect as there is no possession or contraction being indicated in the sentence that requires an apostrophe. Choice D, 'Semicolon,' is incorrect as a semicolon is not used to join two independent clauses in this context; a comma followed by a coordinating conjunction is more appropriate.

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