Arithmetic - HSPT Math
Card 0 of 2932
What is the equivalent of 
%?
What is the equivalent of
Divide: 
Answer: 
Divide:
Answer:
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What is the equivalent of 
%?
What is the equivalent of
Divide: 
Answer: 
Divide:
Answer:
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Negative 37 is the square root of what number?
Negative 37 is the square root of what number?
The square root of a number is the number which, when squared - multiplied by itself - yields that number as its result. Recall that when two negative numbers are multiplied together they result in a positive numbers.
Therefore, negative 37 is the square root of
The square root of a number is the number which, when squared - multiplied by itself - yields that number as its result. Recall that when two negative numbers are multiplied together they result in a positive numbers.
Therefore, negative 37 is the square root of
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Which of the following is a negative number?
(I) 
(II) 
(III) 
Which of the following is a negative number?
(I)
(II)
(III)
(I) and (II) are both negative, since the product or quotient of a negative number and a positive number is negative.
The sum of a negative number and a positive number assumes the sign of the number with the greater absolute value. Since in (III), the negative number has the higher absolute value (200 versus 180), the sign of the sum is negative.
(I) and (II) are both negative, since the product or quotient of a negative number and a positive number is negative.
The sum of a negative number and a positive number assumes the sign of the number with the greater absolute value. Since in (III), the negative number has the higher absolute value (200 versus 180), the sign of the sum is negative.
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What is the equivalent of 
%?
What is the equivalent of
Divide: 
Answer: 
Divide:
Answer:
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What is the equivalent of 
%?
What is the equivalent of
Divide: 
Answer: 
Divide:
Answer:
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Myrtle gets 5 hours of sleep each night and takes a 3 hour nap every day. What percentage of the day does she spend asleep? (Round to the nearest percent.)
Myrtle gets 5 hours of sleep each night and takes a 3 hour nap every day. What percentage of the day does she spend asleep? (Round to the nearest percent.)
Given that Myrtle takes a 3 hour nap and gets 5 hours of sleep a night, she gets 8 hours of sleep per day out of a 24 hour day. 8 hours out of 24 hours is 33%. That is therefore the correct answer.
Given that Myrtle takes a 3 hour nap and gets 5 hours of sleep a night, she gets 8 hours of sleep per day out of a 24 hour day. 8 hours out of 24 hours is 33%. That is therefore the correct answer.
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Simplify the expression.
Simplify the expression.
Start with the terms in parentheses, using the order of operations. Find the least common denominator.
Add the fractions in parentheses.
Multiply the fractions and simplify.
Start with the terms in parentheses, using the order of operations. Find the least common denominator.
Add the fractions in parentheses.
Multiply the fractions and simplify.
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Fill in the blank with the proper sign.
Fill in the blank with the proper sign.
In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.
Therefore:
In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.
Therefore:
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What is the equivalent of 
%?
What is the equivalent of
To solve, divide:
Answer: 
To solve, divide:
Answer:
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What is 
written as a decimal?
What is
Divide by 100:
Answer: 
Divide by 100:
Answer:
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Which of these expressions is the greatest?
Which of these expressions is the greatest?
The easiest way to see that all four are equivalent is to convert each to a decimal product, noting that twenty percent and one-fifth are equal to 
, and twenty-five percent and one fourth are equal to 
.
One fourth of 0.2: 
One fifth of 0.25: 
Twenty-five percent of one fifth: 
Twenty percent of one fourth: 
The easiest way to see that all four are equivalent is to convert each to a decimal product, noting that twenty percent and one-fifth are equal to
One fourth of 0.2:
One fifth of 0.25:
Twenty-five percent of one fifth:
Twenty percent of one fourth:
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Express the product in simplest form:
Express the product in simplest form:
Rewrite the mixed fractions as improper fractions, cross-cancel, and multiply across:
Rewrite the mixed fractions as improper fractions, cross-cancel, and multiply across:
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What is 
divided by 
?
What is
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Fill in the blank with the proper sign.
Fill in the blank with the proper sign.
In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.
Therefore:
In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.
Therefore:
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Fill in the blank with the proper sign.
Fill in the blank with the proper sign.
In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.
Therefore:
In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.
Therefore:
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Express the product in simplest form:
Express the product in simplest form:
Rewrite the mixed fractions as improper fractions, cross-cancel, and multiply across:
Rewrite the mixed fractions as improper fractions, cross-cancel, and multiply across:
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Evaluate 3x3 + x2 if x = _–_2
Evaluate 3x3 + x2 if x = _–_2
When multiplying a negative number an odd number of times, the answer is negative. When multiplying a negative number an even number of times, the answer is positive. Order of operations also applies: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, from left to right. A mnemonic to remember the order of operations is “Please excuse my dear Aunt Sally.”
3(_–2)3 + (–_2)2
= 3(_–_8) + (4)
= _–_24 + 4
= _–_20
When multiplying a negative number an odd number of times, the answer is negative. When multiplying a negative number an even number of times, the answer is positive. Order of operations also applies: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, from left to right. A mnemonic to remember the order of operations is “Please excuse my dear Aunt Sally.”
3(_–2)3 + (–_2)2
= 3(_–_8) + (4)
= _–_24 + 4
= _–_20
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Evaluate.
Evaluate.
Multiplying a negative and a positive number creates a negative product:
Multiplying a negative and a positive number creates a negative product:
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Solve.
Solve.
A negative number multiplied by a positive number will always be negative.
A negative number multiplied by a positive number will always be negative.
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