HSPT Math : Arithmetic

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #281 : Concepts

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To add decimals, first add zeros to the necessary terms so they all have the same number of places to the right of the decimal point.

Now, temporarily drop the decimal and add the numbers as if they were whole numbers.

Finally, add the decimal place back in, in the same place you removed it from. In this case, we originally modified our numbers so they all had 3 numbers to the right of the decimal, so we will add the decimal back to the exact same place. Thus, our answer is:

 

Example Question #282 : Concepts

Add:  

Possible Answers:

Correct answer:

Explanation:

Rewrite the problem so that the tenths, hundredths, and thousandths digits align. Use zeros as placeholders and solve.

Example Question #283 : Concepts

Which of the following is the sum of nine tenths and nineteen thousandths?

Possible Answers:

The correct response is not given in the other choices.

Correct answer:

Explanation:

Nine tenths is equal to 0.9; nineteen thousandths is equal to 0.019. Add them, rewriting 0.9 as 0.900:

     

     

Example Question #176 : Decimals

Add:  

Possible Answers:

Correct answer:

Explanation:

Ensure that each digit is added to the correct digit.

Add three zeros at the end of  as placeholders.

Add the tenths place with the tenths place (in this case ), hundredth place with the hundredth place (in this case )  , thousandth place with thousandth place (in this case ), and ten thousandth place with ten thousandth place (in this acase )

Example Question #282 : Concepts

Add 

Possible Answers:

Correct answer:

Explanation:

Add the placeholder for the hundredths place after .

Rewrite the problem:

Add the hundredths place.

Add the tenths place.

Combine the numbers.

The decimal place is two places from the right.

The correct answer is:  

Example Question #284 : Concepts

Add the decimals:  

Possible Answers:

Correct answer:

Explanation:

Be careful not to misalign and add the wrong digits.  Add placeholders to the end of the decimals so that we can see the tenths and hundreds places.

Add the numbers in the hundredth place.

Add the numbers in the tenths place.

Add the ones digits.

Combine the numbers.

The answer is:  

Example Question #285 : Concepts

Define an operation  on the set of real numbers as follows:

If , then evaluate .

Possible Answers:

Correct answer:

Explanation:

,

so

.

If

, then

Example Question #882 : Hspt Mathematics

There is a regular sliced pizza (8 slices) that only has 6 slices left.  If someone ate 4 more, what are the remaining slices in a decimal form?

Possible Answers:

Correct answer:

Explanation:

The starting amount of slices is  out of  which is  or  of the whole pizza.  

The  other slices that someone ate is half the whole pie or .  

So to find the remaining amount you must subtract  from  which gives you a quarter or .

Example Question #286 : Concepts

Possible Answers:

Correct answer:

Explanation:

First you want to add up your hundredths places to get 

.  

Then you do the same for the tenths places to get 

.  

Finally, put them together to get .

Example Question #287 : Concepts

What is 16.7548 rounded to the nearest tenth?

Possible Answers:

\dpi{100} 16.75

\dpi{100} 16.8

\dpi{100} 16.7

\dpi{100} 16.755

Correct answer:

\dpi{100} 16.8

Explanation:

The tenth's place is the position one unit to the right of the decimal point.  In this case, that is the 7.

After identifying the position, we need to determine if this number remains 7 or if we need to round it up to 8.  If the number to the right of the tenth's place is 4 or lower, then our number will remain 7.  If it is 5 or greater, then we will round the 7 up to 8.

In this case, the number is indeed 5, so our tenth's place becomes 8.  All numbers to the left of the tenth's place will remain the same.

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