HSPT Math : Decimals

Study concepts, example questions & explanations for HSPT Math

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Example Questions

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Example Question #281 : Arithmetic

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 #181 : Decimals

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

If , then evaluate .

Possible Answers:

Correct answer:

Explanation:

,

so

.

If

, then

Example Question #183 : Decimals

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 #282 : Arithmetic

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 #283 : Arithmetic

What is 16.7548 rounded to the nearest tenth?

Possible Answers:

\dpi{100} 16.7

\dpi{100} 16.75

\dpi{100} 16.8

\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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