Arithmetic

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HSPT Math › Arithmetic

Questions 1 - 10
1

Find the sum of the following:

Explanation

To get the decimal from a fraction, divide the numerator by the denominator

2

There are 500 students at the high school. There are only two menu options: chicken or fish. If 15% of students ordered fish, how many students ordered chicken?

Explanation

If 15% of students ordered fish, then 85% of the students must have ordered chicken. Then multiply 85% or .

3

What is 16.7548 rounded to the nearest tenth?

\dpi{100} 16.8

\dpi{100} 16.7

\dpi{100} 16.755

\dpi{100} 16.75

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.

4

Explanation

To subtract decimals you place the first decimal over the top of the other aligned by the decimal point. If there are no numbers after a tens, hundredths, or thousandths place or further to the right of the decimal just add a zero in the required areas.

For example becomes

Then go through each place and subtract the top number by the bottom number. Subtract the numbers in each place like you would any number.

The example we are working with will look like this

The answer after subtraction is

5

Explanation

To subtract decimals you place the first decimal over the top of the other aligned by the decimal point. If there are no numbers after a tens, hundredths, or thousandths place or further to the right of the decimal just add a zero in the required areas.

For example becomes

Then go through each place and subtract the top number by the bottom number. Subtract the numbers in each place like you would any number.

The example we are working with will look like this

The answer after subtraction is

6

Solve:

Explanation

The lowest common denominator of 2 and 7 is 14.

7

Which of the following operations is equivalent to taking of a number?

Dividing the number by

Dividing the number by

Dividing the number by

Moving the decimal point one place to the left, then doubling the result

Moving the decimal point one place to the left, then tripling the result

Explanation

Let's just pick a number at random, for example .

of this number is , which is divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by .

We can simplify this fraction: .

Either way, we get the same answer.

8

Which of the following statements demonstrates the associative property of addition?

None of the examples in the other responses demonstrates the associative property of addition.

Explanation

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only

demonstrates this property, so it is the correct choice.

9

Explanation

To most effectively add a positive and negative number, ignore the signs and pick the greater of the two numbers.

In this case the positive number has a higher value if we don’t pay attention to the signs. Due to this fact we know the answer will be positive.

We then subtract the smaller number value from the higher value which gives us

Then we add the sign of the greater value to arrive at our answer .

10

Explanation

Multiply the numerators then denominators:

Answer:

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