Decimals
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HSPT Math › Decimals
What is 16.7548 rounded to the nearest tenth?
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.
77% can also be writen as ________.
Explanation
To convert a percentage into a decimal, divide the number by 100.
Instead of doing long division, simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.
You can think of 77 as 77.0 (or 77. - the zero doesn't matter). Now move the decimal point two places to the left.
Answer:
The above is a menu at the concession stand at a drive-in movie.
Gary wants to order two hamburgers and two small orders of fries. He wants to order two sodas of the same size. If he has just a twenty-dollar bill on hand, what is the largest size soda of which he can order two?
Gary can afford two large sodas
Gary can afford two medium sodas, but not two large sodas
Gary can afford two small sodas, but not two medium or large sodas
Gary cannot afford two sodas
Explanation
The easiest way to think of this is to note that Gary seems to be ordering for two people, himself and a friend. He has $20, so half of this will be for himself and half for his friend - and half of $20 is $10.
Each hamburger costs $4.89, and each small order of fries costs $2.29. This leaves
to spend on a soda for each person. This will enable to him to buy both himself and his friend a large soda.
The above is a menu at the concession stand at a drive-in movie.
Gary wants to order two hamburgers and two small orders of fries. He wants to order two sodas of the same size. If he has just a twenty-dollar bill on hand, what is the largest size soda of which he can order two?
Gary can afford two large sodas
Gary can afford two medium sodas, but not two large sodas
Gary can afford two small sodas, but not two medium or large sodas
Gary cannot afford two sodas
Explanation
The easiest way to think of this is to note that Gary seems to be ordering for two people, himself and a friend. He has $20, so half of this will be for himself and half for his friend - and half of $20 is $10.
Each hamburger costs $4.89, and each small order of fries costs $2.29. This leaves
to spend on a soda for each person. This will enable to him to buy both himself and his friend a large soda.
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 
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
An aircraft's cruising speed is 
Explanation
The formula to calculate distance is 
In this problem, 
Convert the 
To solve, multiply.
At its cruising speed of 
An aircraft's cruising speed is
Explanation
The formula to calculate distance is
In this problem,
Convert the
To solve, multiply.
At its cruising speed of
Divide:
Explanation
Examine the divisor 0.004. To make this a whole number, the decimal point needs to be moved three places right. Do this to both 0.004 and 320, adding an implied decimal point after the latter first:
Now perform this division:
Find the decimal equivalent of 
Explanation
To solve, divide:
Answer:
A runner runs 10.2 miles east, then 2.3 miles west, then 1.4 miles east.
How many miles did the runner travel from where he started? (How far east did the runner go)?
9.3 miles
10.2 miles
6.5 miles
13.9 miles
19.3 miles
Explanation
When the runner is travelling east, it's in the positive direction. West is the negative direction. So we can compute it by doing the operation 10.2 + (–2.3) + 1.4 = 9.3