All TACHS Math Resources
Example Questions
Example Question #1 :Tachs: Math And Ability
Subtract.
In order to solve this problem we must subtract the second number from the first number.
Example Question #1 :Decimals
Square 0.44.
平方数乘以本身,so we seek to compute
To multiply two decimal fractions, first multiply, ignoring the decimal points:
Move the (implied) decimal point the number of spaces right equal to the total number of digits right of the decimal points in the factors; this can be seen to be four:
The square of 0.44 is 0.1936.
Example Question #11 :Math
Tiffany earnseach week. If Mark earnsless than Tiffany, what is the sum of their salaries each week?
Start by finding out how much Mark makes. Since he makesless than Tiffany, we can write the following to find Mark's weekly salary:
Mark must makeeach week. Now, add together their salaries to find the sum.
Example Question #12 :Math
Rachel earnsan hour as an assistant in a science lab. How manyhour work weeks will she need to work in order to pay for a car that costs?
Cannot be determined
Start by figuring out how much Rachel can earn in each week by multiplying her hourly rate by the number of hours worked each week.
Now, divide the amount she needs to earn by the amount earned each week to find how many weeks she will need to work to earn that amount.
Rachel must work forweeks in order to earn enough for the car.
Example Question #1 :Operations
Add.
In order to solve this problem we need to line up the decimal places and add.
Example Question #11 :Tachs: Math And Ability
What is the value of?
Start with finding the value of.
In order to add fractions with different denominators, we will need to change one or both denominators first. Notice thatis a factor of, which means we can multiply the numerator and the denominator ofbyto get.
Now, add the two fractions together as they have the same denominator.
接下来,解决.
The least common multiple ofandis.
Thus,
Example Question #1 :Fractions
Janice's car can travelmiles on one gallon of gas. Her car can normally holdgallons of gas, but it is onlyfull. How many miles can Janice travel before the tank is empty?
Start by finding out how many gallons is currently in Janice's tank.
Since it is onlyfull,
.
The tank only hasgallons in it right now. Multiply this by the number of miles traveled per gallon to find how far Janice can travel before the tank is empty.
Example Question #11 :Tachs: Math And Ability
What is the product ofand?
Since the question asks for the product, you will need to multiply the two fractions. Recall that in multiplying two fractions, you will multiply the numerators together and then multiply the denominators together.
Next, reduce the fraction.
Example Question #12 :Tachs: Math And Ability
What is the difference betweenand?
Since the question asks you to find the difference, you will need to subtract the two fractions:
Start by making both denominators the same. Multiply the numerator and denominator ofbyto get.
Now, subtract.
Make sure to simplify the answer.
Example Question #12 :Tachs: Math And Ability
Paul can typewords per minute. If Josie can typefaster than Paul can, how many words can Josie type inminutes?
Cannot be determined
Start by finding out Josie's typing rate.
Since she typesfaster, we can find her rate with the following equation:
Since Josie types atwords per minute, we can multiply by the total number of given minutes to find out how many words she can type in the given time frame.