Operations - TACHS Math
Card 0 of 56
Add.
Add.
Tap to see back →
In order to solve this problem we need to line up the decimal places and add.
In order to solve this problem we need to line up the decimal places and add.
Square 0.44.
Square 0.44.
Tap to see back →
To square a number means to multiply it by itself, 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.
To square a number means to multiply it by itself, 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.
Tiffany earns 
each week. If Mark earns 
less than Tiffany, what is the sum of their salaries each week?
Tiffany earns
Tap to see back →
Start by finding out how much Mark makes. Since he makes 
less than Tiffany, we can write the following to find Mark's weekly salary:
Mark must make 
each week. Now, add together their salaries to find the sum.
Start by finding out how much Mark makes. Since he makes
Mark must make
Rachel earns 
an hour as an assistant in a science lab. How many 
hour work weeks will she need to work in order to pay for a car that costs 
?
Rachel earns
Tap to see back →
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 for 
weeks in order to earn enough for the car.
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 for
What is the value of 
?
What is the value of
Tap to see back →
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 that 
is a factor of 
, which means we can multiply the numerator and the denominator of 
by 
to get 
.
Now, add the two fractions together as they have the same denominator.
Next, solve 
.
The least common multiple of 
and 
is 
.
Thus, 
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 that
Now, add the two fractions together as they have the same denominator.
Next, solve
The least common multiple of
Thus,
Janice's car can travel 
miles on one gallon of gas. Her car can normally hold 
gallons of gas, but it is only 
full. How many miles can Janice travel before the tank is empty?
Janice's car can travel
Tap to see back →
Start by finding out how many gallons is currently in Janice's tank.
Since it is only 
full,
.
The tank only has 
gallons 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.
Start by finding out how many gallons is currently in Janice's tank.
Since it is only
The tank only has
Paul can type 
words per minute. If Josie can type 
faster than Paul can, how many words can Josie type in 
minutes?
Paul can type
Tap to see back →
Start by finding out Josie's typing rate.
Since she types 
faster, we can find her rate with the following equation:
Since Josie types at 
words 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.
Start by finding out Josie's typing rate.
Since she types
Since Josie types at
What is the product of 
and 
?
What is the product of
Tap to see back →
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.
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.
What is the difference between 
and 
?
What is the difference between
Tap to see back →
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 of 
by 
to get 
.
Now, subtract.
Make sure to simplify the answer.
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 of
Now, subtract.
Make sure to simplify the answer.
Subtract.
Subtract.
Tap to see back →
In order to solve this problem we must subtract the second number from the first number.
In order to solve this problem we must subtract the second number from the first number.
Which of the following is the most reduced form of 
?
Which of the following is the most reduced form of
Tap to see back →
Start by converting 
into a fraction.
We multiply both numerator and denominator by 
to get rid of the decimal.
Now, convert 
into a mixed number.
Start by converting
We multiply both numerator and denominator by
Now, convert
Evaluate:
Evaluate:
Tap to see back →
In the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Multiply 15 by 8 first:
Addition and subtraction have equal precedence and are worked in left-to-right order. Subtract 120 and 12 next:
Now add:
In the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Multiply 15 by 8 first:
Addition and subtraction have equal precedence and are worked in left-to-right order. Subtract 120 and 12 next:
Now add:
What is the value of 
?
What is the value of
Tap to see back →
Make sure you follow the order of operations (PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction—from the left to the right).
Start by simplifying what's found within the parentheses:
Next, simplify any multiplication and division.
Finally, simplify any addition and subtraction.
Make sure you follow the order of operations (PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction—from the left to the right).
Start by simplifying what's found within the parentheses:
Next, simplify any multiplication and division.
Finally, simplify any addition and subtraction.
What is the value of 
?
What is the value of
Tap to see back →
Make sure to follow the order of operations.
Start by simplifying what is found in the parentheses.
Next, simplify any exponents.
Next, simplify any multiplication and division.
Finally, simplify any addition and subtraction.
Make sure to follow the order of operations.
Start by simplifying what is found in the parentheses.
Next, simplify any exponents.
Next, simplify any multiplication and division.
Finally, simplify any addition and subtraction.
Add.
Add.
Tap to see back →
In order to solve this problem we need to line up the decimal places and add.
In order to solve this problem we need to line up the decimal places and add.
Square 0.44.
Square 0.44.
Tap to see back →
To square a number means to multiply it by itself, 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.
To square a number means to multiply it by itself, 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.
Tiffany earns each week. If Mark earns less than Tiffany, what is the sum of their salaries each week?
Tiffany earns
Tap to see back →
Start by finding out how much Mark makes. Since he makes less than Tiffany, we can write the following to find Mark's weekly salary:
Mark must make each week. Now, add together their salaries to find the sum.
Start by finding out how much Mark makes. Since he makes
Mark must make
Rachel earns an hour as an assistant in a science lab. How many hour work weeks will she need to work in order to pay for a car that costs ?
Rachel earns
Tap to see back →
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 for weeks in order to earn enough for the car.
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 for
What is the value of ?
What is the value of
Tap to see back →
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 that is a factor of , which means we can multiply the numerator and the denominator of by to get .
Now, add the two fractions together as they have the same denominator.
Next, solve .
The least common multiple of and is .
Thus,
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 that
Now, add the two fractions together as they have the same denominator.
Next, solve
The least common multiple of
Thus,
Janice's car can travel miles on one gallon of gas. Her car can normally hold gallons of gas, but it is only full. How many miles can Janice travel before the tank is empty?
Janice's car can travel
Tap to see back →
Start by finding out how many gallons is currently in Janice's tank.
Since it is only full,
.
The tank only has gallons 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.
Start by finding out how many gallons is currently in Janice's tank.
Since it is only
The tank only has