Operations - TACHS Math

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.

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 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 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 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 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.

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 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.

In order to solve this problem we must subtract the second number from the first number.

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.

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:

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 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.

In order to solve this problem we need to line up the decimal places and add.

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.

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 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 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 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.