### All TACHS Math Resources

## Example Questions

### Example Question #1 : Operations

Square 0.44.

**Possible Answers:**

**Correct answer:**

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.

### Example Question #1 : Operations

Tiffany earns each week. If Mark earns less than Tiffany, what is the sum of their salaries each week?

**Possible Answers:**

**Correct answer:**

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.

### Example Question #2 : Operations

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 ?

**Possible Answers:**

Cannot be determined

**Correct answer:**

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.

### Example Question #3 : Operations

Add.

**Possible Answers:**

**Correct answer:**

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