Pre-Algebra - Multiplication and Division

$-24\div 6$

Explanation

We have one positive and one negative number. When divided, our answer is negative.

$\frac{-24}{6}=\frac{-4\cdot 6}{6}=-4$

The quotient is .

Multiply:

$(-4)(9)\left | -9\right |$

Explanation

Eliminate the absolute value sign before proceeding to multiply all the terms.

A value inside the absolute value will result into a positive value.

$(-4)(9)\left | -9\right | = (-4)(9)(9)$

From here, first multiply $-4\cdot 9$ , when doing so remember when a negative number is multiplied by a positive number the resulting product is negative.

Therefore we get,

$-4\cdot 9=-36$ .

Now we will need to multiply with .

First multiply six with nine to get . Keep the four in the ones place and carry the five to the tens place. Now multply nine with three $9\cdot 3=27$ . Since we carried the five over we need to add . Combine this value with the value that was found for the ones spot to get, . Finally, place a negative sign in front of it to arrive at the final answer.

Multiply: $39 \times 7$

Explanation

Multiply the ones digits together.

$9\times 7 =63$

The ones digit of the final answer is .

Carry over the to the next calculuation.

Multiply the with the tens digit of the first number, and add the carryover .

$7\times 3 +6 = 21+6 = 27$

The answer is:

Explanation

We have one positive and one negative number.

When multipled, our answer is negative.

The product is .

Reduce the fraction $\frac{18}{24}$ .

$\frac{3}{4}$

$\frac{9}{12}$

$\frac{5}{8}$

$\frac{27}{36}$

Explanation

To reduce any fraction, you must find the greatest common factor (GCF) of both the numerator and denominator. In this case, the biggest number that can be divided into both 18 and 24 evenly is 6. Divide both 18 and 24 by 6 to solve.

$\frac{18}{6}=3$

$\frac{24}{6}=4$

The solution is $\frac{3}{4}$ .

Solve:

Explanation

When multiplying with a positive number and a negative numberr, our answer is negative. The product is .

Explanation

We have two negative numbers. When multiplied, the answer is positive.

$-15\ \underline{\times -11}$

$\underline{+150}$

The product is .

A salesman for a car dealership earns 12% commission on all sales. What will be his commission for a week if he sells three cars that week - a $55,000 SUV on Tuesday, a $28,000 car on Thursday, and a $42,000 van on Friday?

Explanation

The total sale price of the cars he sells will be

12% of $125,000 is

$$ 125,000 \times 0.12 = $15,000$ ,

which is the salesman's commission.

What expression simplifies to

Explanation

When simplified using the FOIL method results in the following:

First: $x\cdot x=x^2$

Inner: $x\cdot 1=x$

Outer: $x\cdot6=6x$

Last: $1\cdot6=6$

When the 2 is distributed and the expression simplified we are left with

$-12*33 \div -4$

Explanation

When facing different operations, we will work from left to right since in PEMDAS, multiplication and division has no priority. We have two negative numbers and one positive number. We will get a negative number when a positive number and negative number multiply.

$\-12\\underline{ \times 33}$