Elementary Operations

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Questions 1 - 10
1

Explanation

We have one positive and one negative number.

When multipled, our answer is negative.

The product is .

2

Multiply:

Explanation

Multiply the ones digits together.

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 .

The answer is:

3

Multiply:

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.

From here, first multiply , when doing so remember when a negative number is multiplied by a positive number the resulting product is negative.

Therefore we get,

.

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 . 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.

.

4

Explanation

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

The quotient is .

5

Add the following numbers:

Explanation

Write an expression to set up the problem.

Add the ones digits.

The carryover is tens place, which is two.

Add the tens digits.

The carryover is three.

Add the hundreds places with the carryover. The two digit numbers will have zero as the hundreds places.

Combine the ones digits from each calculation.

The answer is:

6

What is ?

Explanation

Remember PEMDAS, the acronym that stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. This is the order of operations we need to adhere to when doing any arithmetic.

The parentheses go first so do what's inside the parentheses.

The sum of and is .

Then we multiply that with to get the final answer of

7

What is ?

Explanation

Remember PEMDAS, the acronym that stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. This is the order of operations we need to adhere to when doing any arithmetic.

The parentheses go first so do what's inside the parentheses.

The sum of and is .

Then we multiply that with to get the final answer of

8

Explanation

The numbers are positive. We just divide.

Answer is .

9

Evaluate:

Explanation

In order to subtract these two numbers, we will first need to take out a common factor of negative one.

We can then subtract the terms.

Borrow a one from the tens digit to subtract the ones digits. The tens digit of 981 becomes a 7.

Borrow a one from the hundreds place to subtract the tens digits. The hundreds place of 981 becomes an eight.

Subtract the tens digits.

Subtract the hundreds digits.

The expression becomes:

The answer is:

10

Evaluate:

Explanation

In order to subtract these two numbers, we will first need to take out a common factor of negative one.

We can then subtract the terms.

Borrow a one from the tens digit to subtract the ones digits. The tens digit of 981 becomes a 7.

Borrow a one from the hundreds place to subtract the tens digits. The hundreds place of 981 becomes an eight.

Subtract the tens digits.

Subtract the hundreds digits.

The expression becomes:

The answer is:

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