Elementary Operations

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Algebra II › Elementary Operations

Questions 1 - 10
1

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:

2

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:

3

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

4

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

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

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:

7

Subtract the numbers:

Explanation

Borrow a one from the tens digit of 915 in order to subtract the ones digits. The tens digit of 915 becomes zero.

Borrow a one from the hundreds digit of 915 in order to subtract the tens digits. The hundreds digit becomes an eight.

Subtract the hundreds digits.

Combine the numbers.

The answer is:

8

Add the following numbers:

Explanation

Add the ones digits.

Add the tens digits with the carryover.

Add the hundreds digits with the carryover.

Combine the digits together to determine the answer.

The answer is:

9

Add the following numbers:

Explanation

Add the ones digits.

Add the tens digits.

Add the hundreds digits with the carryover, 1.

Add the thousands digits with the carryover.

The answer is:

10

Multiply the following numbers:

Explanation

Multiply the first number with the ones digit of 948.

Save this value.

Multiply the first number with the tens digit of 948.

Add a zero to the end of this number.

Save this value.

Multiply the first number with the hundreds digit of 948.

Add two zeros to the end of this number and add the previous saved values.

The answer is:

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