Algebra 1 : Real Numbers

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #121 : Real Numbers

Multiply the following integers: 

Possible Answers:

Correct answer:

Explanation:

The order of multiplication does not matter. We can choose to multiply eleven by three or nine to save work.

Multiply eleven with three.

Multiply thirty-three with nine.

Multiply the ones digits.

The carryover is the tens place. Multiply the ones digit with the tens digit and add the carryover.

Combine the numbers. The answer is .

Example Question #122 : Real Numbers

Multiply the numbers:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digits.

The tens place will be the carryover for the next calculation.

Multiply the tens digit of 29 with the eight and add the carryover.

Combine this number with the ones digit of the first calculation.

The answer is:  

Example Question #123 : Real Numbers

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digit of 587 with the eight.

The tens place is the carryover.

Multiply the tens digit of 587 with the eight and add the carryover.

The tens place is the carryover.

Multiply the hundreds digit of 587 with the eight and add the carryover.

Combine this number with the ones digits in the other calculations.

The answer is:  

Example Question #51 : How To Multiply Integers

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digit of 26 with eight.

The tens place is the carryover.

Multiply the tens digit of 26 with eight and add the carryover.

Combine this number with the ones digit of the first calculation.

The answer is: 

Example Question #125 : Real Numbers

Solve:  

Possible Answers:

Correct answer:

Explanation:

Multiply 91 with the ones digit.

Skip a line and multiply 91 with the tens digit.

Add a zero at the end of this number.

Sum this number with the first number we have calculated.

The answer is:   

Example Question #126 : Real Numbers

Multiply the integers:  

Possible Answers:

Correct answer:

Explanation:

Multiply the first number with the ones digit of the second number.

Skip a line, and multiply the first number with the tens digit of the second number.

We will need to add a zero to the right of this number.

Add this number with the first number.

The answer is:  

Example Question #1 : How To Add Integers

Solve the expression  .

Possible Answers:

Correct answer:

Explanation:

Adding a negative is the same as subtraction.

Example Question #121 : Real Numbers

What is the sum of all of the even integers from 2 to 2,000, inclusive?

Possible Answers:

Correct answer:

Explanation:

Pair the numbers as follows:

...

There are 500 such pairs, so adding all of the even integers from 2 to 2,000 is the same as taking 2,002 as an addend 500 times. This can be rewritten as a multiplication.

Example Question #3 : How To Add Integers

Simplify

Possible Answers:

Correct answer:

Explanation:

When adding integers first consider the signs of the numbers being added. Then simply work right to left. 

So the answer is 

 

Example Question #4 : How To Add Integers

Consider the expression:

If you know the value of  and , then in which order would you carry out the four operations in this expression in order to evaluate it?

Possible Answers:

Add, divide, subtract, square

Square, subtract, add, divide

Add, divide, square, subtract

Square, divide, add, subtract

Add, square, divide, subtract

Correct answer:

Add, square, divide, subtract

Explanation:

According to the order of operations:

Work any operation in parentheses first - here it would be the addition.

What remains would be an exponent (the squaring), a division, and a subtraction, which, according to the order of operations, would be worked in that order.

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