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Algebra II : Elementary Operations

Study concepts, example questions & explanations for Algebra II

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10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2331 : Mathematical Relationships And Basic Graphs

Multiply $194\times 999$ .

Possible Answers:

193806

184906

193906

193776

193796

Correct answer:

193806

Explanation:

One method to save time computing a problem like this is to multiply 194 by a value close to 999, or thousand, and then subtract a unit of 194. This is also equivalent to multiplying to the value that is given in the problem.

$194\times 999 = 194\times (1000 - 1) = 194(1000)-194(1)$

194000-194=193806

The answer is: 193806

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Example Question #2332 : Mathematical Relationships And Basic Graphs

Multiply: $363\times 25$

Possible Answers:

9135

8975

8075

9075

9125

Correct answer:

9075

Explanation:

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

$363\times 5= 1815$

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

$363\times2=726$

Add a zero to this number.

7260

Add this with the first number.

7260+1815=9075

The answer is: 9075

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Example Question #5001 : Algebra Ii

Multiply: $193\times 89$

Possible Answers:

16177

13717

15617

17617

17177

Correct answer:

17177

Explanation:

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

$193\times 9=1737$

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

$193\times 8 =1544$

Add an extra zero to this number.

15440

Add this number with the first number calculated.

15440+1737=17177

The answer is: 17177

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Example Question #5002 : Algebra Ii

Multiply the numbers: $188\times 357$

Possible Answers:

16356

68126

17356

67116

67126

Correct answer:

67116

Explanation:

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

$188\times7 = 1316$

Save this number.

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

$188\times 5= 940$

Add a zero to the end of this number.

9400

Save this number.

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

$188\times 3 =564$

Add two zeros to this number.

56400

Add this with the two saved numbers.

56400+9400+1316 = 67116

The answer is: 67116

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Example Question #5003 : Algebra Ii

Solve: $692\times 843$

Possible Answers:

593346

683456

576436

593366

583356

Correct answer:

583356

Explanation:

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

$692\times 3 = 2076$

Save this number.

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

$692\times 4 = 2768$

Add a zero to the end of this number.

27680

Save this number.

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

$692\times 8=5536$

Add two zeros to the end of this number.

553600

Add this number with the other two saved numbers.

553600+27680+2076 =583356

The answer is: 583356

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Example Question #33 : Multiplication And Division

Multiply the following numbers: $197\times 84$

Possible Answers:

15548

16548

16648

17648

15768

Correct answer:

16548

Explanation:

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

$197\times 4 =788$

Save this number.

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

$197\times 8 = 1576$

Add a zero to the end of this number.

15760

Add this number with the saved number.

15760+788=16548

The answer is: 16548

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Example Question #2341 : Mathematical Relationships And Basic Graphs

Multiply the numbers: $78\times 35$

Possible Answers:

620

2730

2830

624

Correct answer:

2730

Explanation:

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

$78\times 5 =390$

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

$78\times 3= 234$

Add a zero to this number.

2340

Add this and the first number together.

2340+390 = 2730

The answer is: 2730

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Example Question #35 : Multiplication And Division

Multiply the numbers: $173\times 94$

Possible Answers:

15262

15372

16262

16372

$\textup{The answer is not given.}$

Correct answer:

16262

Explanation:

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

$173\times 4=692$

Save this number.

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

$173\times9=1557$

Add a zero to the end of this number.

15570

Add this number with the first number saved.

15570+692=16262

The answer is: 16262

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Example Question #5001 : Algebra Ii

Multiply: $269\times367$

Possible Answers:

97823

96533

$\textup{The answer is not given.}$

98723

95783

Correct answer:

98723

Explanation:

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

$269\times 7 = 1883$

Save this number.

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

$269\times6=1614$

Add a zero to the end of this number.

16140

Save this number.

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

$269\times 3 = 807$

Add two zeros to the end of this number.

80700

Add this number with the other two saved numbers.

80700+ 16140+1883= 98723

The answer is: 98723

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Example Question #5004 : Algebra Ii

Multiply the numbers: $832\times 29$

Possible Answers:

24128

23298

25128

23098

25328

Correct answer:

24128

Explanation:

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

$832\times9 =7488$

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

$832\times 2= 1664$

Add a zero to the end of this number.

16640

Add this number with the first number.

16640+7488= 24128

The answer is: 24128

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Algebra II : Elementary Operations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #2331 : Mathematical Relationships And Basic Graphs

Example Question #2332 : Mathematical Relationships And Basic Graphs

Example Question #5001 : Algebra Ii

Example Question #5002 : Algebra Ii

Example Question #5003 : Algebra Ii

Example Question #33 : Multiplication And Division

Example Question #2341 : Mathematical Relationships And Basic Graphs

Example Question #35 : Multiplication And Division

Example Question #5001 : Algebra Ii

Example Question #5004 : Algebra Ii

All Algebra II Resources

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