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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 #18 : Multiplication And Division

Multiply the numbers: $92\times 47$

Possible Answers:

1014

3524

4424

3624

4324

Correct answer:

4324

Explanation:

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

$92\times 7 = 644$

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

$92\times 4 = 368$

Add a zero to this number.

3680

Add this number with the first number calculated.

3680+644= 4324

The answer is: 4324

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Example Question #12 : Multiplication And Division

Multiply: $238\times 819$

Possible Answers:

192782

196922

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

194922

195922

Correct answer:

194922

Explanation:

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

$238\times 9 = 2142$

Multiply the first number with the second digit of the second number, and then add a zero to the end of that number.

$238\times 1 = 238$

The number becomes:

2380

Multiply the first number with the hundreds digit of the second number, and then add two zeros to the end of that number.

$238\times 8 = 1904$

The number becomes:

190400

Add the three numbers obtained.

190400+2380+2142 =194922

The answer is: 194922

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Example Question #20 : Multiplication And Division

Multiply: $417\times 38$

Possible Answers:

15846

15746

16946

16846

15946

Correct answer:

15846

Explanation:

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

$417\times 8 =3336$

Multiply the first number with the tens digit of the second number, and then add a zero to the end of the number.

$417\times 3 = 1251$

12510

Add both numbers.

12510+3336=15846

The answer is: 15846

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Example Question #2331 : Mathematical Relationships And Basic Graphs

Multiply: $212\times 184$

Possible Answers:

23744

38018

39008

39018

46648

Correct answer:

39008

Explanation:

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

$212\times 4 = 848$

Save this number.

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

$212\times 8 = 1696$

Add a zero to the end of this number.

16960

Save this number.

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

$212\times 1 = 212$

Add two zeros at the end of this number.

21200

Take this number and add it with the two saved numbers from the previous calculations.

21200+16960+848 = 39008

The answer is: 39008

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Example Question #4991 : Algebra Ii

Multiply: $971\times 23$

Possible Answers:

24323

23333

24343

22433

22333

Correct answer:

22333

Explanation:

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

$971\times 3 = 2913$

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

$971\times 2 =1942$

Add a zero to the end of this number.

19420

Add this number with the number from the first calculation.

19420+2913 = 22333

The answer is: 22333

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Example Question #2332 : Mathematical Relationships And Basic Graphs

Multiply the numbers: $2196\times 36$

Possible Answers:

79056

80526

19756

79156

19764

Correct answer:

79056

Explanation:

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

$2196\times 6 = 13176$

Save this number.

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

$2196\times 3= 6588$

Add a zero to the end of this number.

65880

Add this number with the saved number.

65880+13176 = 79056

The answer is: 79056

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Example Question #24 : Multiplication And Division

Multiply: $36\times 89$

Possible Answers:

3104

704

2304

3204

604

Correct answer:

3204

Explanation:

Multiply the first number with the ones digit of 89.

$36\times 9 = 324$

Multiply the first number with the tens digit of 89.

$36\times 8 = 288$

Add a zero to the end of this number.

2880

Add this number with the first number calculated.

2880+324 =3204

The answer is: 3204

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Example Question #25 : Multiplication And Division

Divide the number 360 with 28.

Possible Answers:

$\frac{60}{7}$

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

$\frac{90}{7}$

$\frac{80}{7}$

$\frac{50}{7}$

Correct answer:

$\frac{90}{7}$

Explanation:

Write the problem as an expression of a fraction.

$\frac{360}{28}$

Rewrite the problem using common factors.

$\frac{360}{28} = \frac{2 \times 4 \times 5 \times 9}{4 \times 7}$

Cancel the common terms in the numerator and denominator.

$\frac{2 \times 4 \times 5 \times 9}{4 \times 7}= \frac{2 \times 5 \times 9}{7}$

The answer is: $\frac{90}{7}$

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Example Question #4991 : Algebra Ii

Multiply the two numbers: $362\times 27$

Possible Answers:

9774

3358

9764

3258

14764

Correct answer:

9774

Explanation:

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

$362\times 7=2534$

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

$362\times 2=724$

Add a zero to the end of this number.

7240

Add this number with the first number.

7240+2534=9774

The answer is: 9774

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Example Question #27 : Multiplication And Division

Multiply the following numbers: $1971\times9001$

Possible Answers:

19710001

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

18710091

17740971

17748001

Correct answer:

17740971

Explanation:

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

$1971\times 1 =1971$

Save this number.

Notice that the tens and hundreds digits of the second number are zero.

We must add a zero to the end of the number obtained by multiply the first number with the tens digit, two zeros multiplied with the hundreds digit, and so forth.

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

$1971\times 9=17739$

Add three zeros to the end of this number.

17739000

Add this number with the first number.

17739000+1971 = 17740971

The answer is: 17740971

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Algebra II : Elementary Operations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #18 : Multiplication And Division

Example Question #12 : Multiplication And Division

Example Question #20 : Multiplication And Division

Example Question #2331 : Mathematical Relationships And Basic Graphs

Example Question #4991 : Algebra Ii

Example Question #2332 : Mathematical Relationships And Basic Graphs

Example Question #24 : Multiplication And Division

Example Question #25 : Multiplication And Division

Example Question #4991 : Algebra Ii

Example Question #27 : Multiplication And Division

All Algebra II Resources

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