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Algebra II : Multiplication and Division

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 #21 : Multiplication And Division

Multiply: $212\times 184$

Possible Answers:

46648

39018

23744

39008

38018

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 #22 : Multiplication And Division

Multiply: $971\times 23$

Possible Answers:

23333

22333

24343

24323

22433

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 #23 : Multiplication And Division

Multiply the numbers: $2196\times 36$

Possible Answers:

80526

19756

79156

79056

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:

2304

3204

604

3104

704

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:

$\frac{90}{7}$

$\frac{50}{7}$

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

$\frac{60}{7}$

$\frac{80}{7}$

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 #26 : Multiplication And Division

Multiply the two numbers: $362\times 27$

Possible Answers:

3258

3358

14764

9764

9774

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:

18710091

17748001

17740971

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

19710001

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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Example Question #28 : Multiplication And Division

Multiply $194\times 999$ .

Possible Answers:

193806

184906

193776

193906

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 #29 : Multiplication And Division

Multiply: $363\times 25$

Possible Answers:

9135

8975

9075

9125

8075

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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Algebra II : Multiplication and Division

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #21 : Multiplication And Division

Example Question #22 : Multiplication And Division

Example Question #23 : Multiplication And Division

Example Question #24 : Multiplication And Division

Example Question #25 : Multiplication And Division

Example Question #26 : Multiplication And Division

Example Question #27 : Multiplication And Division

Example Question #28 : Multiplication And Division

Example Question #29 : Multiplication And Division

Example Question #5001 : Algebra Ii

All Algebra II Resources

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