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Algebra II : Elementary Operations

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Example Questions

Example Question #121 : Elementary Operations

Multiply the numbers: $92\times 47$ $\displaystyle 92\times 47$

Possible Answers:

4424 $\displaystyle 4424$

3624 $\displaystyle 3624$

4324 $\displaystyle 4324$

1014 $\displaystyle 1014$

3524 $\displaystyle 3524$

Correct answer:

4324 $\displaystyle 4324$

Explanation:

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

$92\times 7 = 644$ $\displaystyle 92\times 7 = 644$

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

$92\times 4 = 368$ $\displaystyle 92\times 4 = 368$

Add a zero to this number.

3680 $\displaystyle 3680$

Add this number with the first number calculated.

$\displaystyle 3680+644= 4324$

The answer is: 4324 $\displaystyle 4324$

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Example Question #122 : Elementary Operations

Multiply: $238\times 819$ $\displaystyle 238\times 819$

Possible Answers:

196922 $\displaystyle 196922$

192782 $\displaystyle 192782$

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

194922 $\displaystyle 194922$

195922 $\displaystyle 195922$

Correct answer:

194922 $\displaystyle 194922$

Explanation:

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

$238\times 9 = 2142$ $\displaystyle 238\times 9 = 2142$

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

$238\times 1 = 238$ $\displaystyle 238\times 1 = 238$

The number becomes:

2380 $\displaystyle 2380$

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

$238\times 8 = 1904$ $\displaystyle 238\times 8 = 1904$

The number becomes:

190400 $\displaystyle 190400$

Add the three numbers obtained.

$\displaystyle 190400+2380+2142 =194922$

The answer is: 194922 $\displaystyle 194922$

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Example Question #123 : Elementary Operations

Multiply: $417\times 38$ $\displaystyle 417\times 38$

Possible Answers:

16946 $\displaystyle 16946$

15746 $\displaystyle 15746$

15946 $\displaystyle 15946$

16846 $\displaystyle 16846$

15846 $\displaystyle 15846$

Correct answer:

15846 $\displaystyle 15846$

Explanation:

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

$417\times 8 =3336$ $\displaystyle 417\times 8 =3336$

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

$417\times 3 = 1251$ $\displaystyle 417\times 3 = 1251$

12510 $\displaystyle 12510$

Add both numbers.

$\displaystyle 12510+3336=15846$

The answer is: 15846 $\displaystyle 15846$

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Example Question #124 : Elementary Operations

Multiply: $212\times 184$ $\displaystyle 212\times 184$

Possible Answers:

39018 $\displaystyle 39018$

23744 $\displaystyle 23744$

38018 $\displaystyle 38018$

46648 $\displaystyle 46648$

39008 $\displaystyle 39008$

Correct answer:

39008 $\displaystyle 39008$

Explanation:

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

$212\times 4 = 848$ $\displaystyle 212\times 4 = 848$

Save this number.

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

$212\times 8 = 1696$ $\displaystyle 212\times 8 = 1696$

Add a zero to the end of this number.

16960 $\displaystyle 16960$

Save this number.

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

$212\times 1 = 212$ $\displaystyle 212\times 1 = 212$

Add two zeros at the end of this number.

21200 $\displaystyle 21200$

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

$\displaystyle 21200+16960+848 = 39008$

The answer is: 39008 $\displaystyle 39008$

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Example Question #125 : Elementary Operations

Multiply: $971\times 23$ $\displaystyle 971\times 23$

Possible Answers:

22433 $\displaystyle 22433$

24343 $\displaystyle 24343$

22333 $\displaystyle 22333$

24323 $\displaystyle 24323$

23333 $\displaystyle 23333$

Correct answer:

22333 $\displaystyle 22333$

Explanation:

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

$971\times 3 = 2913$ $\displaystyle 971\times 3 = 2913$

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

$971\times 2 =1942$ $\displaystyle 971\times 2 =1942$

Add a zero to the end of this number.

19420 $\displaystyle 19420$

Add this number with the number from the first calculation.

$\displaystyle 19420+2913 = 22333$

The answer is: 22333 $\displaystyle 22333$

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Example Question #126 : Elementary Operations

Multiply the numbers: $2196\times 36$ $\displaystyle 2196\times 36$

Possible Answers:

79056 $\displaystyle 79056$

19756 $\displaystyle 19756$

19764 $\displaystyle 19764$

79156 $\displaystyle 79156$

80526 $\displaystyle 80526$

Correct answer:

79056 $\displaystyle 79056$

Explanation:

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

$2196\times 6 = 13176$ $\displaystyle 2196\times 6 = 13176$

Save this number.

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

$2196\times 3= 6588$ $\displaystyle 2196\times 3= 6588$

Add a zero to the end of this number.

65880 $\displaystyle 65880$

Add this number with the saved number.

$\displaystyle 65880+13176 = 79056$

The answer is: 79056 $\displaystyle 79056$

Report an Error

Example Question #127 : Elementary Operations

Multiply: $36\times 89$ $\displaystyle 36\times 89$

Possible Answers:

3204 $\displaystyle 3204$

2304 $\displaystyle 2304$

604 $\displaystyle 604$

704 $\displaystyle 704$

3104 $\displaystyle 3104$

Correct answer:

3204 $\displaystyle 3204$

Explanation:

Multiply the first number with the ones digit of 89.

$36\times 9 = 324$ $\displaystyle 36\times 9 = 324$

Multiply the first number with the tens digit of 89.

$36\times 8 = 288$ $\displaystyle 36\times 8 = 288$

Add a zero to the end of this number.

2880 $\displaystyle 2880$

Add this number with the first number calculated.

$\displaystyle 2880+324 =3204$

The answer is: 3204 $\displaystyle 3204$

Report an Error

Example Question #128 : Elementary Operations

Divide the number 360 with 28.

Possible Answers:

$\frac{90}{7}$ $\displaystyle \frac{90}{7}$

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

$\frac{80}{7}$ $\displaystyle \frac{80}{7}$

$\frac{50}{7}$ $\displaystyle \frac{50}{7}$

$\frac{60}{7}$ $\displaystyle \frac{60}{7}$

Correct answer:

$\frac{90}{7}$ $\displaystyle \frac{90}{7}$

Explanation:

Write the problem as an expression of a fraction.

$\frac{360}{28}$ $\displaystyle \frac{360}{28}$

Rewrite the problem using common factors.

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

Cancel the common terms in the numerator and denominator.

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

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

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Example Question #21 : Multiplication And Division

Multiply the two numbers: $362\times 27$ $\displaystyle 362\times 27$

Possible Answers:

3358 $\displaystyle 3358$

14764 $\displaystyle 14764$

9774 $\displaystyle 9774$

9764 $\displaystyle 9764$

3258 $\displaystyle 3258$

Correct answer:

9774 $\displaystyle 9774$

Explanation:

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

$362\times 7=2534$ $\displaystyle 362\times 7=2534$

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

$362\times 2=724$ $\displaystyle 362\times 2=724$

Add a zero to the end of this number.

7240 $\displaystyle 7240$

Add this number with the first number.

$\displaystyle 7240+2534=9774$

The answer is: 9774 $\displaystyle 9774$

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Example Question #130 : Elementary Operations

Multiply the following numbers: $1971\times9001$ $\displaystyle 1971\times9001$

Possible Answers:

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

$\displaystyle 17740971$

$\displaystyle 18710091$

$\displaystyle 19710001$

$\displaystyle 17748001$

Correct answer:

$\displaystyle 17740971$

Explanation:

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

$1971\times 1 =1971$ $\displaystyle 1971\times 1 =1971$

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.

$1971\times 9=17739$ $\displaystyle 1971\times 9=17739$

Add three zeros to the end of this number.

$\displaystyle 17739000$

Add this number with the first number.

$\displaystyle 17739000+1971 = 17740971$

The answer is: $\displaystyle 17740971$

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Algebra II : Elementary Operations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #121 : Elementary Operations

Example Question #122 : Elementary Operations

Example Question #123 : Elementary Operations

Example Question #124 : Elementary Operations

Example Question #125 : Elementary Operations

Example Question #126 : Elementary Operations

Example Question #127 : Elementary Operations

Example Question #128 : Elementary Operations

Example Question #21 : Multiplication And Division

Example Question #130 : Elementary Operations

All Algebra II Resources

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