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Algebra II : Elementary Operations

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Example Questions

Example Question #21 : Elementary Operations

Add the following numbers: $\displaystyle 1965+3979+2013$

Possible Answers:

7957 $\displaystyle 7957$

7867 $\displaystyle 7867$

7797 $\displaystyle 7797$

7857 $\displaystyle 7857$

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

Correct answer:

7957 $\displaystyle 7957$

Explanation:

Add the ones digits.

$\displaystyle 5+9+3=17$

The carryover is the tens place.

Add the tens digits with the carryover.

$\displaystyle 6+7+1+(1)= 15$

The carryover is the tens place.

Add the hundreds digits with the carryover.

$\displaystyle 9+9+0+(1)=19$

The carryover is the tens place.

Add the thousands digits with the carryover.

$\displaystyle 1+3+2+(1)=7$

The answer is: 7957 $\displaystyle 7957$

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Example Question #22 : Elementary Operations

Solve: $\displaystyle 117+981+318+996$

Possible Answers:

2412 $\displaystyle 2412$

2392 $\displaystyle 2392$

2411 $\displaystyle 2411$

2301 $\displaystyle 2301$

1921 $\displaystyle 1921$

Correct answer:

2412 $\displaystyle 2412$

Explanation:

Add the ones digits.

$\displaystyle 7+1+8+6 = 22$

The two in the tens digit is the carryover.

Add the tens digits with the carryover.

$\displaystyle 1+8+1+9+(2) = 21$

The two in the tens digit is the carryover.

Add the hundreds digits with the carryover.

$\displaystyle 1+9+3+9+(2) = 24$

Combine this number with the ones digits from the previous calculations.

The answer is: 2412 $\displaystyle 2412$

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Example Question #23 : Elementary Operations

Subtract the numbers: $\displaystyle 5918-816$

Possible Answers:

5002 $\displaystyle 5002$

5102 $\displaystyle 5102$

5012 $\displaystyle 5012$

4992 $\displaystyle 4992$

5092 $\displaystyle 5092$

Correct answer:

5102 $\displaystyle 5102$

Explanation:

Subtract the ones digits.

8-6=2 $\displaystyle 8-6=2$

Subtract the tens digits. There is no need to borrow a one.

1-1=0 $\displaystyle 1-1=0$

Subtract the hundreds digits.

9-8=1 $\displaystyle 9-8=1$

The thousands digit will remain the same.

The answer is: 5102 $\displaystyle 5102$

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Example Question #24 : Elementary Operations

Sum the following numbers: $\displaystyle 6541+9785$

Possible Answers:

16236 $\displaystyle 16236$

16326 $\displaystyle 16326$

16426 $\displaystyle 16426$

13266 $\displaystyle 13266$

16116 $\displaystyle 16116$

Correct answer:

16326 $\displaystyle 16326$

Explanation:

Add the ones digits.

1+5=6 $\displaystyle 1+5=6$

Add the tens digits.

4+8=12 $\displaystyle 4+8=12$

The tens digit of this number will be the carryover.

Add the hundreds digits with the carryover.

$\displaystyle 5+7+(1)= 13$

The tens digit of this number will be the carryover.

Add the thousands digits with the carryover.

$\displaystyle 6+9+(1)= 16$

Combine this number with the ones digits of the other numbers.

The answer is: 16326 $\displaystyle 16326$

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Example Question #25 : Elementary Operations

Add the following numbers: $\displaystyle 1934+7199+3286$

Possible Answers:

12419 $\displaystyle 12419$

13429 $\displaystyle 13429$

12491 $\displaystyle 12491$

11439 $\displaystyle 11439$

13419 $\displaystyle 13419$

Correct answer:

12419 $\displaystyle 12419$

Explanation:

Add the ones digits.

$\displaystyle 4+9+6 = 19$

The carryover is the tens place.

Add the tens digits with the carryover.

$\displaystyle 3+9+8+(1) = 21$

The carryover is the tens place.

Add the hundreds digits with the carryover.

$\displaystyle 9+1+2+(2) = 14$

The carryover is the tens place.

Add the thousands digits with the carryover.

$\displaystyle 1+7+3+(1) = 12$

Combine this number with the other three numbers from the previous calculations.

The answer is: 12419 $\displaystyle 12419$

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Example Question #26 : Elementary Operations

Add the numbers: $\displaystyle 178+308+499$

Possible Answers:

975 $\displaystyle 975$

885 $\displaystyle 885$

965 $\displaystyle 965$

985 $\displaystyle 985$

865 $\displaystyle 865$

Correct answer:

985 $\displaystyle 985$

Explanation:

Add the ones digits.

$\displaystyle 8+8+9=25$

Add the tens digits with the tens digit of this number as the carryover.

$\displaystyle 7+0+9+(2) =18$

The tens digit is the carryover.

Add the hundreds digits with the carryover.

$\displaystyle 1+3+4+(1)=9$

Combine all the numbers.

The answer is: 985 $\displaystyle 985$

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Example Question #27 : Elementary Operations

Subtract the numbers: $\displaystyle 9178-539$

Possible Answers:

8539 $\displaystyle 8539$

9539 $\displaystyle 9539$

8649 $\displaystyle 8649$

8639 $\displaystyle 8639$

Correct answer:

8639 $\displaystyle 8639$

Explanation:

Borrow a one from the tens place of the first number. The tens digit will become six.

Subtract the ones digits.

18-9=9 $\displaystyle 18-9=9$

Subtract the tens digits. The tens digit will become six.

6-3 =3 $\displaystyle 6-3 =3$

Borrow a one from the thousands place in order to subtract the hundreds digits.

Subtract the hundreds digits.

11-5=6 $\displaystyle 11-5=6$

The thousands place will become eight.

Combine the numbers.

The answer is: 8639 $\displaystyle 8639$

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Example Question #28 : Elementary Operations

Sum the numbers: $\displaystyle 62+89+39+17$

Possible Answers:

197 $\displaystyle 197$

187 $\displaystyle 187$

207 $\displaystyle 207$

217 $\displaystyle 217$

227 $\displaystyle 227$

Correct answer:

207 $\displaystyle 207$

Explanation:

Add the ones digits.

$\displaystyle 2+9+9+7 = 27$

The carryover is the tens place.

Add the tens digits with the number in the tens place.

$\displaystyle 6+8+3+1+(2) = 20$

Combine this number with the ones digit.

The answer is: 207 $\displaystyle 207$

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Example Question #29 : Elementary Operations

Add the following numbers: $\displaystyle 3059+1793+4499$

Possible Answers:

8531 $\displaystyle 8531$

8351 $\displaystyle 8351$

9331 $\displaystyle 9331$

9351 $\displaystyle 9351$

9531 $\displaystyle 9531$

Correct answer:

9351 $\displaystyle 9351$

Explanation:

Add the ones digits.

$\displaystyle 9+3+9 = 21$

The tens place of this number is two and will be the carryover.

Add the tens digits with the carryover.

$\displaystyle 5+9+9+(2) = 25$

The tens place of this number is two and will be the carryover.

Add the hundreds digits with the carryover.

$\displaystyle 0+7+4+(2) = 13$

The tens place of this number is one and will be the carryover.

Add the thousands places with the carryover.

$\displaystyle 3+1+4+(1) = 9$

Combine this number with the ones digits from the previous calculations.

The answer is: 9351 $\displaystyle 9351$

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Example Question #30 : Elementary Operations

Subtract the numbers: 915-469 $\displaystyle 915-469$

Possible Answers:

446 $\displaystyle 446$

546 $\displaystyle 546$

436 $\displaystyle 436$

536 $\displaystyle 536$

556 $\displaystyle 556$

Correct answer:

446 $\displaystyle 446$

Explanation:

Borrow a one from the tens digit of 915 in order to subtract the ones digits. The tens digit of 915 becomes zero.

15-9=6 $\displaystyle 15-9=6$

Borrow a one from the hundreds digit of 915 in order to subtract the tens digits. The hundreds digit becomes an eight.

$\displaystyle 10-6 = 4$

Subtract the hundreds digits.

8-4=4 $\displaystyle 8-4=4$

Combine the numbers.

The answer is: 446 $\displaystyle 446$

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Algebra II : Elementary Operations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #21 : Elementary Operations

Example Question #22 : Elementary Operations

Example Question #23 : Elementary Operations

Example Question #24 : Elementary Operations

Example Question #25 : Elementary Operations

Example Question #26 : Elementary Operations

Example Question #27 : Elementary Operations

Example Question #28 : Elementary Operations

Example Question #29 : Elementary Operations

Example Question #30 : Elementary Operations

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