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Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #33 : Multiplication And Division

Multiply the numbers: $853\times 62$ $\displaystyle 853\times 62$

Possible Answers:

52896 $\displaystyle 52896$

52886 $\displaystyle 52886$

51786 $\displaystyle 51786$

51996 $\displaystyle 51996$

53786 $\displaystyle 53786$

Correct answer:

52886 $\displaystyle 52886$

Explanation:

Multiply 853 with the ones digit of the second number.

$853\times 2=1706$ $\displaystyle 853\times 2=1706$

Save this number.

Multiply 853 with the tens digit of the second number.

$853\times 6=5118$ $\displaystyle 853\times 6=5118$

Add a zero to this number.

51180 $\displaystyle 51180$

Add this number with the saved number.

$\displaystyle 51180+1706 = 52886$

The answer is: 52886 $\displaystyle 52886$

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Example Question #2351 : Mathematical Relationships And Basic Graphs

Multiply the two numbers: $263\times 83$ $\displaystyle 263\times 83$

Possible Answers:

23829 $\displaystyle 23829$

20829 $\displaystyle 20829$

21729 $\displaystyle 21729$

21829 $\displaystyle 21829$

21839 $\displaystyle 21839$

Correct answer:

21829 $\displaystyle 21829$

Explanation:

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

$263\times 3 = 789$ $\displaystyle 263\times 3 = 789$

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

$263\times 8 = 2104$ $\displaystyle 263\times 8 = 2104$

Add a zero to the end of this number.

21040 $\displaystyle 21040$

Add this number with the first number.

$\displaystyle 21040+789 = 21829$

The answer is: 21829 $\displaystyle 21829$

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Example Question #41 : Multiplication And Division

Multiply: $95\times 84$ $\displaystyle 95\times 84$

Possible Answers:

9460 $\displaystyle 9460$

1040 $\displaystyle 1040$

1140 $\displaystyle 1140$

7980 $\displaystyle 7980$

5290 $\displaystyle 5290$

Correct answer:

7980 $\displaystyle 7980$

Explanation:

Multiply the first number with the ones digit of 84.

$95\times 4=380$ $\displaystyle 95\times 4=380$

Multiply the first number with the tens digit of 84.

$95\times 8=760$ $\displaystyle 95\times 8=760$

Add an extra zero to this number.

7600 $\displaystyle 7600$

Add this number with the first number.

$\displaystyle 7600+380 = 7980$

The answer is: 7980 $\displaystyle 7980$

Report an Error

Example Question #43 : Multiplication And Division

Multiply the following numbers: $597\times 84$ $\displaystyle 597\times 84$

Possible Answers:

49988 $\displaystyle 49988$

49738 $\displaystyle 49738$

50148 $\displaystyle 50148$

50338 $\displaystyle 50338$

49138 $\displaystyle 49138$

Correct answer:

50148 $\displaystyle 50148$

Explanation:

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

$597\times 4 =2388$ $\displaystyle 597\times 4 =2388$

Save this value.

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

$597\times 8 =4766$ $\displaystyle 597\times 8 =4766$

Add a zero to the end of this number.

47660 $\displaystyle 47660$

Add this number with the saved number.

$\displaystyle 47660+2388 = 50148$

The answer is: 50148 $\displaystyle 50148$

Report an Error

Example Question #44 : Multiplication And Division

Multiply the following numbers: $469\times 59$ $\displaystyle 469\times 59$

Possible Answers:

28971 $\displaystyle 28971$

26671 $\displaystyle 26671$

27671 $\displaystyle 27671$

28671 $\displaystyle 28671$

27571 $\displaystyle 27571$

Correct answer:

27671 $\displaystyle 27671$

Explanation:

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

$469\times9= 4221$ $\displaystyle 469\times9= 4221$

Save this value.

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

$469\times5= 2345$ $\displaystyle 469\times5= 2345$

Add a zero to the end of this number.

23450 $\displaystyle 23450$

Add this number with the saved number.

$\displaystyle 23450+4221= 27671$

The answer is: 27671 $\displaystyle 27671$

Report an Error

Example Question #45 : Multiplication And Division

Multiply the following numbers: $566\times 56$ $\displaystyle 566\times 56$

Possible Answers:

38356 $\displaystyle 38356$

37356 $\displaystyle 37356$

31696 $\displaystyle 31696$

31896 $\displaystyle 31896$

32796 $\displaystyle 32796$

Correct answer:

31696 $\displaystyle 31696$

Explanation:

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

$566\times 6 = 3396$ $\displaystyle 566\times 6 = 3396$

Save this value.

$566\times 5=2830$ $\displaystyle 566\times 5=2830$

Add a zero to the end of this number.

28300 $\displaystyle 28300$

Add this number with the saved number.

$\displaystyle 28300+3396 = 31696$

The answer is: 31696 $\displaystyle 31696$

Report an Error

Example Question #46 : Multiplication And Division

Solve the expression: $217\times 549$ $\displaystyle 217\times 549$

Possible Answers:

129133 $\displaystyle 129133$

391803 $\displaystyle 391803$

110633 $\displaystyle 110633$

129243 $\displaystyle 129243$

119133 $\displaystyle 119133$

Correct answer:

119133 $\displaystyle 119133$

Explanation:

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

$217\times 9 = 1953$ $\displaystyle 217\times 9 = 1953$

Save this value.

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

$217\times 4 = 868$ $\displaystyle 217\times 4 = 868$

Add a zero to the end of this number.

8680 $\displaystyle 8680$

Save this value.

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

$217\times 5 = 1085$ $\displaystyle 217\times 5 = 1085$

Add two zeros to the end of this number.

108500 $\displaystyle 108500$

Add this number with the saved numbers.

$\displaystyle 108500+8680+1953 = 119133$

The answer is: 119133 $\displaystyle 119133$

Report an Error

Example Question #47 : Multiplication And Division

Multiply the numbers: $226\times 89$ $\displaystyle 226\times 89$

Possible Answers:

20014 $\displaystyle 20014$

20114 $\displaystyle 20114$

19224 $\displaystyle 19224$

19214 $\displaystyle 19214$

20214 $\displaystyle 20214$

Correct answer:

20114 $\displaystyle 20114$

Explanation:

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

$226\times 9 = 2034$ $\displaystyle 226\times 9 = 2034$

Save this number.

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

$226\times8=1808$ $\displaystyle 226\times8=1808$

Add a zero to this number.

18080 $\displaystyle 18080$

Add this number with the saved number.

$\displaystyle 18080+2034 = 20114$

The answer is: 20114 $\displaystyle 20114$

Report an Error

Example Question #5021 : Algebra Ii

Multiply the following numbers: $359\times 84$ $\displaystyle 359\times 84$

Possible Answers:

28856 $\displaystyle 28856$

29856 $\displaystyle 29856$

28966 $\displaystyle 28966$

32156 $\displaystyle 32156$

30156 $\displaystyle 30156$

Correct answer:

30156 $\displaystyle 30156$

Explanation:

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

$359\times 4= 1436$ $\displaystyle 359\times 4= 1436$

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

$359\times 8 = 2872$ $\displaystyle 359\times 8 = 2872$

Add a zero to this number.

28720 $\displaystyle 28720$

Add this number with the first number.

$\displaystyle 28720+1436 = 30156$

Report an Error

Example Question #5022 : Algebra Ii

Multiply: $97\times 86$ $\displaystyle 97\times 86$

Possible Answers:

8242 $\displaystyle 8242$

8452 $\displaystyle 8452$

8152 $\displaystyle 8152$

7352 $\displaystyle 7352$

8342 $\displaystyle 8342$

Correct answer:

8342 $\displaystyle 8342$

Explanation:

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

$97 \times 6 =582$ $\displaystyle 97 \times 6 =582$

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

$97\times 8=776$ $\displaystyle 97\times 8=776$

Add a zero to the end of this number.

7760 $\displaystyle 7760$

Add this with the first number.

$\displaystyle 7760+582 = 8342$

The answer is: 8342 $\displaystyle 8342$

Report an Error

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Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #33 : Multiplication And Division

Example Question #2351 : Mathematical Relationships And Basic Graphs

Example Question #41 : Multiplication And Division

Example Question #43 : Multiplication And Division

Example Question #44 : Multiplication And Division

Example Question #45 : Multiplication And Division

Example Question #46 : Multiplication And Division

Example Question #47 : Multiplication And Division

Example Question #5021 : Algebra Ii

Example Question #5022 : Algebra Ii

All Algebra II Resources

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