Algebra 1 : How to add integers

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #187 : Real Numbers

Add the integers:  \displaystyle 894+32

Possible Answers:

\displaystyle 916

\displaystyle 836

\displaystyle 936

\displaystyle 926

\displaystyle 826

Correct answer:

\displaystyle 926

Explanation:

Add the ones digits.

\displaystyle 4+2=6

Add the tens digits.

\displaystyle 9+3=12

Since this number is 10 or greater, we will use the tens place as the carryover.

Add the hundreds place with the carryover.  The hundreds place for number \displaystyle 32 is zero.

\displaystyle 8+0+(1) =9

Combine the ones digits.

The answer is:  \displaystyle 926

Example Question #182 : Integer Operations

Add the integers:  \displaystyle 62+97

Possible Answers:

\displaystyle 154

\displaystyle 169

\displaystyle 159

\displaystyle 164

\displaystyle 259

Correct answer:

\displaystyle 159

Explanation:

Add the ones digits.

\displaystyle 2+7=9

Add the tens digits.

\displaystyle 6+9=15

Combine the numbers.

The answer is:  \displaystyle 159

Example Question #189 : Real Numbers

Add the following numbers:  \displaystyle {12,24,23}

Possible Answers:

\displaystyle 59

\displaystyle 69

\displaystyle 58

\displaystyle 68

\displaystyle 70

Correct answer:

\displaystyle 59

Explanation:

Set up an expression to add the numbers.

\displaystyle 12+24+23

Add the ones digits.

\displaystyle 2+4+3=9

Add the tens digits.

\displaystyle 1+2+2=5

Combine both numbers.

The answer is;  \displaystyle 59

Example Question #190 : Real Numbers

Add the following integers: \displaystyle 867+1389

Possible Answers:

\displaystyle 9960

\displaystyle 1159

\displaystyle 2256

\displaystyle 2265

\displaystyle 1256

Correct answer:

\displaystyle 2256

Explanation:

Add the ones digits.

\displaystyle 7+9=16

The tens place is the carryover.

Add the tens digits with the carryover.

\displaystyle 6+8+(1) = 15

The tens place is the carryover.

Add the hundreds digits with the carryover.

\displaystyle 8+3 +(1)=12

The tens place is the carryover.

Add the thousands place. The thousands place for \displaystyle 867 is zero.

\displaystyle 0+1+(1) =2

Combine all the ones digits from the previous calculations.

The answer is: \displaystyle 2256

Example Question #191 : Integer Operations

Add the following integers:  \displaystyle 482 + 37

Possible Answers:

\displaystyle 852

\displaystyle 519

\displaystyle 589

\displaystyle 509

\displaystyle 752

Correct answer:

\displaystyle 519

Explanation:

Add the ones digits.

\displaystyle 2+7 = 9

Add the tens digits.

\displaystyle 8+3=11

The carryover for this number is the tens digit, \displaystyle 1.

Add the hundreds digits with the carryover.  The hundreds digit for \displaystyle 37 is zero.

\displaystyle 4+0+(1)=5

The answer is:  \displaystyle 519

Example Question #191 : Integer Operations

Add: \displaystyle 597+381

Possible Answers:

\displaystyle 987

\displaystyle 888

\displaystyle 878

\displaystyle 988

\displaystyle 978

Correct answer:

\displaystyle 978

Explanation:

Add the ones digits.

\displaystyle 7+1=8

Add the tens digits.

\displaystyle 9+8=17

The carryover is the tens digit, which is \displaystyle 1.

Add the hundreds digit with the carryover.

\displaystyle 5+3+(1)=9

Combine all the ones digits from the previous calculations.

The answer is: \displaystyle 978

Example Question #192 : Integer Operations

Add the following numbers: \displaystyle [12,31,18]

Possible Answers:

\displaystyle 51

\displaystyle 61

\displaystyle 71

\displaystyle 41

\displaystyle 81

Correct answer:

\displaystyle 61

Explanation:

Write an expression to add the numbers.

\displaystyle 12+31+18

Add the ones digits.

\displaystyle 2+1+8=11

The carryover is the tens place.

Add the tens digits with the carryover.

\displaystyle 1+3+1+(1) = 6

Combine the ones digits of each calculation.

The answer is: \displaystyle 61

Example Question #2651 : Algebra 1

Add the integers:  \displaystyle 943+182

Possible Answers:

\displaystyle 1135

\displaystyle 1225

\displaystyle 1125

\displaystyle 1035

\displaystyle 1025

Correct answer:

\displaystyle 1125

Explanation:

Add the ones digits.

\displaystyle 3+2 =5

Add the tens digits.

\displaystyle 4+8=12

The tens place of this number will be the carryover.

Add the hundreds digits with the carryover.

\displaystyle 9+1+(1) = 11

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

The answer is:  \displaystyle 1125

Example Question #2651 : Algebra 1

Add the integers:  \displaystyle [23,93,17,52]

Possible Answers:

\displaystyle 185

\displaystyle 195

\displaystyle 205

\displaystyle 175

\displaystyle 165

Correct answer:

\displaystyle 185

Explanation:

Add the ones digits.

\displaystyle 3+3+7+2+ = 15

The tens place is the carryover.

Add the tens digits with the carryover.

\displaystyle 2+9+1+5+(1)= 18

Combine this number with the ones digit of the first calculation.

The answer is:  \displaystyle 185

Example Question #191 : Integer Operations

Add:  \displaystyle 2359 + 167

Possible Answers:

\displaystyle 3920

\displaystyle 2516

\displaystyle 2416

\displaystyle 2426

\displaystyle 2526

Correct answer:

\displaystyle 2526

Explanation:

Add the ones digits.

\displaystyle 9+7=16

The tens place is the carryover.

Add the tens digits with the carryover.

\displaystyle 5+6+(1)=12

The tens place is the carryover.

Add the hundreds digits with the carryover.

\displaystyle 3+1+(1)=5

There is no carryover since there is no tens digit.

The thousands digit remain the same.

Combine the thousands, hundreds, tens, and ones digits in order.

The answer is:  \displaystyle 2526

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