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Add 1875 and 358.
$\begin{array}{ccc}5+8=13\hfill & & \text{Write 3, carry 1 ten.}\hfill \\ 1+7+5=13\hfill & & \text{Write 3, carry 1 hundred.}\hfill \\ 1+8+3=12\hfill & & \text{Write 2, carry 1 thousand.}\hfill \\ 1+1=2\hfill & & \hfill \end{array}$
The sum is 2233.
Add 89,208 and 4,946.
$\begin{array}{ccc}8+6=14\hfill & & \text{Write 4, carry 1 ten.}\hfill \\ 1+0+4=5\hfill & & \text{Write the 5 (nothing to carry).}\hfill \\ 2+9=11\hfill & & \text{Write 1, carry one thousand.}\hfill \\ 1+9+4=14\hfill & & \text{Write 4, carry one ten thousand.}\hfill \\ 1+8=9\hfill & & \hfill \end{array}$
The sum is 94,154.
Add 38 and 95.
$\begin{array}{ccc}8+5=13\hfill & & \text{Write 3, carry 1 ten.}\hfill \\ 1+3+9=13\hfill & & \text{Write 3, carry 1 hundred.}\hfill \\ 1+0=1\hfill & & \hfill \end{array}$
As you proceed with the addition, it is a good idea to keep in mind what is actually happening.
The sum is 133.
Find the sum 2648, 1359, and 861.
$\begin{array}{ccc}8+9+1=18\hfill & & \text{Write 8, carry 1 ten.}\hfill \\ 1+4+5+6=16\hfill & & \text{Write 6, carry 1 hundred.}\hfill \\ 1+6+3+8=18\hfill & & \text{Write 8, carry 1 thousand.}\hfill \\ 1+2+1=4\hfill & & \hfill \end{array}$
The sum is 4,868.
Numbers other than 1 can be carried as illustrated in [link] .
Find the sum of the following numbers.
$\begin{array}{ccc}6+5+1+7=19\hfill & & \text{Write 9, carry the 1.}\hfill \\ 1+1+0+5+1=8\hfill & & \text{Write 8.}\hfill \\ 0+9+9+8=26\hfill & & \text{Write 6, carry the 2.}\hfill \\ 2+8+9+8+6=33\hfill & & \text{Write 3, carry the 3.}\hfill \\ 3+7+3+5=18\hfill & & \text{Write 8, carry the 1.}\hfill \\ 1+8=9\hfill & & \text{Write 9.}\hfill \end{array}$
The sum is 983,689.
The number of students enrolled at Riemann College in the years 1984, 1985, 1986, and 1987 was 10,406, 9,289, 10,108, and 11,412, respectively. What was the total number of students enrolled at Riemann College in the years 1985, 1986, and 1987?
We can determine the total number of students enrolled by adding 9,289, 10,108, and 11,412, the number of students enrolled in the years 1985, 1986, and 1987.
The total number of students enrolled at Riemann College in the years 1985, 1986, and 1987 was 30,809.
Perform each addition. For the next three problems, show the expanded form.
Add 58 and 29.
87
$\begin{array}{c}=7\phantom{\rule{2px}{0ex}}\text{tens}+1\phantom{\rule{2px}{0ex}}\text{ten}+7\phantom{\rule{2px}{0ex}}\text{ones}\hfill \\ =8\phantom{\rule{2px}{0ex}}\text{tens}+7\phantom{\rule{2px}{0ex}}\text{ones}\hfill \\ =87\hfill \end{array}$
Add 476 and 85.
561
$\begin{array}{c}\hfill \text{= 4 hundreds + 15 tens + 1 ten + 1 one}\\ \hfill \text{= 4 hundreds + 16 tens + 1 one}\\ \hfill \text{= 4 hundreds + 1 hundred + 6 tens + 1 one}\\ \hfill \text{= 5 hundreds + 6 tens + 1 one}\\ \hfill =561\end{array}$
Add 27 and 88.
115
$\begin{array}{c}\text{= 10 tens + 1 ten + 5 ones}\hfill \\ \text{= 11 tens + 5 ones}\hfill \\ \text{= 1 hundred + 1 ten + 5 ones}\hfill \\ =115\hfill \end{array}$
Add 67,898 and 85,627.
153,525
For the next three problems, find the sums.
$\begin{array}{c}\hfill 57\\ \hfill 26\\ \hfill \underline{84}\end{array}$
167
$\begin{array}{c}\hfill 847\\ \hfill 825\\ \hfill \underline{796}\end{array}$
2,468
$\begin{array}{c}\hfill \mathrm{16,945}\\ \hfill \mathrm{8,472}\\ \hfill \mathrm{387,721}\\ \hfill \mathrm{21,059}\\ \hfill \underline{\text{629}}\end{array}$
434,826
Calculators provide a very simple and quick way to find sums of whole numbers. For the two problems in Sample Set C, assume the use of a calculator that does not require the use of an ENTER key (such as many Hewlett-Packard calculators).
Use a calculator to find each sum.
$\text{34}+\text{21}$ | Display Reads | |
Type | 34 | 34 |
Press | + | 34 |
Type | 21 | 21 |
Press | = | 55 |
The sum is 55.
$\text{106}+\text{85}+\text{322}+\text{406}$ | Display Reads | ||
Type | 106 | 106 | The calculator keeps a running subtotal |
Press | + | 106 | |
Type | 85 | 85 | |
Press | = | 191 | ← $\text{106}+\text{85}$ |
Type | 322 | 322 | |
Press | + | 513 | ← $\text{191}+\text{322}$ |
Type | 406 | 406 | |
Press | = | 919 | ← $\text{513}+\text{406}$ |
The sum is 919.
Use a calculator to find the following sums.
$\text{62}+\text{81}+\text{12}$
155
$\mathrm{9,}\text{261}+\mathrm{8,}\text{543}+\text{884}+\mathrm{1,}\text{062}$
19,750
$\text{10},\text{221}+\mathrm{9,}\text{016}+\text{11},\text{445}$
30,682
For the following problems, perform the additions. If you can, check each sum with a calculator.
$\text{14}+5$
19
$\text{12}+7$
$\text{46}+2$
48
$\text{83}+\text{16}$
$\text{77}+\text{21}$
98
$\begin{array}{c}\hfill 321\\ \hfill \underline{+42}\end{array}$
$\begin{array}{c}\hfill 916\\ \hfill \underline{+62}\end{array}$
978
$\begin{array}{c}\hfill 104\\ \hfill \underline{+561}\end{array}$
$\begin{array}{c}\hfill 265\\ \hfill \underline{+103}\end{array}$
368
$\text{552}+\text{237}$
$\mathrm{8,}\text{521}+\mathrm{4,}\text{256}$
12,777
$\begin{array}{c}\hfill \mathrm{16,408}\\ \hfill \underline{+\mathrm{3,101}}\end{array}$
$\begin{array}{c}\hfill \mathrm{16,515}\\ \hfill \underline{+\mathrm{42,223}}\end{array}$
58,738
$\text{616},\text{702}+\text{101},\text{161}$
$\text{43},\text{156},\text{219}+\mathrm{2,}\text{013},\text{520}$
45,169,739
$\text{17}+6$
$\text{25}+8$
33
$\begin{array}{c}\hfill 84\\ \hfill \underline{+7}\end{array}$
$\begin{array}{c}\hfill 75\\ \hfill \underline{+6}\end{array}$
81
$\text{36}+\text{48}$
$\text{74}+\text{17}$
91
$\text{486}+\text{58}$
$\text{743}+\text{66}$
809
$\text{381}+\text{88}$
$\begin{array}{c}\hfill 687\\ \hfill \underline{+175}\end{array}$
862
$\begin{array}{c}\hfill 931\\ \hfill \underline{+853}\end{array}$
$\mathrm{1,}\text{428}+\text{893}$
2,321
$\text{12},\text{898}+\text{11},\text{925}$
$\begin{array}{c}\hfill \mathrm{631,464}\\ \hfill \underline{+\mathrm{509,740}}\end{array}$
1,141,204
$\begin{array}{c}\hfill \mathrm{805,996}\\ \hfill \underline{+\mathrm{98,516}}\end{array}$
$\begin{array}{c}\hfill \mathrm{38,428,106}\\ \hfill \underline{+\mathrm{522,936,005}}\end{array}$
561,364,111
$\mathrm{5,}\text{288},\text{423},\text{100}+\text{16},\text{934},\text{785},\text{995}$
$\text{98},\text{876},\text{678},\text{521},\text{402}+\text{843},\text{425},\text{685},\text{685},\text{658}$
942,302,364,207,060
$\text{41}+\text{61}+\text{85}+\text{62}$
$\text{21}+\text{85}+\text{104}+9+\text{15}$
234
$\begin{array}{c}\hfill 116\\ \hfill 27\\ \hfill 110\\ \hfill 110\\ \hfill \underline{+8}\end{array}$
$\begin{array}{c}\hfill \mathrm{75,206}\\ \hfill \mathrm{4,152}\\ \hfill \underline{+\mathrm{16,007}}\end{array}$
95,365
$\begin{array}{c}\hfill \mathrm{8,226}\\ \hfill 143\\ \hfill \mathrm{92,015}\\ \hfill 8\\ \hfill \mathrm{487,553}\\ \hfill \underline{\mathrm{5,218}}\end{array}$
$\begin{array}{c}\hfill \mathrm{50,006}\\ \hfill \mathrm{1,005}\\ \hfill \mathrm{100,300}\\ \hfill \mathrm{20,008}\\ \hfill \mathrm{1,000,009}\\ \hfill \underline{\mathrm{800,800}}\end{array}$
1,972,128
$\begin{array}{c}\hfill 616\\ \hfill \mathrm{42,018}\\ \hfill \mathrm{1,687}\\ \hfill 225\\ \hfill \mathrm{8,623,418}\\ \hfill \mathrm{12,506,508}\\ \hfill 19\\ \hfill \mathrm{2,121}\\ \hfill \underline{\mathrm{195,643}}\end{array}$
For the following problems, perform the additions and round to the nearest hundred.
$\begin{array}{c}\hfill \mathrm{1,468}\\ \hfill \underline{\mathrm{2,183}}\end{array}$
3,700
$\begin{array}{c}\hfill \mathrm{928,725}\\ \hfill \underline{\mathrm{15,685}}\end{array}$
$\begin{array}{c}\hfill \mathrm{82,006}\\ \hfill \underline{\mathrm{3,019,528}}\end{array}$
3,101,500
$\begin{array}{c}\hfill \mathrm{18,621}\\ \hfill \underline{\mathrm{5,059}}\end{array}$
$\begin{array}{c}\hfill 92\\ \hfill \underline{48}\end{array}$
100
$\begin{array}{c}\hfill 16\\ \hfill \underline{37}\end{array}$
$\begin{array}{c}\hfill 21\\ \hfill \underline{16}\end{array}$
0
$\begin{array}{c}\hfill \mathrm{11,172}\\ \hfill \mathrm{22,749}\\ \hfill \underline{\mathrm{12,248}}\end{array}$
$\begin{array}{c}\hfill 240\\ \hfill 280\\ \hfill 210\\ \hfill \underline{310}\end{array}$
1,000
$\begin{array}{c}\hfill \mathrm{9,573}\\ \hfill \mathrm{101,279}\\ \hfill \underline{\mathrm{122,581}}\end{array}$
For the next five problems, replace the letter $m$ with the whole number that will make the addition true.
$\begin{array}{c}\hfill 62\\ \hfill \underline{+m}\\ \hfill 67\end{array}$
5
$\begin{array}{c}\hfill 106\\ \hfill \underline{+m}\\ \hfill 113\end{array}$
$\begin{array}{c}\hfill 432\\ \hfill \underline{+m}\\ \hfill 451\end{array}$
19
$\begin{array}{c}\hfill 803\\ \hfill \underline{+m}\\ \hfill 830\end{array}$
$\begin{array}{c}\hfill \mathrm{1,893}\\ \hfill \underline{+m}\\ \hfill \mathrm{1,981}\end{array}$
88
The number of nursing and related care facilities in the United States in 1971 was 22,004. In 1978, the number was 18,722. What was the total number of facilities for both 1971 and 1978?
The number of persons on food stamps in 1975, 1979, and 1980 was 19,179,000, 19,309,000, and 22,023,000, respectively. What was the total number of people on food stamps for the years 1975, 1979, and 1980?
60,511,000
The enrollment in public and nonpublic schools in the years 1965, 1970, 1975, and 1984 was 54,394,000, 59,899,000, 61,063,000, and 55,122,000, respectively. What was the total enrollment for those years?
The area of New England is 3,618,770 square miles. The area of the Mountain states is 863,563 square miles. The area of the South Atlantic is 278,926 square miles. The area of the Pacific states is 921,392 square miles. What is the total area of these regions?
5,682,651 square miles
In 1960, the IRS received 1,188,000 corporate income tax returns. In 1965, 1,490,000 returns were received. In 1970, 1,747,000 returns were received. In 1972 —1977, 1,890,000; 1,981,000; 2,043,000; 2,100,000; 2,159,000; and 2,329,000 returns were received, respectively. What was the total number of corporate tax returns received by the IRS during the years 1960, 1965, 1970, 1972 —1977?
Find the total number of scientists employed in 1974.
1,190,000
Find the total number of sales for space vehicle systems for the years 1965-1980.
Find the total baseball attendance for the years 1960-1980.
271,564,000
Find the number of prosecutions of federal officials for 1970-1980.
For the following problems, try to add the numbers mentally.
$\begin{array}{c}\hfill 5\\ \hfill 5\\ \hfill 3\\ \hfill \underline{7}\end{array}$
20
$\begin{array}{c}\hfill 8\\ \hfill 2\\ \hfill 6\\ \hfill \underline{4}\end{array}$
$\begin{array}{c}\hfill 9\\ \hfill 1\\ \hfill 8\\ \hfill 5\\ \hfill \underline{2}\end{array}$
25
$\begin{array}{c}\hfill 5\\ \hfill 2\\ \hfill 5\\ \hfill 8\\ \hfill 3\\ \hfill \underline{7}\end{array}$
$\begin{array}{c}\hfill 6\\ \hfill 4\\ \hfill 3\\ \hfill 1\\ \hfill 6\\ \hfill 7\\ \hfill 9\\ \hfill \underline{4}\end{array}$
40
$\begin{array}{c}\hfill \text{20}\\ \hfill \underline{\text{30}}\end{array}$
$\begin{array}{c}\hfill \text{15}\\ \hfill \underline{\text{35}}\end{array}$
50
$\begin{array}{c}\hfill \text{16}\\ \hfill \underline{\text{14}}\end{array}$
$\begin{array}{c}\hfill \text{23}\\ \hfill \underline{\text{27}}\end{array}$
50
$\begin{array}{c}\hfill \text{82}\\ \hfill \underline{\text{18}}\end{array}$
$\begin{array}{c}\hfill \text{36}\\ \hfill \underline{\text{14}}\end{array}$
50
( [link] ) Each period of numbers has its own name. From right to left, what is the name of the fourth period?
( [link] ) In the number 610,467, how many thousands are there?
0
( [link] ) Write 8,840 as you would read it.
( [link] ) Round 6,842 to the nearest hundred.
6,800
( [link] ) Round 431,046 to the nearest million.
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