Question Solve the following simple arithmetic expressions: 1) $120+12)+4=$ 2) $50+6 (11-4)=$ 3) $50+6 \times 11-4=$ 4) $9 (12-8)+28 \div 7=$ 5) $18-(21-5)+(22-18)=$ 6) $7 \times 2-(9+2)+14=$ 7) $(6 \div 3+5) \times(11-4)=$ 8) $9 \times 3+(20-18) \times 4-8=$ 9) $(37-17) \times(240 \div 20)-22 \times 4=$ 10) $11 \times 4-(6+3+13) \div 2=33$

Studdy Solution

STEP 1

Assumptions
1. We will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), commonly known as PEMDAS.
2. All operations will be performed without a calculator.
3. We will solve each expression step by step according to the order of operations.
Let's start solving each expression one by one.

STEP 2

Solve the first expression: $120+12)+4=$
There seems to be a typo in the expression. Assuming the correct expression is $120 + 12 + 4$ , we proceed with the addition.
$120 + 12 + 4$

STEP 3

Add the numbers together.
$120 + 12 + 4 = 136$
The solution to the first expression is $136$ .

STEP 4

Solve the second expression: $50+6 \times (11-4)=$
First, we solve the operation inside the parentheses.
$11 - 4 = 7$

STEP 5

Now, multiply the result by $6$ .
$6 \times 7 = 42$

STEP 6

Finally, add $50$ to the result.
$50 + 42 = 92$
The solution to the second expression is $92$ .

STEP 7

Solve the third expression: $50+6 \times 11-4=$
First, we perform the multiplication.
$6 \times 11 = 66$

STEP 8

Now, add $50$ to the result of the multiplication.
$50 + 66 = 116$

STEP 9

Finally, subtract $4$ from the result.
$116 - 4 = 112$
The solution to the third expression is $112$ .

STEP 10

Solve the fourth expression: $9 \times (12-8)+28 \div 7=$
First, solve the operation inside the parentheses.
$12 - 8 = 4$

STEP 11

Now, multiply the result by $9$ .
$9 \times 4 = 36$

STEP 12

Next, divide $28$ by $7$ .
$28 \div 7 = 4$

STEP 13

Finally, add the two results together.
$36 + 4 = 40$
The solution to the fourth expression is $40$ .

STEP 14

Solve the fifth expression: $18-(21-5)+(22-18)=$
First, solve the operations inside the parentheses.
$21 - 5 = 16$ $22 - 18 = 4$

STEP 15

Now, subtract the first result from $18$ .
$18 - 16 = 2$

STEP 16

Finally, add the second result to the previous result.
$2 + 4 = 6$
The solution to the fifth expression is $6$ .

STEP 17

Solve the sixth expression: $7 \times 2-(9+2)+14=$
First, multiply $7$ by $2$ .
$7 \times 2 = 14$

STEP 18

Next, add $9$ and $2$ .
$9 + 2 = 11$

STEP 19

Now, subtract the result of the addition from the result of the multiplication.
$14 - 11 = 3$

STEP 20

Finally, add $14$ to the previous result.
$3 + 14 = 17$
The solution to the sixth expression is $17$ .

STEP 21

Solve the seventh expression: $(6 \div 3+5) \times (11-4)=$
First, divide $6$ by $3$ and add $5$ to the result.
$6 \div 3 = 2$ $2 + 5 = 7$

STEP 22

Next, subtract $4$ from $11$ .
$11 - 4 = 7$

STEP 23

Finally, multiply the two results together.
$7 \times 7 = 49$
The solution to the seventh expression is $49$ .

STEP 24

Solve the eighth expression: $9 \times 3+(20-18) \times 4-8=$
First, multiply $9$ by $3$ .
$9 \times 3 = 27$

STEP 25

Next, subtract $18$ from $20$ and multiply the result by $4$ .
$20 - 18 = 2$ $2 \times 4 = 8$

STEP 26

Now, add the result of the multiplication to $27$ .
$27 + 8 = 35$

STEP 27

Finally, subtract $8$ from the previous result.
$35 - 8 = 27$
The solution to the eighth expression is $27$ .

STEP 28

Solve the ninth expression: $(37-17) \times (240 \div 20)-22 \times 4=$
First, subtract $17$ from $37$ .
$37 - 17 = 20$

STEP 29

Next, divide $240$ by $20$ .
$240 \div 20 = 12$

STEP 30

Now, multiply the two results together.
$20 \times 12 = 240$

STEP 31

Multiply $22$ by $4$ .
$22 \times 4 = 88$

STEP 32

Finally, subtract the result of the last multiplication from the previous multiplication result.
$240 - 88 = 152$
The solution to the ninth expression is $152$ .

STEP 33

Solve the tenth expression: $11 \times 4-(6+3+13) \div 2=33$
First, multiply $11$ by $4$ .
$11 \times 4 = 44$

STEP 34

Next, add $6$ , $3$ , and $13$ together.
$6 + 3 + 13 = 22$

STEP 35

Now, divide the result by $2$ .
$22 \div 2 = 11$

STEP 36

Finally, subtract the result of the division from the result of the multiplication.
$44 - 11 = 33$
The solution to the tenth expression is $33$ .

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Studdy Solution

STEP 1

STEP 2

Solve the first expression: 120+12)+4=120+12)+4=120+12)+4=There seems to be a typo in the expression. Assuming the correct expression is 120+12+4120 + 12 + 4120+12+4, we proceed with the addition.120+12+4120 + 12 + 4120+12+4

STEP 3

Add the numbers together.120+12+4=136120 + 12 + 4 = 136120+12+4=136The solution to the first expression is 136136136.

STEP 4

Solve the second expression: 50+6×(11−4)=50+6 \times (11-4)=50+6×(11−4)=First, we solve the operation inside the parentheses.11−4=711 - 4 = 711−4=7

STEP 5

Now, multiply the result by 666.6×7=426 \times 7 = 426×7=42

STEP 6

Finally, add 505050 to the result.50+42=9250 + 42 = 9250+42=92The solution to the second expression is 929292.

STEP 7

Solve the third expression: 50+6×11−4=50+6 \times 11-4=50+6×11−4=First, we perform the multiplication.6×11=666 \times 11 = 666×11=66

STEP 8

Now, add 505050 to the result of the multiplication.50+66=11650 + 66 = 11650+66=116

STEP 9

Finally, subtract 444 from the result.116−4=112116 - 4 = 112116−4=112The solution to the third expression is 112112112.

STEP 10

Solve the fourth expression: 9×(12−8)+28÷7=9 \times (12-8)+28 \div 7=9×(12−8)+28÷7=First, solve the operation inside the parentheses.12−8=412 - 8 = 412−8=4

STEP 11

Now, multiply the result by 999.9×4=369 \times 4 = 369×4=36

STEP 12

Next, divide 282828 by 777.28÷7=428 \div 7 = 428÷7=4

STEP 13

Finally, add the two results together.36+4=4036 + 4 = 4036+4=40The solution to the fourth expression is 404040.

STEP 14

Solve the fifth expression: 18−(21−5)+(22−18)=18-(21-5)+(22-18)=18−(21−5)+(22−18)=First, solve the operations inside the parentheses.21−5=1621 - 5 = 1621−5=16 22−18=422 - 18 = 422−18=4

STEP 15

Now, subtract the first result from 181818.18−16=218 - 16 = 218−16=2

STEP 16

Finally, add the second result to the previous result.2+4=62 + 4 = 62+4=6The solution to the fifth expression is 666.

STEP 17

Solve the sixth expression: 7×2−(9+2)+14=7 \times 2-(9+2)+14=7×2−(9+2)+14=First, multiply 777 by 222.7×2=147 \times 2 = 147×2=14

STEP 18

Next, add 999 and 222.9+2=119 + 2 = 119+2=11

STEP 19

Now, subtract the result of the addition from the result of the multiplication.14−11=314 - 11 = 314−11=3

STEP 20

Finally, add 141414 to the previous result.3+14=173 + 14 = 173+14=17The solution to the sixth expression is 171717.

STEP 21

Solve the seventh expression: (6÷3+5)×(11−4)=(6 \div 3+5) \times (11-4)=(6÷3+5)×(11−4)=First, divide 666 by 333 and add 555 to the result.6÷3=26 \div 3 = 26÷3=2 2+5=72 + 5 = 72+5=7

STEP 22

Next, subtract 444 from 111111.11−4=711 - 4 = 711−4=7

STEP 23

Finally, multiply the two results together.7×7=497 \times 7 = 497×7=49The solution to the seventh expression is 494949.

STEP 24

Solve the eighth expression: 9×3+(20−18)×4−8=9 \times 3+(20-18) \times 4-8=9×3+(20−18)×4−8=First, multiply 999 by 333.9×3=279 \times 3 = 279×3=27

STEP 25

Next, subtract 181818 from 202020 and multiply the result by 444.20−18=220 - 18 = 220−18=2 2×4=82 \times 4 = 82×4=8

STEP 26

Now, add the result of the multiplication to 272727.27+8=3527 + 8 = 3527+8=35

STEP 27

Finally, subtract 888 from the previous result.35−8=2735 - 8 = 2735−8=27The solution to the eighth expression is 272727.

STEP 28

Solve the ninth expression: (37−17)×(240÷20)−22×4=(37-17) \times (240 \div 20)-22 \times 4=(37−17)×(240÷20)−22×4=First, subtract 171717 from 373737.37−17=2037 - 17 = 2037−17=20

STEP 29

Next, divide 240240240 by 202020.240÷20=12240 \div 20 = 12240÷20=12

STEP 30

Now, multiply the two results together.20×12=24020 \times 12 = 24020×12=240

STEP 31

Multiply 222222 by 444.22×4=8822 \times 4 = 8822×4=88

STEP 32

Finally, subtract the result of the last multiplication from the previous multiplication result.240−88=152240 - 88 = 152240−88=152The solution to the ninth expression is 152152152.

STEP 33

Solve the tenth expression: 11×4−(6+3+13)÷2=3311 \times 4-(6+3+13) \div 2=3311×4−(6+3+13)÷2=33First, multiply 111111 by 444.11×4=4411 \times 4 = 4411×4=44

STEP 34

Next, add 666, 333, and 131313 together.6+3+13=226 + 3 + 13 = 226+3+13=22

STEP 35

Now, divide the result by 222.22÷2=1122 \div 2 = 1122÷2=11

STEP 36

Finally, subtract the result of the division from the result of the multiplication.44−11=3344 - 11 = 3344−11=33The solution to the tenth expression is 333333.

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Solve the first expression: $120+12)+4=$
There seems to be a typo in the expression. Assuming the correct expression is $120 + 12 + 4$ , we proceed with the addition.
$120 + 12 + 4$

Add the numbers together.
$120 + 12 + 4 = 136$
The solution to the first expression is $136$ .

Solve the second expression: $50+6 \times (11-4)=$
First, we solve the operation inside the parentheses.
$11 - 4 = 7$

Now, multiply the result by $6$ .
$6 \times 7 = 42$

Finally, add $50$ to the result.
$50 + 42 = 92$
The solution to the second expression is $92$ .

Solve the third expression: $50+6 \times 11-4=$
First, we perform the multiplication.
$6 \times 11 = 66$

Now, add $50$ to the result of the multiplication.
$50 + 66 = 116$

Finally, subtract $4$ from the result.
$116 - 4 = 112$
The solution to the third expression is $112$ .

Solve the fourth expression: $9 \times (12-8)+28 \div 7=$
First, solve the operation inside the parentheses.
$12 - 8 = 4$

Now, multiply the result by $9$ .
$9 \times 4 = 36$

Next, divide $28$ by $7$ .
$28 \div 7 = 4$

Finally, add the two results together.
$36 + 4 = 40$
The solution to the fourth expression is $40$ .

Solve the fifth expression: $18-(21-5)+(22-18)=$
First, solve the operations inside the parentheses.
$21 - 5 = 16$ $22 - 18 = 4$

Now, subtract the first result from $18$ .
$18 - 16 = 2$

Finally, add the second result to the previous result.
$2 + 4 = 6$
The solution to the fifth expression is $6$ .

Solve the sixth expression: $7 \times 2-(9+2)+14=$
First, multiply $7$ by $2$ .
$7 \times 2 = 14$

Next, add $9$ and $2$ .
$9 + 2 = 11$

Now, subtract the result of the addition from the result of the multiplication.
$14 - 11 = 3$

Finally, add $14$ to the previous result.
$3 + 14 = 17$
The solution to the sixth expression is $17$ .

Solve the seventh expression: $(6 \div 3+5) \times (11-4)=$
First, divide $6$ by $3$ and add $5$ to the result.
$6 \div 3 = 2$ $2 + 5 = 7$

Next, subtract $4$ from $11$ .
$11 - 4 = 7$

Finally, multiply the two results together.
$7 \times 7 = 49$
The solution to the seventh expression is $49$ .

Solve the eighth expression: $9 \times 3+(20-18) \times 4-8=$
First, multiply $9$ by $3$ .
$9 \times 3 = 27$

Next, subtract $18$ from $20$ and multiply the result by $4$ .
$20 - 18 = 2$ $2 \times 4 = 8$

Now, add the result of the multiplication to $27$ .
$27 + 8 = 35$

Finally, subtract $8$ from the previous result.
$35 - 8 = 27$
The solution to the eighth expression is $27$ .

Solve the ninth expression: $(37-17) \times (240 \div 20)-22 \times 4=$
First, subtract $17$ from $37$ .
$37 - 17 = 20$

Next, divide $240$ by $20$ .
$240 \div 20 = 12$

Now, multiply the two results together.
$20 \times 12 = 240$

Multiply $22$ by $4$ .
$22 \times 4 = 88$

Finally, subtract the result of the last multiplication from the previous multiplication result.
$240 - 88 = 152$
The solution to the ninth expression is $152$ .

Solve the tenth expression: $11 \times 4-(6+3+13) \div 2=33$
First, multiply $11$ by $4$ .
$11 \times 4 = 44$

Next, add $6$ , $3$ , and $13$ together.
$6 + 3 + 13 = 22$

Now, divide the result by $2$ .
$22 \div 2 = 11$

Finally, subtract the result of the division from the result of the multiplication.
$44 - 11 = 33$
The solution to the tenth expression is $33$ .