Barber Sherman
09/12/2024 · Elementary School
b. \( 89+(76-43) \) e. \( 78+4 \cdot(65-43) \) h. \( 3(56-76)-5(32+76) \) j. \( (76-456) \cdot 4+3(76+98 \) l. \( (67-32): 7-(98+65) \) n. \( 76-(65-43) \)
UpStudy ThothAI Solution
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Step-by-step Solution
Let's solve each problem step by step following the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)).
b. \( 89 + (76 - 43) \)
1. Solve the parentheses: \( 76 - 43 = 33 \)
2. Add the result to 89: \( 89 + 33 = 122 \)
e. \( 78 + 4 \cdot (65 - 43) \)
1. Solve the parentheses: \( 65 - 43 = 22 \)
2. Multiply the result by 4: \( 4 \cdot 22 = 88 \)
3. Add the result to 78: \( 78 + 88 = 166 \)
h. \( 3(56 - 76) - 5(32 + 76) \)
1. Solve the parentheses: \( 56 - 76 = -20 \) and \( 32 + 76 = 108 \)
2. Multiply the results by their respective numbers: \( 3 \cdot (-20) = -60 \) and \( 5 \cdot 108 = 540 \)
3. Subtract the second product from the first: \( -60 - 540 = -600 \)
j. \( (76 - 456) \cdot 4 + 3(76 + 98) \)
1. Solve the parentheses: \( 76 - 456 = -380 \) and \( 76 + 98 = 174 \)
2. Multiply the results by their respective numbers: \( -380 \cdot 4 = -1520 \) and \( 3 \cdot 174 = 522 \)
3. Add the second product to the first: \( -1520 + 522 = -998 \)
l. \( (67 - 32) : 7 - (98 + 65) \)
1. Solve the parentheses: \( 67 - 32 = 35 \) and \( 98 + 65 = 163 \)
2. Divide the first result by 7: \( 35 : 7 = 5 \)
3. Subtract the second result from the first: \( 5 - 163 = -158 \)
n. \( 76 - (65 - 43) \)
1. Solve the parentheses: \( 65 - 43 = 22 \)
2. Subtract the result from 76: \( 76 - 22 = 54 \)
So the solutions are:
b. 122
e. 166
h. -600
j. -998
l. -158
n. 54
Quick Answer
b. 122
e. 166
h. -600
j. -998
l. -158
n. 54
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