Question
a) \( 15+4^{2} \times 2+\sqrt{4}= \) b) \( 7+3^{2}+(5+8)= \) c) \( 1+4[3+2(4+2)]= \) d) \( 5+25\{1+2[3+2(6)]-4\}= \) e) \( 4+7\{1+4[3+2]-2\}= \) f) \( 8+3\{4[5+2(3+2)]-1\}= \) g) \( 9+2\{1+5+2(3+2)-2\}= \) h) \( 5-7\{1+8[3]-2\}= \) i) \( 1+7\{2+9[8+2(3+7)]-4\}= \) j) \( 8+7\{1+4[3+2(3+2)]-2\}= \)
Ask by Martinez Watkins. in Mexico
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
a) 49
b) 29
c) 61
d) 680
e) 137
f) 185
g) 37
h) -156
i) 1751
j) 365
Solution
Calculate the value by following steps:
- step0: Calculate:
\(7+3^{2}+\left(5+8\right)\)
- step1: Add the numbers:
\(7+3^{2}+13\)
- step2: Evaluate the power:
\(7+9+13\)
- step3: Add the numbers:
\(29\)
Calculate or simplify the expression \( 5-7\{1+8[3]-2\} \).
Calculate the value by following steps:
- step0: Calculate:
\(5-7\left(1+8\times 3-2\right)\)
- step1: Multiply the numbers:
\(5-7\left(1+24-2\right)\)
- step2: Calculate:
\(5-7\times 23\)
- step3: Multiply the numbers:
\(5-161\)
- step4: Subtract the numbers:
\(-156\)
Calculate or simplify the expression \( 1+4[3+2(4+2)] \).
Calculate the value by following steps:
- step0: Calculate:
\(1+4\left(3+2\left(4+2\right)\right)\)
- step1: Add the numbers:
\(1+4\left(3+2\times 6\right)\)
- step2: Multiply the numbers:
\(1+4\left(3+12\right)\)
- step3: Add the numbers:
\(1+4\times 15\)
- step4: Multiply the numbers:
\(1+60\)
- step5: Add the numbers:
\(61\)
Calculate or simplify the expression \( 15+4^{2}*2+\sqrt{4} \).
Calculate the value by following steps:
- step0: Calculate:
\(15+4^{2}\times 2+\sqrt{4}\)
- step1: Simplify the root:
\(15+4^{2}\times 2+2\)
- step2: Multiply the terms:
\(15+32+2\)
- step3: Add the numbers:
\(49\)
Calculate or simplify the expression \( 5+25\{1+2[3+2(6)]-4\} \).
Calculate the value by following steps:
- step0: Calculate:
\(5+25\left(1+2\left(3+2\times 6\right)-4\right)\)
- step1: Multiply the numbers:
\(5+25\left(1+2\left(3+12\right)-4\right)\)
- step2: Add the numbers:
\(5+25\left(1+2\times 15-4\right)\)
- step3: Multiply the numbers:
\(5+25\left(1+30-4\right)\)
- step4: Calculate:
\(5+25\times 27\)
- step5: Multiply the numbers:
\(5+675\)
- step6: Add the numbers:
\(680\)
Calculate or simplify the expression \( 9+2\{1+5+2(3+2)-2\} \).
Calculate the value by following steps:
- step0: Calculate:
\(9+2\left(1+5+2\left(3+2\right)-2\right)\)
- step1: Add the numbers:
\(9+2\left(1+5+2\times 5-2\right)\)
- step2: Multiply the numbers:
\(9+2\left(1+5+10-2\right)\)
- step3: Calculate:
\(9+2\times 14\)
- step4: Multiply the numbers:
\(9+28\)
- step5: Add the numbers:
\(37\)
Calculate or simplify the expression \( 1+7\{2+9[8+2(3+7)]-4\} \).
Calculate the value by following steps:
- step0: Calculate:
\(1+7\left(2+9\left(8+2\left(3+7\right)\right)-4\right)\)
- step1: Add the numbers:
\(1+7\left(2+9\left(8+2\times 10\right)-4\right)\)
- step2: Multiply the numbers:
\(1+7\left(2+9\left(8+20\right)-4\right)\)
- step3: Add the numbers:
\(1+7\left(2+9\times 28-4\right)\)
- step4: Multiply the numbers:
\(1+7\left(2+252-4\right)\)
- step5: Calculate:
\(1+7\times 250\)
- step6: Multiply the numbers:
\(1+1750\)
- step7: Add the numbers:
\(1751\)
Calculate or simplify the expression \( 8+7\{1+4[3+2(3+2)]-2\} \).
Calculate the value by following steps:
- step0: Calculate:
\(8+7\left(1+4\left(3+2\left(3+2\right)\right)-2\right)\)
- step1: Add the numbers:
\(8+7\left(1+4\left(3+2\times 5\right)-2\right)\)
- step2: Multiply the numbers:
\(8+7\left(1+4\left(3+10\right)-2\right)\)
- step3: Add the numbers:
\(8+7\left(1+4\times 13-2\right)\)
- step4: Multiply the numbers:
\(8+7\left(1+52-2\right)\)
- step5: Calculate:
\(8+7\times 51\)
- step6: Multiply the numbers:
\(8+357\)
- step7: Add the numbers:
\(365\)
Calculate or simplify the expression \( 4+7\{1+4[3+2]-2\} \).
Calculate the value by following steps:
- step0: Calculate:
\(4+7\left(1+4\left(3+2\right)-2\right)\)
- step1: Add the numbers:
\(4+7\left(1+4\times 5-2\right)\)
- step2: Multiply the numbers:
\(4+7\left(1+20-2\right)\)
- step3: Calculate:
\(4+7\times 19\)
- step4: Multiply the numbers:
\(4+133\)
- step5: Add the numbers:
\(137\)
Calculate or simplify the expression \( 8+3\{4[5+2(3+2)]-1\} \).
Calculate the value by following steps:
- step0: Calculate:
\(8+3\left(4\left(5+2\left(3+2\right)\right)-1\right)\)
- step1: Add the numbers:
\(8+3\left(4\left(5+2\times 5\right)-1\right)\)
- step2: Multiply the numbers:
\(8+3\left(4\left(5+10\right)-1\right)\)
- step3: Add the numbers:
\(8+3\left(4\times 15-1\right)\)
- step4: Multiply the numbers:
\(8+3\left(60-1\right)\)
- step5: Subtract the numbers:
\(8+3\times 59\)
- step6: Multiply the numbers:
\(8+177\)
- step7: Add the numbers:
\(185\)
Aquí están los resultados de los cálculos:
a) \( 15 + 4^{2} \times 2 + \sqrt{4} = 49 \)
b) \( 7 + 3^{2} + (5 + 8) = 29 \)
c) \( 1 + 4[3 + 2(4 + 2)] = 61 \)
d) \( 5 + 25\{1 + 2[3 + 2(6)] - 4\} = 680 \)
e) \( 4 + 7\{1 + 4[3 + 2] - 2\} = 137 \)
f) \( 8 + 3\{4[5 + 2(3 + 2)] - 1\} = 185 \)
g) \( 9 + 2\{1 + 5 + 2(3 + 2) - 2\} = 37 \)
h) \( 5 - 7\{1 + 8[3] - 2\} = -156 \)
i) \( 1 + 7\{2 + 9[8 + 2(3 + 7)] - 4\} = 1751 \)
j) \( 8 + 7\{1 + 4[3 + 2(3 + 2)] - 2\} = 365 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
When it comes to evaluating expressions like these, knowing the order of operations—often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)—is essential! It’s like following a recipe: if you mix the ingredients in the wrong order, you might end up with a mess instead of a delicious dish! Also, a common mistake is forgetting the hierarchy of operations. For instance, it's crucial to compute exponents and any operations within parentheses before dealing with addition or subtraction. This oversight can lead to incorrect answers. So take your time, and remember to do your calculations step by step!
