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Tisha tried to evaluate an expression. Here is her work:

{:[490÷7^(2)*9-2*3],[=490÷49*9-2*3],[=10*9-2*3],[=90-2*3],[=88*3],[=264]:}
Is Tisha's work correct?
No, Tisha made a mistake going from Step 1 to Step 2. Tisha should have multiplied 49 and 9 before dividing. The order of operations says to multiply before you divide.
No, Tisha made a mistake going from Step 3 to Step 4. Tisha should have multiplied 2 and 3 before subtracting. The order of operations says to multiply before you subtract.
Yes, Tisha's work is correct.

Tisha tried to evaluate an expression. Here is her work:\newline490÷72923=490÷49923=10923=9023=883=264 \begin{aligned} & 490 \div 7^{2} \cdot 9-2 \cdot 3 \\ = & 490 \div 49 \cdot 9-2 \cdot 3 \\ = & 10 \cdot 9-2 \cdot 3 \\ = & 90-2 \cdot 3 \\ = & 88 \cdot 3 \\ = & 264 \end{aligned} \newlineIs Tisha's work correct?\newlineNo, Tisha made a mistake going from Step 11 to Step 22. Tisha should have multiplied 4949 and 99 before dividing. The order of operations says to multiply before you divide.\newlineNo, Tisha made a mistake going from Step 33 to Step 44. Tisha should have multiplied 22 and 33 before subtracting. The order of operations says to multiply before you subtract.\newlineYes, Tisha's work is correct.

Full solution

Q. Tisha tried to evaluate an expression. Here is her work:\newline490÷72923=490÷49923=10923=9023=883=264 \begin{aligned} & 490 \div 7^{2} \cdot 9-2 \cdot 3 \\ = & 490 \div 49 \cdot 9-2 \cdot 3 \\ = & 10 \cdot 9-2 \cdot 3 \\ = & 90-2 \cdot 3 \\ = & 88 \cdot 3 \\ = & 264 \end{aligned} \newlineIs Tisha's work correct?\newlineNo, Tisha made a mistake going from Step 11 to Step 22. Tisha should have multiplied 4949 and 99 before dividing. The order of operations says to multiply before you divide.\newlineNo, Tisha made a mistake going from Step 33 to Step 44. Tisha should have multiplied 22 and 33 before subtracting. The order of operations says to multiply before you subtract.\newlineYes, Tisha's work is correct.
  1. Check Step: Check Tisha's first step: 490÷72×92×3490 \div 7^{2} \times 9 - 2 \times 3. Calculate 72=497^2 = 49.
  2. Calculate Division: Divide 490490 by 4949, which is 490÷49=10490 \div 49 = 10.
  3. Calculate Multiplication: Multiply 1010 by 99, which is 10×9=9010 \times 9 = 90.
  4. Calculate Subtraction: Subtract 2×32 \times 3 from 9090, which is 902×390 - 2 \times 3.\newlineFirst, calculate 2×3=62 \times 3 = 6.
  5. Identify Mistake: Now subtract 66 from 9090, which is 906=8490 - 6 = 84. Tisha got 8888 instead of 8484; there's a mistake here.

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