What is 22\div 7\times 9^2-22\div 7\times 2^2 ?

The solution to 22\div 7\times 9^2-22\div 7\times 2^2 is 242

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22\div 7\times 9^2-22\div 7\times 2^2

22 \div 7 \times 9^{2} - 22 \div 7 \times 2^{2}

242

Solution steps

22 \div 7 \times 9^{2} - 22 \div 7 \times 2^{2}

Follow the PEMDAS order of operations

Calculate exponents

9^{2} : 81

9^{2}

9^{2} = 81

= 81

= 22 \div 7 \times 81 - 22 \div 7 \times 2^{2}

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 22 \div 7 \times 81 - 22 \div 7 \times 4

Multiply and divide (left to right)

22 \div 7 \times 81 : \frac{1782}{7}

22 \div 7 \times 81

22 \div 7 = \frac{22}{7}

= \frac{22}{7} \times 81

\frac{22}{7} \times 81 = \frac{1782}{7}

\frac{22}{7} \cdot 81

Convert element to fraction:

81 = \frac{81}{1}

= \frac{22}{7} \cdot \frac{81}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{22 \cdot 81}{7 \cdot 1}

Multiply the numbers:

22 \cdot 81 = 1782

= \frac{1782}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{1782}{7}

= \frac{1782}{7}

= \frac{1782}{7} - 22 \div 7 \times 4

Multiply and divide (left to right)

22 \div 7 \times 4 : \frac{88}{7}

22 \div 7 \times 4

22 \div 7 = \frac{22}{7}

= \frac{22}{7} \times 4

\frac{22}{7} \times 4 = \frac{88}{7}

\frac{22}{7} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{22}{7} \cdot \frac{4}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{22 \cdot 4}{7 \cdot 1}

Multiply the numbers:

22 \cdot 4 = 88

= \frac{88}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{88}{7}

= \frac{88}{7}

= \frac{1782}{7} - \frac{88}{7}

Add and subtract (left to right)

\frac{1782}{7} - \frac{88}{7} : 242

\frac{1782}{7} - \frac{88}{7}

\frac{1782}{7} - \frac{88}{7} = 242

\frac{1782}{7} - \frac{88}{7}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1782 - 88}{7}

Subtract the numbers:

1782 - 88 = 1694

= \frac{1694}{7}

Divide the numbers:

\frac{1694}{7} = 242

= 242

= 242

= 242

4 (8)^{2} + 8 (8) - 252

3 (2)^{2} + \frac{2}{3}

- 1/2 (2)^{2}

5 + \frac{1}{3} \times 4

4 (6 + 8) (- 3 + 5) + 2

What is 22\div 7\times 9^2-22\div 7\times 2^2 ?
The solution to 22\div 7\times 9^2-22\div 7\times 2^2 is 242