What is 4500+500+500+3(1000+(1000\div 3)\times 2) ?

The solution to 4500+500+500+3(1000+(1000\div 3)\times 2) is 10500

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4500+500+500+3(1000+(1000\div 3)\times 2)

4500 + 500 + 500 + 3 (1000 + (1000 \div 3) \times 2)

10500

Solution steps

4500 + 500 + 500 + 3 (1000 + (1000 \div 3) \times 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(1000 + (1000 \div 3) \times 2) : \frac{5000}{3}

1000 + (1000 \div 3) \times 2

Calculate within parentheses

(1000 \div 3) : \frac{1000}{3}

1000 \div 3

1000 \div 3 = \frac{1000}{3}

= \frac{1000}{3}

= 1000 + \frac{1000}{3} \times 2

Multiply and divide (left to right)

\frac{1000}{3} \times 2 : \frac{2000}{3}

\frac{1000}{3} \times 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{1000}{3} \cdot \frac{2}{1}

Apply the fraction rule:

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

= \frac{1000 \cdot 2}{3 \cdot 1}

Multiply the numbers:

1000 \cdot 2 = 2000

= \frac{2000}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{2000}{3}

= 1000 + \frac{2000}{3}

Add and subtract (left to right)

1000 + \frac{2000}{3} : \frac{5000}{3}

1000 + \frac{2000}{3}

1000 + \frac{2000}{3} = \frac{5000}{3}

1000 + \frac{2000}{3}

Convert element to fraction:

1000 = \frac{1000 \cdot 3}{3}

= \frac{1000 \cdot 3}{3} + \frac{2000}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{1000 \cdot 3 + 2000}{3}

1000 \cdot 3 + 2000 = 5000

1000 \cdot 3 + 2000

Multiply the numbers:

1000 \cdot 3 = 3000

= 3000 + 2000

Add the numbers:

3000 + 2000 = 5000

= 5000

= \frac{5000}{3}

= \frac{5000}{3}

= \frac{5000}{3}

= 4500 + 500 + 500 + 3 \cdot \frac{5000}{3}

Multiply and divide (left to right)

3 \cdot \frac{5000}{3} : 5000

3 \cdot \frac{5000}{3}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \cdot \frac{5000}{3}

Cross-cancel common factor:

3

= \frac{5000}{1}

Divide the numbers:

\frac{5000}{1} = 5000

= 5000

= 4500 + 500 + 500 + 5000

Add and subtract (left to right)

4500 + 500 + 500 + 5000 : 10500

4500 + 500 + 500 + 5000

4500 + 500 = 5000

= 5000 + 500 + 5000

5000 + 500 = 5500

= 5500 + 5000

5500 + 5000 = 10500

= 10500

= 10500

3 (4) + 3

5 + 10 - 3^{2}

\frac{1}{2} (6)^{2}

- 18 + 23 - 15 + 12 - 21 + 17

2^{3} + 4

What is 4500+500+500+3(1000+(1000\div 3)\times 2) ?
The solution to 4500+500+500+3(1000+(1000\div 3)\times 2) is 10500