What is 75*10-5/4*10^2-125 ?

The solution to 75*10-5/4*10^2-125 is 500

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7510-5/410^2-125

75 \cdot 10 - \frac{5}{4} \cdot 1 0^{2} - 125

500

Solution steps

75 \cdot 10 - \frac{5}{4} \cdot 1 0^{2} - 125

Follow the PEMDAS order of operations

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= 75 \cdot 10 - \frac{5}{4} \cdot 100 - 125

Multiply and divide (left to right)

75 \cdot 10 : 750

75 \cdot 10

75 \cdot 10 = 750

= 750

= 750 - \frac{5}{4} \cdot 100 - 125

Multiply and divide (left to right)

\frac{5}{4} \cdot 100 : 125

\frac{5}{4} \cdot 100

Convert element to fraction:

100 = \frac{100}{1}

= \frac{5}{4} \cdot \frac{100}{1}

Apply the fraction rule:

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

= \frac{5 \cdot 100}{4 \cdot 1}

Cancel

\frac{5 \cdot 100}{4 \cdot 1} : 125

\frac{5 \cdot 100}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{5 \cdot 100}{4}

Divide the numbers:

\frac{100}{4} = 25

= 5 \cdot 25

Multiply the numbers:

5 \cdot 25 = 125

= 125

= 125

= 750 - 125 - 125

Add and subtract (left to right)

750 - 125 - 125 : 500

750 - 125 - 125

750 - 125 = 625

= 625 - 125

625 - 125 = 500

= 500

= 500

6 - 2 \cdot 3 - 4 + 2 - 2

(5 - 6)^{2}

3 (0)^{2} - 5

128 \div 2 (3) - 54 \div 3 + 12

4 + 3 (4 - 1)