Solve {l}{10*10+15*6+14*5+13*3+13.5*5+20+36+75}{+84+64+100}

$$\left. \begin{array} { l } { 10 \times 10 + 15 \times 6 + 14 \times 5 + 13 \times 3 + 13.5 \times 5 + 20 + 36 + 75 } \\ { + 84 + 64 + 100 } \end{array} \right.$$

Evaluate

$$745.5$$

Solution Steps

Multiply 10 and 10 to get 100. Multiply 15 and 6 to get 90. Multiply 14 and 5 to get 70. Multiply 13 and 3 to get 39.

$$100+90+70+39+13.5\times 5+20+36+75+84+64+100$$

Add 100 and 90 to get 190.

$$190+70+39+13.5\times 5+20+36+75+84+64+100$$

Add 190 and 70 to get 260.

$$260+39+13.5\times 5+20+36+75+84+64+100$$

Add 260 and 39 to get 299.

$$299+13.5\times 5+20+36+75+84+64+100$$

Multiply 13.5 and 5 to get 67.5.

$$299+67.5+20+36+75+84+64+100$$

Add 299 and 67.5 to get 366.5.

$$366.5+20+36+75+84+64+100$$

Add 366.5 and 20 to get 386.5.

$$386.5+36+75+84+64+100$$

Add 386.5 and 36 to get 422.5.

$$422.5+75+84+64+100$$

Add 422.5 and 75 to get 497.5.

$$497.5+84+64+100$$

Add 497.5 and 84 to get 581.5.

$$581.5+64+100$$

Add 581.5 and 64 to get 645.5.

$$645.5+100$$

Add 645.5 and 100 to get 745.5.

$$745.5$$

Factor

$$\frac{3 \cdot 7 \cdot 71}{2} = 745\frac{1}{2} = 745.5$$