Solve 90*4.5+304.5*14.5+563.5*24.5+552*34.5+489.5*44.5+545*54.5+451.5*64.5+223.5*74.5+84.5

$$90 \times 4.5+304.5 \times 14.5+563.5 \times 24.5+552 \times 34.5+489.5 \times 44.5+545 \times 54.5+451.5 \times 64.5+223.5 \times 74.5+84.5$$

Evaluate

$$135012.25$$

Solution Steps

Multiply 90 and 4.5 to get 405.

$$405+304.5\times 14.5+563.5\times 24.5+552\times 34.5+489.5\times 44.5+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Multiply 304.5 and 14.5 to get 4415.25.

$$405+4415.25+563.5\times 24.5+552\times 34.5+489.5\times 44.5+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Add 405 and 4415.25 to get 4820.25.

$$4820.25+563.5\times 24.5+552\times 34.5+489.5\times 44.5+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Multiply 563.5 and 24.5 to get 13805.75.

$$4820.25+13805.75+552\times 34.5+489.5\times 44.5+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Add 4820.25 and 13805.75 to get 18626.

$$18626+552\times 34.5+489.5\times 44.5+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Multiply 552 and 34.5 to get 19044.

$$18626+19044+489.5\times 44.5+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Add 18626 and 19044 to get 37670.

$$37670+489.5\times 44.5+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Multiply 489.5 and 44.5 to get 21782.75.

$$37670+21782.75+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Add 37670 and 21782.75 to get 59452.75.

$$59452.75+545\times 54.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Multiply 545 and 54.5 to get 29702.5.

$$59452.75+29702.5+451.5\times 64.5+223.5\times 74.5+84.5$$

Add 59452.75 and 29702.5 to get 89155.25.

$$89155.25+451.5\times 64.5+223.5\times 74.5+84.5$$

Multiply 451.5 and 64.5 to get 29121.75.

$$89155.25+29121.75+223.5\times 74.5+84.5$$

Add 89155.25 and 29121.75 to get 118277.

$$118277+223.5\times 74.5+84.5$$

Multiply 223.5 and 74.5 to get 16650.75.

$$118277+16650.75+84.5$$

Add 118277 and 16650.75 to get 134927.75.

$$134927.75+84.5$$

Add 134927.75 and 84.5 to get 135012.25.

$$135012.25$$

Factor

$$\frac{509 \cdot 1061}{2 ^ {2}} = 135012\frac{1}{4} = 135012.25$$