There are no parentheses or exponents.

Perform the multiplication and division from left to right.

$\require{color}\colorbox{lime}{$ 7 \div 7 $} + 3 - 2 \cdot 5$

$\require{color}\colorbox{lime}{$ 1 $} + 3 - \require{color}\colorbox{yellow}{$ 2 \cdot 5 $}$

$\require{color}\colorbox{lime}{$ 1 $} + 3 - \require{color}\colorbox{yellow}{$ 10 $}$

Complete the addition and subtraction from left to right.

Use what you know about adding and subtracting integers. When the signs are unlike, subtract the smaller absolute value from the larger absolute value. The sum will have the same sign as the number with the larger absolute value.

$\require{color}\colorbox{yellow}{$ 1 + 3 $} - 10$

$\require{color}\colorbox{yellow}{$ 4 $} \require{color}\colorbox{lime}{$ - 10 $}$

$\require{color}\colorbox{yellow}{$ 4 $} \require{color}\colorbox{lime}{$ + \left( - 10 \right) $}$

$\require{color}\colorbox{lime}{$ - 6 $}$

There are no parentheses, so start by simplifying the exponent.

$6 + 21 \div 3 \cdot 4 + \require{color}\colorbox{yellow}{$ 3^{3} $}$

$6 + 21 \div 3 \cdot 4 + \require{color}\colorbox{yellow}{$ 27 $}$

Multiplication and division from left to right, in the order they appear.

$6 + \require{color}\colorbox{yellow}{$ 21 \div 3 $} \cdot 4 + 27$

$6 + \require{color}\colorbox{yellow}{$ 7 $} \require{color}\colorbox{lime}{$ \cdot\ 4 $} + 27$

$6 + \require{color}\colorbox{lime}{$ 28 $} + 27$

Addition from left to right, in the order they appear.

$6 + 28 + 27$

$61$

Exponents.

$\require{color}\colorbox{violet}{$ 3^{3} $} - 8 \div 4 \cdot 2 + 7$

$\require{color}\colorbox{violet}{$ 27 $} - 8 \div 4 \cdot 2 + 7$

Multiplication and division from left to right, in the order they appear.

$27 - \require{color}\colorbox{yellow}{$ 8 \div 4 $} \cdot 2 + 7$

$27 - \require{color}\colorbox{yellow}{$ 2 $} \require{color}\colorbox{lime}{$ \cdot 2 $} + 7$

$27 - \require{color}\colorbox{lime}{$ 4 $} + 7$

Addition and subtraction from left to right, in the order they appear.

$27 - 4 + 7$

$23 + 7$

$30$

Parentheses

${1.5}^{2} \div 0.5 \cdot 5 - \left( \require{color}\colorbox{yellow}{$ 10 + 5 $} \right)$

${1.5}^{2} \div 0.5 \cdot 5 - \require{color}\colorbox{yellow}{$ 15 $}$

Exponents

$\require{color}\colorbox{yellow}{$ {1.5}^{2} $} \div 0.5 \cdot 5 - 15$

$\require{color}\colorbox{yellow}{$ 2.25 $} \div 0.5 \cdot 5 - 15$

Multiplication and division from left to right, in they order they appear.

$\require{color}\colorbox{lime}{$ 2.25 \div 0.5 $} \cdot 5 - 15$

$\require{color}\colorbox{lime}{$ 4.5 $} \require{color}\colorbox{yellow}{$ \cdot 5 $} - 15$

$\require{color}\colorbox{yellow}{$ 22.5 $} - 15$

Subtraction.

$22.5 - 15$

$7.5$

Parentheses

$2.04 \cdot \left( \require{color}\colorbox{yellow}{$ 780 - 125 $} \right)$

$2.04 \cdot \require{color}\colorbox{yellow}{$ 655 $}$

Multiplication

$2.04 \cdot 655$

$1336.20$