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This simple rule is the foundation of the order of operations which states that exponentiation precedes multiplication and division, which precede addition and subtraction, and that operations enclosed in parentheses precede all others,
First, we pay special attention to the given rule, the first break from the left is the number 0, remember that dividing the number 0 by any number always yields the result 0, (except dividing by the number 0 itself, which is generally forbidden, even though this simple rule that breaks in the given rule, in accordance with the order of operations mentioned, means that this break is worth nothing) therefore the value of this break is 0 and therefore we can simply omit it entirely (as if - the entire break) from the given rule, as this is a common practice that does not contribute anything in terms of numerical value,
As usual we should not forget to keep the negative sign after the break, as this minus sign indicates multiplication by negative one,
We will continue and simplify this rule,
In accordance with the order of operations mentioned we will start with the multiplication and division operations, next we will calculate the result of the division operation:
In the last step we did not forget that dividing a positive number by a negative number yields a negative result,
We received that the correct answer is answer c.
Solve the following exercise:
\( 12+3\cdot0= \)
Think of division as 'how many groups?' If you have 0 items to divide into groups, you'll always have 0 in each group. So because 0 ÷ 7 = 0.
Yes! Even though the numerator is 0, you must verify that the denominator isn't zero. If it were zero, the division would be undefined, not zero.
The expression becomes . The subtraction sign makes the result negative since we're subtracting a positive number from zero.
Not immediately! First verify the denominator isn't zero, then you can simplify. The expression becomes 0 only after confirming 5+4÷2 ≠ 0.
Double-check using order of operations: . Division comes before addition, so calculate 4÷2 first, then add 5.
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