use order of operations to simplfy this eqation 24 divided by 2^3 - 4 x 5=
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GPT-4o mini
To simplify the expression \( 24 \div 2^3 - 4 \times 5 \), we follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. **Calculate the exponent**:
\[
2^3 = 8
\]
Now the expression looks like:
\[
24 \div 8 - 4 \times 5
\]
2. **Perform the division**:
\[
24 \div 8 = 3
\]
Now we have:
\[
3 - 4 \times 5
\]
3. **Perform the multiplication**:
\[
4 \times 5 = 20
\]
Now we can substitute that back into the expression:
\[
3 - 20
\]
4. **Perform the subtraction**:
\[
3 - 20 = -17
\]
The simplified result of the expression \( 24 \div 2^3 - 4 \times 5 \) is \(-17\).
1. **Calculate the exponent**:
\[
2^3 = 8
\]
Now the expression looks like:
\[
24 \div 8 - 4 \times 5
\]
2. **Perform the division**:
\[
24 \div 8 = 3
\]
Now we have:
\[
3 - 4 \times 5
\]
3. **Perform the multiplication**:
\[
4 \times 5 = 20
\]
Now we can substitute that back into the expression:
\[
3 - 20
\]
4. **Perform the subtraction**:
\[
3 - 20 = -17
\]
The simplified result of the expression \( 24 \div 2^3 - 4 \times 5 \) is \(-17\).