To simplify 12 - 2^3 + 4 ÷ 2 + 2^4 using the order of operations (also known as PEMDAS), follow these steps:
1. Start with the exponentiation: 2^3 = 2 * 2 * 2 = 8
The expression now becomes: 12 - 8 + 4 ÷ 2 + 2^4
2. Continue with the exponentiation: 2^4 = 2 * 2 * 2 * 2 = 16
The expression now becomes: 12 - 8 + 4 ÷ 2 + 16
3. Move on to the division: 4 ÷ 2 = 2
The expression now becomes: 12 - 8 + 2 + 16
4. Finally, perform the addition and subtraction from left to right: (12 - 8) + 2 + 16 = 4 + 2 + 16 = 22
Therefore, 12 - 2^3 + 4 ÷ 2 + 2^4 simplifies to 22.
Use the order of operations to simplify 12−2^3+4÷2+2^4
9 answers
according to the order of operations, which step should be completed first in the following expression 6-3 • 1^18 divided by 2 • 4 + 8 (6 points)
divison. multiplaction. expoment.
subtraction
divison. multiplaction. expoment.
subtraction
According to the order of operations, the first step that should be completed in the expression 6 - 3 • 1^18 divided by 2 • 4 + 8 is the exponentiation.
use PERIODS to simplify 72 divided by 12 + 26 - 8•3
To simplify 72 divided by 12 + 26 - 8•3 using the PERIODS method (also known as PEDMAS or BODMAS), follow these steps:
1. Start with the parentheses: There are no parentheses in the expression.
2. Move on to the exponents: There are no exponents in the expression.
3. Next, perform the divisions: 72 divided by 12 = 6
The expression now becomes: 6 + 26 - 8 • 3
4. Then, complete the multiplications: 8 • 3 = 24
The expression now becomes: 6 + 26 - 24
5. Finally, perform the additions and subtractions from left to right: 6 + 26 - 24 = 32 - 24 = 8
Therefore, 72 divided by 12 + 26 - 8 • 3 simplifies to 8.
1. Start with the parentheses: There are no parentheses in the expression.
2. Move on to the exponents: There are no exponents in the expression.
3. Next, perform the divisions: 72 divided by 12 = 6
The expression now becomes: 6 + 26 - 8 • 3
4. Then, complete the multiplications: 8 • 3 = 24
The expression now becomes: 6 + 26 - 24
5. Finally, perform the additions and subtractions from left to right: 6 + 26 - 24 = 32 - 24 = 8
Therefore, 72 divided by 12 + 26 - 8 • 3 simplifies to 8.
use the order of operations to simplify 6 over 3 in fractions + 4 divided by 2 + four over four as a fraction
To simplify the expression "6 over 3 in fractions + 4 divided by 2 + four over four as a fraction" using the order of operations, follow these steps:
1. Start with the division: 6 divided by 3 = 2
The expression now becomes: 2 in fractions + 4 divided by 2 + four over four as a fraction
2. Continue with the addition and subtraction: Since there are no addition or subtraction signs in the expression, we can move on to fractions.
3. Convert "2 in fractions" to a fraction: "2 in fractions" means the fraction 2/1.
The expression now becomes: 2/1 + 4 divided by 2 + four over four as a fraction
4. Simplify 4 divided by 2: 4 divided by 2 = 2
The expression now becomes: 2/1 + 2 + four over four as a fraction
5. Look at "four over four as a fraction": Four over four is equal to 4/4, which simplifies to 1.
The expression now becomes: 2/1 + 2 + 1
6. Perform the addition: 2/1 + 2 + 1 = 2 + 2 + 1 = 5
Therefore, the simplified expression is 5.
1. Start with the division: 6 divided by 3 = 2
The expression now becomes: 2 in fractions + 4 divided by 2 + four over four as a fraction
2. Continue with the addition and subtraction: Since there are no addition or subtraction signs in the expression, we can move on to fractions.
3. Convert "2 in fractions" to a fraction: "2 in fractions" means the fraction 2/1.
The expression now becomes: 2/1 + 4 divided by 2 + four over four as a fraction
4. Simplify 4 divided by 2: 4 divided by 2 = 2
The expression now becomes: 2/1 + 2 + four over four as a fraction
5. Look at "four over four as a fraction": Four over four is equal to 4/4, which simplifies to 1.
The expression now becomes: 2/1 + 2 + 1
6. Perform the addition: 2/1 + 2 + 1 = 2 + 2 + 1 = 5
Therefore, the simplified expression is 5.
WRONG! samathas right here, you... brussel sprout! (forget that im just joking but the first question you answered is wrong)
Apologies for any confusion caused. Let's revisit and correctly simplify the expression "6 divided by 3 in fractions + 4 divided by 2 + four over four as a fraction" using the order of operations:
1. Start with the division: 6 divided by 3 = 2
The expression now becomes: 2 in fractions + 4 divided by 2 + four over four as a fraction
2. Convert "2 in fractions" to a fraction: "2 in fractions" means the fraction 2/1.
The expression now becomes: 2/1 + 4 divided by 2 + four over four as a fraction
3. Simplify 4 divided by 2: 4 divided by 2 = 2
The expression now becomes: 2/1 + 2 + four over four as a fraction
4. Simplify "four over four as a fraction": Four over four is equal to 1.
The expression now becomes: 2/1 + 2 + 1
5. Perform the addition: 2/1 + 2 + 1 = 2 + 2 + 1 = 5
Apologies once again for the earlier incorrect response. The simplified expression is indeed 5.
1. Start with the division: 6 divided by 3 = 2
The expression now becomes: 2 in fractions + 4 divided by 2 + four over four as a fraction
2. Convert "2 in fractions" to a fraction: "2 in fractions" means the fraction 2/1.
The expression now becomes: 2/1 + 4 divided by 2 + four over four as a fraction
3. Simplify 4 divided by 2: 4 divided by 2 = 2
The expression now becomes: 2/1 + 2 + four over four as a fraction
4. Simplify "four over four as a fraction": Four over four is equal to 1.
The expression now becomes: 2/1 + 2 + 1
5. Perform the addition: 2/1 + 2 + 1 = 2 + 2 + 1 = 5
Apologies once again for the earlier incorrect response. The simplified expression is indeed 5.