What is 1/2 (1)^3+5(1)^2-2(1) ?

The solution to 1/2 (1)^3+5(1)^2-2(1) is 3 1/2

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Popular Pre Algebra >

1/2 (1)^3+5(1)^2-2(1)

Solution

\frac{1}{2} (1)^{3} + 5 (1)^{2} - 2 (1)

Solution

3 \frac{1}{2}

Decimal

3.5

Solution steps

\frac{1}{2} (1)^{3} + 5 (1)^{2} - 2 (1)

Follow the PEMDAS order of operations

Calculate exponents

(1)^{3} : 1

(1)^{3}

(1)^{3} = 1

= 1

= \frac{1}{2} \cdot 1 + 5 (1)^{2} - 2 (1)

Calculate exponents

(1)^{2} : 1

(1)^{2}

(1)^{2} = 1

= 1

= \frac{1}{2} \cdot 1 + 5 \cdot 1 - 2 (1)

Multiply and divide (left to right)

\frac{1}{2} \cdot 1 : \frac{1}{2}

\frac{1}{2} \cdot 1

\frac{1}{2} \cdot 1 = \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2} + 5 \cdot 1 - 2 (1)

Multiply and divide (left to right)

5 \cdot 1 : 5

5 \cdot 1

5 \cdot 1 = 5

= 5

= \frac{1}{2} + 5 - 2 (1)

Multiply and divide (left to right)

2 (1) : 2

2 (1)

Apply rule:

(a) = a

(1) = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

= \frac{1}{2} + 5 - 2

Add and subtract (left to right)

\frac{1}{2} + 5 - 2 : \frac{7}{2}

\frac{1}{2} + 5 - 2

\frac{1}{2} + 5 = \frac{11}{2}

\frac{1}{2} + 5

Convert element to fraction:

5 = \frac{5 \cdot 2}{2}

= \frac{5 \cdot 2}{2} + \frac{1}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{5 \cdot 2 + 1}{2}

5 \cdot 2 + 1 = 11

5 \cdot 2 + 1

Multiply the numbers:

5 \cdot 2 = 10

= 10 + 1

Add the numbers:

10 + 1 = 11

= 11

= \frac{11}{2}

= \frac{11}{2} - 2

\frac{11}{2} - 2 = \frac{7}{2}

\frac{11}{2} - 2

Convert element to fraction:

2 = \frac{2 \cdot 2}{2}

= - \frac{2 \cdot 2}{2} + \frac{11}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 2 \cdot 2 + 11}{2}

- 2 \cdot 2 + 11 = 7

- 2 \cdot 2 + 11

Multiply the numbers:

2 \cdot 2 = 4

= - 4 + 11

Add/Subtract the numbers:

- 4 + 11 = 7

= 7

= \frac{7}{2}

= \frac{7}{2}

= \frac{7}{2}

Convert improper fractions to mixed numbers:

\frac{7}{2} = 3 \frac{1}{2}

\frac{7}{2} = 3

Remainder

1

\frac{7}{2}

Write the problem in long division format

2 \overline{∣ 7}

Divide

7

2

to get

3

Divide

7

2

to get

3

3 2 \overline{∣ 7}

Multiply the quotient digit

(3)

by the divisor

2

3 2 \overline{∣ 7} \underline{6}

Subtract

6

from

7

3 2 \overline{∣ 7} \underline{6} 1

3 2 \overline{∣ 7} \underline{6} 1

The solution for Long Division of

\frac{7}{2}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{7}{2} = 3 \frac{1}{2}

= 3 \frac{1}{2}

= 3 \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 1/2 (1)^3+5(1)^2-2(1) ?
The solution to 1/2 (1)^3+5(1)^2-2(1) is 3 1/2

1/2 (1)^3+5(1)^2-2(1)

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 1/2 (1)^3+5(1)^2-2(1) ?

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