What is 10.5 as a mixed number

2 answers:

5 0

convert the decimal number to a fraction by placing the decimal over a power of ten. since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). next, add the whole number next to the decimal.

10 5/10

reduce the fraction part of the mixed number

10 1/2

convert the mixed number 10 1/2 into a improper fraction first by multiplying the denominator(2). by the whole number part (10) and add the numerator(1) to get the new numerator. place the new numerator(21) over the old denominator(2).

21/2

I hope that helped

NeTakaya3 years ago

4 0

10 1/2

10.5 = 10 5/10

but 5/10 can be simplified to 1/2

the answer is 10 1/2

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Determine whether the following statements are true and give an explanation or a counter example. a. The Trapezoid Rule is exact

Norma-Jean [14]

Answer:

statement is TRUE

statement is FALSE

statement is TRUE

Step-by-step explanation:

(a)

By using the Trapezoidal Rule, the definite integral can be computed by applying linear interpolating formula on each sub interval, and then sum-up them, to get the value of the integral

So, in computing a definite integral of a linear function, the approximated value occurred by using Trapezoidal Rule is same as the area of the region. Thus, the value of the definite integral of a linear function is exact, by using the Trapezoidal Rule.

Therefore, the statement is TRUE

(b) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.

So, for the midpoint rule, the number of sub-intervals, n is increased by a factor of 3, then the error is decreased by a factor of 32 = 9, not 8. Therefore, the statement is FALSE

(c) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.

So, for the trapezoidal rule, the number of sub-internals, n is increased by a factor of 4. then the error is decreased by a factor of 42 = 16

Therefore, the statement is TRUE

3 0

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Effectus [21]

Option c : 9 is the answer.

Explanation:

The expression is $1.2-(-7.8)$