343 results for "decimal".
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Question in J. Richard's workspace
Identify well-known fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.
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Question in Content created by Newcastle University
Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$
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Question in MASH Bath: Question Bank
Round numbers to a given number of decimal places.
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Question in How-tos
Shows how the "decimal" data type can represent very small numbers with more precision than the default "number" data type.
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Question in Musa's workspace
Divisor is single digit. There is a remainder which we express as a decimal by continuing the long division process. Rounding is required to one decimal place. The working suggests determining the second decimal place so the student knows whether to round up or down.
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Question in Glasgow Numbas Question Pool
Calculate the distance between two points along the surface of a sphere using the cosine rule of spherical trigonometry. Context is two places on the surface of the Earth, using latitude and longitude.
The question is randomised so that the numerical values for Latitude for A and B will be positive and different (10-25 and 40-70 degrees). As will the values for Longitude (5-25 and 50-75). The question statement specifies both points are North in latitude, but one East and one West longitude, This means that students need to deal with angles across the prime meridian, but not the equator.
Students first calculate the side of the spherical triangle in degrees, then in part b they convert the degrees to kilometers. Part a will be marked as correct if in the range true answer +-1degree, as long as the answer is given to 4 decimal places. This allows for students to make the mistake of rounding too much during the calculation steps.
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Question in Julia Goedecke's contributions
Educational calculation tool rather than "question".
This allows the student to input a linear system in augmented matrix form (max rows 5, but any number of variables). Then the student can decide to swap some rows, or multiply some rows, or add multiples of one row to other rows. The student only has to input what operation should be performed, and this is automatically applied to the system. This question has no marks and no feedback as it's just meant as a "calculator".
It has some rounding to 13 decimal places, as otherwise some fraction calculations become incorrectly displayed as a very small number instead of 0.
It would be possible to extend to more than 5 rows, one just has to put in a lot more variables and so on. I just had to choose some place to stop.
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Question in Julia Goedecke's contributions
Educational calculation tool rather than "question".
This allows the student to input a square matrix (max rows 5). Then the student can decide to swap some rows, or multiply some rows, or add multiples of one row to other rows. The student only has to input what operation should be performed, and this is automatically applied to the matrix and the identity matrix (or what it has got to). This question has no marks and no feedback as it's just meant as a "calculator". It has some checks in so students know when they are not entering a square matrix or a valid row number etc.
It has some rounding to 13 decimal places, as otherwise some fraction calculations become incorrectly displayed as a very small number instead of 0.
It would be possible to extend to more than 5 rows, one just has to put in a lot more variables and so on. I just had to choose some place to stop.
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Exam (7 questions) in Nursing
Face, Place and actual value, adding, subtracting, multiplying, dividing and rounding decimals.
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Question in Ugur's workspace
Given a sum of logs, all numbers are integers,
$\log_b(a_1)+\alpha\log_b(a_2)+\beta\log_b(a_3)$ write as $\log_b(a)$ for some fraction $a$.
Also calculate to 3 decimal places $\log_b(a)$.
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Question in Number systems questions
Converting integers from one base to another. Includes binary to decimal.
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Question in Ugur's workspace
Convert a variety of numbers from decimal to standard index form.
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Question in Mash's workspace
No description given
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Question in DIAGNOSYS
No description given
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Question in How-tos
Because JavaScript numbers lose precision as they get bigger, you get some unexpected results.
See the variable "two" - the difference should be 2, but because the JavaScript representation of each of the two numbers is the same, it thinks the difference is 0.
Using the decimal data type, there's no loss of precision, so the correct value is produced.
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Question in Luke's workspace
Rounding a value to 3 decimal places
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Exam (6 questions) in Andreas's workspace
Arithmetic operations involving fractions; converting between decimals and fractions; deciding if fractions are equivalent.
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Question in Lineare Algebra 1
Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place.
https://numbas.mathcentre.ac.uk/question/22664/addition-and-subtraction-of-fractions/ by Lauren Richards
Translated to German and Part d) added.
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Question in Ed questions to share
Used for LANTITE preparation (Australia). NC = Non Calculator strand. SP = Statistics & Probability strand. Students are given the experimental probability in ratio form in a sentence, and asked to write it as a decimal. There are 7 different versions of this question.
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Question in Ed questions to share
Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the gifted proportion as a decimal, and the proportion of those who receive support as a decimal, and are required to find the proportion of the whole school who are gifted but do not receive support (as a decimal). There are 9 versions of this question.
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Question in Lineare Algebra 1
Identify well-known fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.
https://numbas.mathcentre.ac.uk/question/22784/decimals-to-fractions/ by Lauren Richards
Translated to German.
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Question in Introduction to Calculus
Given $\rho(t)=\rho_0e^{kt}$, and values for $\rho(t)$ for $t=t_1$ and a value for $\rho_0$, find $k$. (Two examples).
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Question in Bill's workspace
Given $\rho(t)=\rho_0e^{kt}$, and values for $\rho(t)$ for $t=t_1$ and a value for $\rho_0$, find $k$. (Two examples).
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Question in Introduction to Calculus
Solve for $x$ each of the following equations: $n^{ax+b}=m^{cx}$ and $p^{rx^2}=q^{sx}$.
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Question in Introduction to Calculus
Given a sum of logs, all numbers are integers,
$\log_b(a_1)+\alpha\log_b(a_2)+\beta\log_b(a_3)$ write as $\log_b(a)$ for some fraction $a$.
Also calculate to 3 decimal places $\log_b(a)$.
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Question in Introduction to Calculus
Solve for $x$: $c(a^2)^x + d(a)^{x+1}=b$ (there is only one solution for this example).
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Exam (2 questions) in Lyn's workspace
Addition and Subtraction by hand questions, whole numbers and decimals. Fully worked solutions in feedback.
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Question in Lyn's workspace
Subtraction questions, whole and decimal, to be carried out by hand. Full worked solutions given in feedback.
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Question in Lyn's workspace
Addition calculations to be carried out by hand, full worked solutions in feedback.
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Question in Demos
Customised for the Numbas demo exam
Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.
Video in Show steps.