China
Africa
Explore chapters and articles related to this topic
Decimals
Published in John Bird, Bird's Basic Engineering Mathematics, 2021
To convert a proper fraction to a decimal fraction, the numerator is divided by the denominator. 0.875887.0008 into 7 will not go. Place the 0 above the 7Place the decimal point above the decimal point of 7.0008 into 70 goes 8, remainder 6. Place the 8 above the first zero after the decimal point and carry the 6 remainder to the next digit on the right, making it 608 into 60 goes 7, remainder 4. Place the 7 above the next zero and carry the 4 remainder to the next digit on the right, making it 408 into 40 goes 5, remainder 0. Place 5 above the next zero.
Stoichiometry
Published in Franco Battaglia, Thomas F. George, Understanding Molecules, 2018
Franco Battaglia, Thomas F. George
In general, the rule to follow is to declare the result of a product with as many significant figures as those of the factor with less significant figures.3 In the above example, x = 1.2 and y = 1.20 have two and three significant figures, respectively, and the value to declare for their product must then have two significant figure, as it is in xy = 1.4. For completeness, we just mention that when two decimal numbers are summed, what counts is not the number of significant figures, but the number of decimal figures: in the sum of several numbers, one should keep as many decimal figures as in the number with the least decimal figures.
Numeric Data in Memory
Published in Julio Sanchez, Maria P. Canton, Software Solutions for Engineers and Scientists, 2018
Julio Sanchez, Maria P. Canton
In the decimal system the value of each digit to the right of the decimal point is calculated as 1/10, 1/100, 1/1000, and so on. The value of each successive digit of a binary fraction is the reciprocal of a power of 2, hence the sequence: 1/2, 1/4, 1/8, 1/16, et cetera. Figure 2.2 shows the positional weight of the integer and the fractional digits in a binary number.
Middle-school mathematics teachers’ provision of non-examples and explanations in rational number instruction
Published in International Journal of Mathematical Education in Science and Technology, 2022
As the above explanation shows, T4 intended to provide the students with a non-example of a rational number that can be expressed as an infinite non-repeating decimal number. However, T4 might not have achieved her intended purpose due to some limitations in her non-example and in her way of explaining irrational numbers. First, she did not use an ellipsis to show the indefinite continuation of the irrational number although she tried to explain it verbally (violation of C-7). Without an ellipsis, 0.25784 is actually a terminating decimal and therefore it is not a non-example of a rational number. Even if T4 had used this non-example with a correct mathematical notation (i.e. 0.25784 …), it might not have been convincing to students. That is, relatively few decimal digits are apparent in this non-example and thus the arbitrary nature of the digits after the decimal point is less transparent and not easy to recognize. Besides, the number 0.25784 … can also refer to a repeating decimal in which the length of the period is 5 digits. Accordingly, it would be pedagogically more appropriate for T4 to introduce the students to more pivotal examples (Zazkis & Chernoff, 2008) such as 0.2578467593876954767954867079576781257 … to help them discover the arbitrary nature of decimal digits in an irrational number and eventually distinguish between decimal representations of rational and irrational numbers. Second, for irrational numbers, the word ‘extend’ should be used instead of the word ‘repeat’ (violation of C-6). Finally, it is unclear what ‘irregular numbers’ mean (violation of C-6). It can be expressed more clearly as ‘There are some numbers whose decimal digits extend forever irregularly’.
A data mining based approach for process identification using historical data
Published in International Journal of Modelling and Simulation, 2022
Ridouane Oulhiq, Khalid Benjelloun, Yassine Kali, Maarouf Saad
Data formatting. In this step, data columns are renamed and the format of each data field is corrected. This includes correcting the dates formats, changing the decimal separator from commas to periods, and changing number formats from strings to numeric.