The problem is that you and I think they are using an exact system when in fact, they are using one of several systems and all of the systems have some range of error built into them and some of them round off numbers.
If you do the math on the Carbs, Proteins and Fats on most Nutrition Facts labels and use the standard 4/4/9, you will always find discrepancies. Even just going from grams of fat to calories from fat.
These articles/discussions will help...
http://www.nutribase.com/449.htmlhttps://www.accessdata.fda.gov/scripts/ ... on%20labelhttps://www.fda.gov/regulatory-informat ... n-labelinghttp://ajcn.nutrition.org/content/86/6/1649.fullThis is the most descriptive
http://www.gpo.gov/fdsys/pkg/CFR-2004-t ... c101-9.xmlIt says…
(1) “Calories, total,” “Total calories,” or “Calories”: A statement of the caloric content per serving, expressed to the nearest 5-calorie increment up to and including 50 calories, and 10-calorie increment above 50 calories, except that amounts less than 5 calories may be expressed as zero. Energy content per serving may also be expressed in kilojoule units, added in parentheses immediately following the statement of the caloric content.
(i) Caloric content may be calculated by the following methods. Where either specific or general food factors are used, the factors shall be applied to the actual amount (i.e., before rounding) of food components (e.g., fat, carbohydrate, protein, or ingredients with specific food factors) present per serving.
(A) Using specific Atwater factors (i. e., the Atwater method) given in Table 13, “Energy Value of Foods—Basis and Derivation,” by A. L. Merrill and B. K. Watt, United States Department of Agriculture (USDA) Handbook No. 74 (slightly revised, 1973), which is incorporated by reference in accordance with 5 U.S.C. 552(a) and 1 CFR part 51 and is available from the Office of Nutritional Products, Labeling and Dietary Supplements (HFS-800), Center for Food Safety and Applied Nutrition, Food and Drug Administration, 5100 Paint Branch Pkwy., College Park, MD 20740, or may be inspected at the Office of the Federal Register, 800 North Capitol St. NW., suite 700, Washington, DC.;
(B) Using the general factors of 4, 4, and 9 calories per gram for protein, total carbohydrate, and total fat, respectively, as described in USDA Handbook No. 74 (slightly revised 1973) pp. 9-11, which is incorporated by reference in accordance with 5 U.S.C. 552(a) and 1 CFR part 51 (the availability of this incorporation by reference is given in paragraph (c)(1)(i)(A) of this section);
(C) Using the general factors of 4, 4, and 9 calories per gram for protein, total carbohydrate less the amount of insoluble dietary fiber, and total fat, respectively, as described in USDA Handbook No. 74 (slightly revised 1973) pp. 9-11, which is incorporated by reference in accordance with 5 U.S.C. 552(a) and 1 CFR part 51 (the availability of this incorporation by reference is given in paragraph (c)(1)(i)(A) of this section;
(D) Using data for specific food factors for particular foods or ingredients approved by the Food and Drug Administration (FDA) and provided in parts 172 or 184 of this chapter, or by other means, as appropriate; or
(E) Using bomb calorimetry data subtracting 1.25 calories per gram protein to correct for incomplete digestibility, as described in USDA Handbook No. 74 (slightly revised 1973) p. 10, which is incorporated by reference in accordance with 5 U.S.C. 552(a) and 1 CFR part 51 (the availability of this incorporation by reference is given in paragraph (c)(1)(i)(A) of this section).
And, of course, to put it all in perspective, my article on it...
http://www.jeffnovick.com/RD/Q_%26_As/E ... alues.htmlIn Health
Jeff