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The 10 −7 represents a denominator of 10 7. Dividing by 10 7 moves the decimal point 7 places to the left. Decimal fractions with infinitely many digits to the right of the decimal separator represent an infinite series. For example, 1 / 3 = 0.333... represents the infinite series 3/10 + 3/100 + 3/1000 + ....
For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...
Pre-algebra is a common name for a course taught in middle school mathematics in the United States, usually taught in the 6th, 7th, 8th, or 9th grade. [1] The main objective of it is to prepare students for the study of algebra. Usually, Algebra I is taught in the 8th or 9th grade. [2]