In a mathematical expression where the same number is multiplied many times, it is often useful to write the number as a base with an exponent. Exponents are also used to evaluate numbers. Any number to a zero exponent is 1 and any number to a negative exponent is a number less than 1. Exponents are used in scientific notation to make very large or very small numbers easier to write. Read More...

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Study GuideExponents, Factors and FractionsWorksheet/Answer key

Exponents, Factors and FractionsWorksheet/Answer key

Exponents, Factors and FractionsWorksheet/Answer key

Exponents, Factors and FractionsWorksheet/Answer keyExponents, Factors and Fractions

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Compare and order fractions, decimals, and percents efficiently and find their approximate locations on a number line.

Develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculator notation.

Use factors, multiples, prime factorization, and relatively prime numbers to solve problems.

Connections to the Grade 7 Focal Points (NCTM)

Number and Operations: In grade 4, students used equivalent fractions to determine the decimal representations of fractions that they could represent with terminating decimals. Students now use division to express any fraction as a decimal, including fractions that they must represent with infinite decimals. They find this method useful when working with proportions, especially those involving percents. Students connect their work with dividing fractions to solving equations of the form ax = b, where a and b are fractions. Students continue to develop their understanding of multiplication and division and the structure of numbers by determining if a counting number greater than 1 is a prime, and if it is not, by factoring it into a product of primes.

Standards