Numbers and Operations on Numbers. Numbers can represent quantities, amounts, and positions on a number line. The counting numbers (1, 2, 3, 4, 5…) are.

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Presentation transcript:

Numbers and Operations on Numbers

Numbers can represent quantities, amounts, and positions on a number line. The counting numbers (1, 2, 3, 4, 5…) are the numbers we used most often. A prime number is evenly divisible by itself and 1. 2, 3, 5, 7, and 11 are examples of primes. All other numbers are composite, except 1, which is neither prime nor composite. SAT questions in this category may also be about signed numbers, decimals, and fractions, including adding, subtracting, multiplying, and dividing these numbers. SAT questions may also ask you about reciprocals, to compare fractions and decimals, and to convert among fractions, improper fractions, mixed numbers, and decimals.

Simplifying Expressions QUICK REVIEW -

Simplifying Expressions QUICK REVIEW -

Sets QUICK REVIEW - The Intersection of two sets X and Y is the set of elements common to X and Y. An element has to be in both sets to be in the intersection. Intersection is written X ∩ Y. The Union of two sets X and Y is the set of all elements in either set X or set Y, with no element repeated twice. An element that is in one set or both sets is in the union. Union is written X U Y.

Sequences: Sequence – a list of numbers in a specified pattern. Arithmetic Sequence – a sequence in which each term is a constant difference d from the previous term. Find the next three terms in the sequence: 3, 6, 9,… In this sequence 3 is the common difference (d). Therefore, the next three terms in the sequence are 12, 15, 18. The formula can be used to find the nth term of an arithmetic sequence. In the example above, and d = 3. We can use the formula to find terms in the sequence. First term: Fourth term:

Sequences: Geometric Sequence – a sequence such that each term is given by a constant multiple r of the previous one. Find the next three terms in the sequence: 3, 6, 12,… In this sequence r = 2. Therefore, the next three terms in the sequence are 24, 48, 96 The formula can also be used to find the nth term of the Sequence. In this problem a 1 = 3 and r = 2. First term: Sixth term: