Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Positional notation wikipedia , lookup
Infinitesimal wikipedia , lookup
Abuse of notation wikipedia , lookup
Large numbers wikipedia , lookup
Law of large numbers wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Collatz conjecture wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
-3.4 -$1.24 53 +$90 -21 + 1/2 +4 0 -50% Integers • Integers are whole numbers that describe opposite ideas in mathematics. • Integers can either be negative(-), positive(+) or zero. • The integer zero is neutral. It is neither positive nor negative, but is an integer. • Integers can be represented on a number line, which can help us understand the valve of the integer. Positive Integers • Are to the right of zero • Are valued greater than zero. • Express ideas of up, a gain or a profit. • The sign for a positive integer is (+), however the sign is not always needed. • Meaning +3 is the same value as 3. Negative Integers • Are to the left of zero • Are valued less than zero. • Express ideas of down or a lose. • The sign for a negative integer is (-). This sign is always needed. Zero is neither positive or negative Negative integers are valued less than zero, and are always to the left of zero. Positive integers are valued more than zero, and are always to the right of zero. The “net worth” of opposite integers is zero. Absolute Value • Opposite integer have the same “absolute value”, meaning the distance from the points on a number line to zero is the same. • Absolute value of a number is never represented as a negative number. Ex: l-5l = 5 l-31l = 31 l10l = 10 Which integer has a higher value? -4 or -8 Comparing Integers Use your number line to help you compare each set of number. (i.e. for the numbers 3 ,and - 2 …. 3 > -2 -2 < 3) a) - 6, 7 b) 12, 3 c)- 5,- 8 d) 11, - 15 e) - 7, - 4 f) - 3, - 7 g) 7, - 8 h) - 13, -14 Putting Things Together • What is the greatest valued negative integer? Comparing Integers Use your number line to help you compare each set of numbers. Copy the question and write two sentences for each pair of numbers. (i.e. for the numbers 3 ,and - 2 …. 3 > -2 -2 < 3) a) - 6, 7 b) 12, 3 c)- 5,- 8 d) 11, - 15 e) - 7, - 4 f) - 3, - 7 g) 7, - 8 h) - 13, -14 i) 8, 7 j) - 8, - 7 k) 5, -1 l) 0, -2 m) 0, 3 n) - 5, 0 o) – 14, -10 p) - 9, 0 q) -7, -6 r) -1, 0 s) 4, -4 t) 0, -15 Comparing Integers Again • For each of the previous questions (a) to (t), write a new mathematical sentence showing how much bigger or smaller the first number is than the second. • (i.e. 3, - 2 ….. 3 is 5 more than –2) Comparing Integers • -5 ___ -8 • 0 ___ -3 • 3 ___ +2