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Transcript
-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. Opposite integers always have a “net worth” of 0. This is called the ZERO PRINCIPAL. Opposite integer have the same “absolute value”, meaning the distance from the points on a number line to zero is the same. This can be referred to as the integers magnitude. Opposite Integers Every integer represents a magnitude and a direction. The integer +3 describes a movement of 3 units in a positive direction.(right) The sign (+) tells you the direction. The number (3) indicates how far to move or the MAGNIUDE( a movement of 3 units) Direction + 3 Movement on a Number Line Magnitude and Direction Magnitude Which integer has a higher value? -4 or -8 Comparing Integers Use a number line to help you compare each set of numbers. Copy the question and write two sentences for each pair of numbers. For the numbers 3 , - 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. For example: 3, - 2 = 3 is 5 more than –2