In this topic, students will:
understand how integers and their opposites are related
identify rational numbers and write them in decimal form
add positive and negative integers
model integer addition in real-life applications
understand subtraction of integers as adding the additive inverse, p - q = p + (-q)
use properties of operations to add and subtract rational numbers
multiply positive and negative integers
apply integer multiplication to real-life applications
find the product of rational numbers
understand how to divide integers by applying the rules of multiplying integers
determine the equivalences among integer quotients
understand how the signs of integers in a multiplication sentence relate to the signs of related division statement
decide which operations to use to solve problems
use precision when solving problems with rational numbers
Vocabulary:
Repeating decimal - a decimal that has a never-ending pattern of the same digits
Terminating decimal - a decimal that ends
Additive inverse - two numbers that have a sum of 0
Complex fraction - a fraction a/b where a and/or b are fractions and b is not equal to 0.
Multiplicative inverse - the reciprocal of a given number