Should the use of calculators be allowed in math classes when adding, subtracting, multiplying, and dividing integers, or should students be expected to complete these operations without technology?
What is the first step when adding integers?
To add integers, combine the numbers and keep the sign of the larger number. To subtract integers, find the difference and keep the sign of the number you are subtracting from. To multiply and divide integers, count the number of negative signs and keep the sign of the product or quotient.
Adding, Subtracting, Multiplying, and Dividing Integers
Adding Integers: To add two integers, add the absolute values of the two numbers, then give the sum the same sign as the integer with the larger absolute value. Subtracting Integers: To subtract two integers, take the absolute value of the number being subtracted from the absolute value of the number it is being subtracted from, then give the difference the same sign as the integer with the larger absolute value. Multiplying and Dividing Integers: When multiplying and dividing two integers, the sign of the answer will be positive if the two integers have the same sign and negative if the two integers have different signs.
Concepts:
Integers can be used to represent time by counting the number of seconds, minutes, and hours between two moments. The ancient Babylonians were the first to use negative numbers in their calculations. The symbol for divide, '÷', was invented by Swiss mathematician Johann Rahn in 1659.
Did you know?
How can you use the rules of adding, subtracting, multiplying, and dividing integers to solve real-world problems?
Why is it important to understand the rules of adding, subtracting, multiplying, and dividing integers?
What strategies do you use to remember the rules of adding, subtracting, multiplying, and dividing integers?
How can understanding the rules of adding, subtracting, multiplying, and dividing integers help you in other math classes?
Question: Ben and Sarah are trying to practice adding, subtracting, multiplying, and dividing integers. What is the best way to help them practice? Clues: • Integers are whole numbers that can be either positive or negative. • Adding two positive integers gives a positive result, while adding two negative integers gives a negative result. • When multiplying two integers with different signs, the result is always negative. In pairs: Select and solve one of the tasks: A. Ben and Sarah can create a set of flashcards with example problems and solutions. B. Ben and Sarah can create a game to help them practice by drawing two positive and two negative integers and asking each other questions about the result of adding, subtracting, multiplying, and dividing them.
What is the result of subtracting -3 from 4?
What is the result of adding -5 to -7?
What is the result of multiplying -2 and 3?
What is the result of dividing -12 by 4?
What is the result of adding -5 and 7?
Work together in pairs: What is the rule for multiplying two negative integers?