Author: Saim Khalid

This tutorial provides comprehensive coverage of prime numbers, factors and multiples based on Common Core CCSS and State Standards and its prerequisites. Students can navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs. This simple tutorial uses appropriate examples to help you understand prime numbers,…

Definition The absolute value of a number a is denoted as |a| |a| = a, if a is positive |a| = a, if a is negative |0| = 0 Absolute value of a number is the distance of the number on the number line from 0. The absolute value of a number is never negative. For example, the absolute value of both 5 and…

Introduction Integers are whole numbers and their opposites taken together. They dont have decimal or fractional parts. For example, the following set of numbers are integers Z = {3, 2, 1, 0, 1, 2, 3} In this lesson, we solve problems involving addition of integers In this addition of two integers, there are two cases.…

This tutorial provides comprehensive coverage of operations with integers based on Common Core (CCSS) and State Standards and its prerequisites. Students can navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs. This simple tutorial uses appropriate examples to help you understand operations with…

Problem 1 Evaluate the expression 21 + 32 ÷ 42 Solution Step 1: We follow the order of operations rule PEMDAS, Here there are no parentheses. Step 2: So, first we evaluate the term with an exponent. 21 + 32 ÷ 42 = 21 + 32 ÷ 16 Step 3: We do division 21 + 32 ÷ 16 =…

Introduction Math expressions use grouping symbols like brackets [], braces {} and parentheses . We now evaluate expressions involving order of operations with whole numbers using such grouping symbols. Problem 1 Evaluate the following expression [3 +15+6 ÷ 7] 4 Solution Step 1: We must follow the rule of order of operations PEMDAS. We start with the…

Introduction The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the quotient of the rounded whole numbers is found to estimate the quotient of whole numbers. Problem 1 Estimate the quotient 5873 ÷ 346 by first rounding each number so that it has only one non-zero digit.…

Introduction The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the product of the rounded whole numbers is found to estimate the product of whole numbers. Problem 1 Estimate the product 573 94 by first rounding each number so that it has only one non-zero digit. Solution…

Introduction The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the difference of the rounded whole numbers is found to estimate the difference of whole numbers. Problem 1 Estimate the difference 6,573 4,536 by first rounding each number to the nearest hundred. Solution Step 1: In 6,573,…

Introduction The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the sum of the rounded whole numbers is found to estimate the sum of the whole numbers. Problem 1 Estimate the sum 3,273 + 8,781 + 11,309, by first rounding each number to the nearest thousand. Solution…