Author: Saim Khalid

  • Rounding to Hundreds or Thousands

    Definition Rounding of a number means replacing it with another number that is nearly equal to it but easy to represent or write. For example 754 rounded to nearest thousand is 1000. If the rounding number is 4 or less it is round down. If the rounding number is 5 or more it is rounded up.…

  • Rounding to Tens or Hundreds

    Definition Rounding of a number means replacing it with another number that is nearly equal to it but easy to represent or write. For example 97 is rounded to 100. If the rounding number is 4 or less it is round down. If the rounding number is 5 or more it is rounded up. For example…

  • Ordering Large Numbers

    Introduction If a series of large numbers are given, we would be interested in ranking or ordering them. We can either order them from the largest to the smallest or from smallest to the largest. Rules for ordering large numbers Problem 1 Order the following numbers from the least to the greatest 362,239; 76,231; 4572;…

  • Comparing a Numerical Expression

    Definition A numerical expression is a mathematical statement involving only numbers and one or more arithmetic operation symbols+,−,×,÷. A numerical expression always represents a particular number. For example, the numerical expression 5 + 20 − 9 is equal to the number 16 when simplified. Examples The following are some examples of numerical expressions. 5 + 20 − 7, 4 + 3 −…

  • Introduction to Inequalities

    Definition An inequality is a mathematical statement which shows that two values are not equal. a ≠ b means that a is not equal to b. It means that either a is less or greater than b. There are special symbols that show how things are not equal. a < b means that a is less than b a > b means that a is greater than b a ≤ b means that a is less than or equal to b a ≥ b means that a is greater than…

  • Ordering Rounding

    This tutorial provides comprehensive coverage of ordering, rounding and order of operations in whole numbers 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…

  • Sales tax, commission, discount

    Introduction In this lesson, we solve problems on finding a percentage of a total amount without a calculator involving sales tax, commission and discount. Consider the following solved examples. Example 1 Thesalestaxona&dollar;1050computersystemis&dollar;63.Whatisthesalestaxrate? Solution Step 1: Price of the computer = &dollar;1050 Sales tax = &dollar;63 Step 2: Rate of Sales tax = ⟮$63$1050⟯×100 = 6% Example…

  • Applying the percent equation

    Introduction In this lesson, we solve problems involving percent equations. Percent problems can be reduced to equations and the unknown quantity is found by solving that equation Consider the following example problems Example 1 125% of 50.8 is what number? Solution Step 1: In this problem, the words of, is, and what translate to a…

  • Applying the percent equation

    Introduction In this lesson, we solve problems involving percent equations. Percent problems can be reduced to equations and the unknown quantity is found by solving that equation Consider the following example problems Example 1 36 is what percent of 80? Solution Step 1: In this problem, the words of, is, and what translate to a…

  • Finding a percentage of a whole number

    Introduction We can find the percentages of whole numbers without a calculator in some cases where standard percentages are involved. Some standard percentages are like 1%, 10%, 25%, 50%, 100%. Rules to find the percentage of a whole number without a calculator Example 1 What is 10% of 180? Solution Step 1: To find 10%…