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  • Measurement Benchmarks

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    Below are some examples of measurement benchmarks used in elementary schools often. These benchmarks can help students estimate measurements. Examples of estimating with customary units The chart below show benchmarks for customary units of measurement 2Save The chart below show benchmarks for metric units of measurement 2Save Other examples of estimating with metric units

  • Cluster estimation

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    Cluster estimation can be used to estimate sums and products when the numbers you are adding or multiplying cluster near or is close in value to a single number.Example # 1: Estimate 699 + 710 + 695 + 705 + 694 + 715 Carefully examine all the numbers above. You should notice that they all…

  • What are compatible numbers? Definition and examples

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    What are compatible numbers? Compatible numbers are numbers that look nice or friendly with each other when we do mental calculation to estimate a product, an addition, a subtraction, but especially a division. Using the figure above, we can make the following conclusions about compatible numbers: Estimating sums Estimating differences Estimating products and quotients. Some…

  • Estimating a Sum

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    With front end estimation, we only round and add the numbers in the leftmost place or the very last number on the left.This means that all numbers in other places will be zeros except the number in the leftmost place after the numbers are rounded Having said that, if the numbers have two digits, round to the tens place before…

  • Rounding whole numbers

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    Rounding whole numbers is the process by which we make numbers look a little nicer. Numbers that look nice in our mind are numbers that usually end with a zero such as 10, 30, 200. Therefore, when rounding numbers, it usually means that you are going to try to put zero(s) at the end. Numbers…

  • Rounding and estimating

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    This lesson about rounding and estimating will introduce you to some of the most common methods of estimation and rounding numbers. In many cases, some calculations may require an exact answer instead of an estimation. Pretend that you buy some groceries from the supermarket. You give the cashier 20 dollars for a purchase of 16.87 dollars. An exact…

  • Find the inverse of a number

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    There are two ways to find the inverse of a number. The first way is to look for the opposite or additive inverse of the number. The second way is to look for the reciprocal or multiplicative inverse of the number. Examples showing how to find the inverse of a number Find the opposite and…

  • Density property

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    The density property states that between two rational numbers, there is another rational number. For example, is there a rational number between 0 and 1/2 ? Yes, there is a rational number between 0 and 1/2 and that rational number is 1/4.  0           1/4            1/2 If you do not quite understand why 0 is a…

  • Properties of inequality

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    We will show 6 properties of inequality. When appropriate, we will illustrate with real life examples of properties of inequality. Let x, y, and z represent real numbers Addition property: If x < y, then x + z < y + z Example: Suppose Sylvia’s weight < Jennifer’s weight, then Sylvia’s weight + 4 <…

  • Properties of equality

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    There are 8 properties of equality and their names are listed below. We will define them and when appropriate, we will illustrate with real life examples of properties of equality.  Reflexive property of equality Let x represent a real number. The reflexive property states that a number is always equal to itself. Mathematically, x = x…