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Number Sense and Numeration

Number Sense and Numeration. Comparing and Ordering Numbers. In order to compare numbers or put them in any kind of order we have to understand the value of a number

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Number Sense and Numeration

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  1. Number Sense and Numeration Comparing and Ordering Numbers

  2. In order to compare numbers or put them in any kind of order we have to understand the value of a number • As you would expect, the more digits there are in a number, the greater the value of that number, however things can get tricky when you are comparing numbers with the same number of digits The value of numbers

  3. When this occurs, you need to look at the numbers on the far left of the numbers you are comparing to make things simpler (e.g. If you were asked to compare 37 594 with 29 056, you would first see that 37 594 begins with “37” and that 29 056 begins with “29”, making the comparison simple...37 is greater than 29, making 37 594 greater than 29 056) Comparing the value of same digit numbers

  4. We often use a tool called a number line to help order numbers • A number line is a line with arrows on both ends (which means it could keep going higher and lower) and markings on the line that are evenly spaced to represent numbers • It is important to choose the appropriate scale when you make a number line (just like in graphing) Number Lines

  5. If we count from left to right on the number line, the numbers get higher, and if we count from right to left, the numbers get lower • A number line looks like this:30 000 35 000 40 000 45 000 50 000 55 000 60 000 Number Lines continued...

  6. We use different symbols as visuals when comparing numbers • We call these symbols “inequality signs” • INEQUALITY SIGNS – symbols that are used to make comparisons between numbers, they look like < and > and are called “less than” and “greater than” • We read equations that use inequality signs from left to right, just like words • For example, 8>5 is read as “eight is greater than five” and 5<8 is read as “five is less than eight” Symbols you need to know

  7. Complete “Practising” questions #s 4, 5, 7 and 8 on page 35 of your text book • Use this powerpoint and read Heather’s Comparison investigation to support your learning On Your Own

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