Why Are Big Negative Numbers Less Than Small Ones?
We are used to big positive numbers meaning a big value - the bigger the number, the more, or higher, or longer, or expensive, or whatever the number represents.
With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller. Think what the number represents. Think what the value is.
Looking at numbers on a vertical number line can be useful.
Zero is neither positive or negative
Which is greater, -5 or -3?
Locate both numbers on the number line. Numbers to the right are greater. -3 is to the right of -5 so -3 is greater.
Put the following numbers in order starting with the least. -23, 17, -32, 2, -4, 0
Start looking at the negative numbers as these are always less than positive numbers. Start with the "biggest" negative number ( -32) as that has the lowest value.
Find the next "biggest" negative number (-23) and continue until the negative numbers are in order.
Zero and positive numbers can then be put into order to give the following complete list:
-32 , -23 , -4 , 0 , 2 , 17
Which of these numbers is greater
than -6 but less than 4?
-8, -10, 5, -4, 0
Start be finding all the numbers that are less than -6. This gets rid of -8 and -10 (to the left of -6 on the number line).
Next we'll get rid of any number that is greater (not less) than 4. This means 5 is out leaving:
-4 and 0