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Math coach presents how to read a number line a number lines shows numbers in order a number line can go in any direction but we most often use a horizontal one notice that a number line has an arrow on each end that means the numbers go on and on all the way to infinity in both directions the point labeled zero is called the origin numbers to the right of zero are greater than zero and are positive numbers to the left are less than zero and are negative numbers we can use a number line to represent whole numbers as well as the fractions and decimals that lie between them, we use the idea of number lines when we measure things an inch ruler works like a piece of a number line the inch marks show whole numbers the marks between show fractional parts a thermometer also works like a piece of a number line this thermometer shows zero degrees Celsius the freezing point of water on a Celsius thermometer positive numbers show temperatures above freezing negative numbers show temperatures below freezing negative five degrees BRR that's cold you can read any number line in three easy steps step one locate the benchmarks and find the interval between them step two count the equal segments and find each length step three skip count to label the marks between the benchmarks let's use this example step 1 find the benchmarks and the interval 400 and 500 our benchmarks 500 take away 400 is 100, so the interval is 100 step 2 count the segments in between and find each length here we see 4 equal segments between the benchmarks 100 divided by 4 is 25, so each segment represents 25 step 3 now we can skip count by 25 from 400 to 500 to label the marks 425 450 475 that lets us identify points Q R and s now that you know the basics let's practice we can solve this problem together which best represents point P on the number line I think it's B remarks after 200 is 203 hmm let's see if your right step one let's find the benchmarks and be interval I see 200 and 300, so the benchmark interval is 100 step 2 now let's count the number of equal segments between the benchmarks hmm one two three four five six seven eight nine ten I count ten 100 divided by 10 is 10, so each segment is ten steps three now let's skip count by ten to label the marks 210 220 230 aha it looks like Point P is a 230, so the best answer is D 230 oh I get it now each mark is ten not one now try this one which number best represents point X on the number line remember take three steps before you jump to conclusions what is step one that's right found the benchmarks let's use zero and positive 20 since point X is between them to finish step one what is he interval you got it the interval between 0 and 20 is 20 what's step two yes count the number of equal segments there are 4 now what your right divide 20 by 4 to find the length of each segment 20 divided by 4 is 5, so each segment is 5 we are almost done what's the last step skip count by 5 from 0 to 20 to label the marks I get it now each mark is 5...
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