The benchmarks in math are like tests to see if you understand and if the teacher teaches it good for you to understand
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The number that has the same estimate when using benchmarks of thousands and ten thousands is 5,000. When using benchmarks of thousands, 5,000 would round to 5,000. When using benchmarks of ten thousands, 5,000 would also round to 5,000 since it falls between 0 and 10,000. This number remains the same regardless of the benchmark used due to its position relative to the benchmarks.
You have every right to be concerned, the descriptions "decimal benchmarks" and "fraction benchmarks" are open to many interpretations. In this case, make your own [reasonable] interpretations. If the fractional benchmarks where 1/100 , this is an exact fraction 23/100. If they are taken to be 1/2, 1/4, 1/5, etc., .23 is closer to 1/4, than any other, BUT it is also closer still to 2/9 [hence the confusion]. For decimal benchmarks, there is less confusion, but it is still there. If the benchmarks are .1, .2, .3, .4, .5, .6, .7, .8, .9 etc., the nearest one is .2. If the benchmarks are further refined [between .2 and .3], with .21, .22, .23, .24, ... then .23 coincides with a benchmark. This is not my work I got it from anthony@yahoo.com
You have every right to be concerned, the descriptions "decimal benchmarks" and "fraction benchmarks" are open to many interpretations. In this case, make your own [reasonable] interpretations. If the fractional benchmarks where 1/100 , this is an exact fraction 23/100. If they are taken to be 1/2, 1/4, 1/5, etc., .23 is closer to 1/4, than any other, BUT it is also closer still to 2/9 [hence the confusion]. For decimal benchmarks, there is less confusion, but it is still there. If the benchmarks are .1, .2, .3, .4, .5, .6, .7, .8, .9 etc., the nearest one is .2. If the benchmarks are further refined [between .2 and .3], with .21, .22, .23, .24, ... then .23 coincides with a benchmark. This is not my work I got it from anthony@yahoo.com
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