Comparing Positive and Negative Numbers: IM 6.7.3
[url=https://im.kendallhunt.com/MS/teachers/1/7/3/preparation.html]“Comparing Positive and Negative Numbers”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 6.7.3
- IM 6.7.3 Lesson: Comparing Positive and Negative Numbers
- Practice 6.7.3
- IM 6.7.3 Practice: Comparing Positive and Negative Numbers
IM 6.7.3 Lesson: Comparing Positive and Negative Numbers
Which inequality doesn’t belong? Explain your reasoning.
[list][*][math]\frac{5}{4}<2[/math][br][/*][*][math]8.5>0.95[/math][br][/*][*][math]8.5<7[/math][br][/*][*][math]10.00<100[/math][/*][/list]
Here are the low temperatures, in degrees Celsius, for a week in Anchorage, Alaska. Plot the temperatures on a number line.
Which day of the week had the lowest low temperature?[br][br][img]data:image/png;base64,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[/img]
The lowest temperature ever recorded in the United States was -62 degrees Celsius, in Prospect Creek Camp, Alaska. The average temperature on Mars is about -55 degrees Celsius.
Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars? Explain how you know.
Write an inequality to show your answer.
On a winter day the low temperature in Anchorage, Alaska, was -21 degrees Celsius and the low temperature in Minneapolis, Minnesota, was -14 degrees Celsius.
Jada said, “I know that 14 is less than 21, so -14 is also less than -21. This means that it was colder in Minneapolis than in Anchorage.”[br][br]Do you agree? Explain your reasoning.
[size=150]Another temperature scale frequently used in science is the [i]Kelvin scale[/i]. In this scale, 0 is the lowest possible temperature of anything in the universe, and it is [math]-273.15[/math] degrees in the Celsius scale. Each [math]1K[/math] is the same as [math]1°C[/math], so [math]10K[/math] is the same as [math]-263.15°C[/math].[/size][br][br]Water boils at [math]100°C[/math]. What is this temperature in [math]K[/math]?
Ammonia boils at [math]-35.5°C[/math]. What is the boiling point of ammonia in [math]K[/math]?
Explain why only positive numbers (and 0) are needed to record temperature in [math]K[/math].
Plot the numbers -2, 4, -7, and 10 on the number line. Label each point with its numeric value.
Decide whether each inequality statement is true or false.
[math]-2<4[/math]
Explain your reasoning.[br]
[math]-2<-7[/math]
Explain your reasoning.
[math]4>-7[/math]
Explain your reasoning.[br]
[math]-7>10[/math]
Explain your reasoning.[br]
Drag each point to its proper place on the number line. Use your observations to help answer the questions that follow.
Andre says that [math]\frac{1}{4}[/math] is less than [math]-\frac{3}{4}[/math] because, of the two numbers, [math]\frac{1}{4}[/math] is closer to 0. Do you agree? Explain your reasoning.
Answer each question. Be prepared to explain how you know.
Which number is greater: [math]\frac{1}{4}[/math] or [math]\frac{5}{4}[/math]?
Which number is farther from 0: [math]\frac{1}{4}[/math] or [math]\frac{5}{4}[/math]?
Which number is greater: [math]-\frac{3}{4}[/math] or [math]\frac{5}{8}[/math]?
Which number is farther from 0: [math]-\frac{3}{4}[/math] or [math]\frac{5}{8}[/math]?
Is the number that is farther from 0 always the greater number? Explain your reasoning.
IM 6.7.3 Practice: Comparing Positive and Negative Numbers
Decide whether each inequality statement is true or false.
[math]-5>2[/math]
Explain your reasoning.
[math]3>-8[/math]
Explain your reasoning.
[math]-12>-15[/math]
Explain your reasoning.
[math]-12.5>-12[/math]
Explain your reasoning.[br]
Here is a true statement: [math]-8.7<-8.4[/math]. Select [b]all [/b]of the statements that are equivalent to [math]-8.7<-8.4[/math].
Plot each of the following numbers on the number line. Drag the label to each point with its numeric value.
The table shows five states and the lowest point in each state.
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1ALAaVtG1UtBgrWUWQWLOFURqAJAkrbNqomdKwrqshcl9WrjUB7BJS2bVTtuTm7A0Xm2Ym8wAh0hoDSto2qM6LmtKPInLPWMUagZwSUtm1UPbMmelNkinAPG4FhEFDatlENQ+Fbo4rMtwhfGYExEVDatlENyKcic8CtuGUjMEFAadtGNYFpjBtF5hjdu0sjoBFQ2p4YFYL8MQbWgDXQUgM5G5sYVS7AY/0hABH5MAIfEQGlbRvVgGwrMgfcils2AhMElLZtVBOYxrhRZI7Rvbs0AhoBpW0blcas2xlFZrcNuzEjMBMBpW0b1UwAewpTZPbUo3sxAksQUNq2US1Bs/EaRWbjtlzeCKxGQGnbRrUa2voJFJn1O3FFI1AWAaVtG1VZnKtkU2RWKe4iRmBDBJS2bVQbgr5VakXmVvWc1wjUQkBp20ZVi4GCdRSZBUs4lRFogoDSto2qCR3riioy12X1aiPQHgGlbRtVe27O7kCReXYiLzACnSGgtG2j6oyoOe0oMuesdYwR6BkBpW0bVc+sid4UmSLcw0ZgGASUtm1Uw1D41qgi8y3CV0ZgTASUtm1UA/KpyBxwK27ZCEwQUNq2UU1gGuNGkTlG9+7SCGgElLZtVBqzbmcUmd027MaMwEwElLZtVDMB7ClMkdlTj+7FCCxBQGnbRrUEzcZrFJmN23J5I7AaAaVtG9VqaOsnUGTW78QVjUBZBJS2bVRlca6STZFZpbiLGIENEVDabmJUj4+Pu4uLi8nn7u5u1vafnp5219fXu5eXl1nxJYPQ983Nze719bVk2rNzKTLPTuQFRqAzBJS2qxoVzAUms8ZobFS7/f/vxc701X07eBDGh2P6YEwfnukDCQ8njMUcuIYeeVDfjEFOH+ch0NyoSHQqgPO2sdsLY43RnVsvxvuNKqIxzvXz8/Pu27dvh4Zxf3l5uaORwGD+85//HOZpONHMMPb169cd1uYOrmFO1ohGllvnsSkCzY0KhEEciujYbnz6pWtyb1QUCZ9kqRlCPMiJM5+CyMN4nNM16Cf2gfmHh4d3cczJXDWEqciMGPpaI8CHZjSiNBpzURPQLYwKWssd0EGMR0yaI7fOY1MElLar/fQDkafehCigSDgNhQaAc8zDJxfy84BAYgzmrq6udvf39wzZ/fjx4/C3JtaNwk1zsI/YWxqT6+VQsOCFIrNgiQ+dCnpIH4Bxw+SamsMcx/hAijrI6Ydrog5jDV/nEVDarmZU+FJHcnNtQgw5AcW1iInkxznm5BsWzQvnuIZx8YwY9kfDiUJFbKylYubUinWXXCsyl+T6LGuoCfX2TLPB/CmtMBfjuJZ6I6ZKz5z3+T0CStvVjGrOFziaRdxCXBuNSgmE4zAWHMfy8gkZBRprpH3QzFRMDXEqMmOvvtYIgCPwDV3kDj6EqJ9jMchF40rz1dBCrreRx5S2qxnVHNKOGQqfXsjDaxpSKhCOU2i5vJhjHhCLGN7HGpH0mEfFzNlnzLnkWpG5JNdnXRP5zmFwisdoTqnemE9phPM+v0dAabuaUSkyY6tKHDAV9SYT55grighj0WBwzycm6vGIws3NIy7WUjExD3OXPisyS9f5yPlO8aS0SExS/lONIS7qhet8Po6A0nY1o0J7JJemk7ZMM4vzEABe02kqOPPNJ+ZEHA7miDGpiFIj4z3X5HKgLvqIvUGIXIPajGEv+4Y2+EeRuUGpD5Hy9+/fO3x4UIfkCfz//PmT04efcuCXx69fv3h50FjUQpqT99TtYbEvjiKgtF3VqNghBIAvffxQFDQJzqV/XE+NCjkpCq6JAsJ8alQYo6lgDWrgf3oQTSftAzm/f/8+iUGedC81hKnIRD8+3iMA/qkNnmlSiI5a4Dz1iHk+yDiHc5xnxVSHNbTA2h/lrLTdxKg+Cqit9qHIbNWP6xqBUggobduoSiFcMY8is2ILLmUENkFAadtGtQnc2yZVZG5b1dmNwPYIKG3bqLbHvngFRWbxQk5oBCojoLRto6pMRIlyiswSuZ3DCLREQGnbRtWSlYW1FZkL03mZEegGAaVtG1U3FM1vRJE5P4MjjUCfCCht26j65OtoV4rMo4s8aQQGQEBp20Y1AHlpi4rMNM73RmA0BJS2bVSjMbnz/yniASlzyzMRsFHNBGqEMEXmCL27RyNwDAGlbb9RHUOt0zlFZqftui0jMBsBpW0b1WwI+wlUZPbToTsxAssQUNq2US3Ds+kqRWbTplzcCBRAQGnbRlUA3NopFJm1+3A9I1AaAaVtG1VppCvkU2RWKO0SRmBTBJS2bVSbwr5NckXmNtWc1QjUQ0Bp20ZVj4NilRSZxQo4kRFohIDSto2qESFryioy1+T0WiPQAwJK2zaqHtg5swdF5plpHG4EukNAadtG1R1VpxtSZJ5e6Qgj0DcCStsTo0KQP8bAGrAGWmogZ6UTo8oFeKw/BCAiH0bgIyKgtG2jGpBtReaAW3HLRmCCgNK2jWoC0xg3iswxuneXRkAjoLRto9KYdTujyOy2YTdmBGYioLRto5oJYE9hisyeenQvRmAJAkrbNqolaDZeo8hs3JbLG4HVCCht26hWQ1s/gSKzfieuaATKIqC0baMqi3OVbIrMKsVdxAhsiIDSto1qQ9C3Sq3I3Kqe8xqBWggobduoajFQsI4is2AJpzICTRBQ2rZRNaFjXVFF5rqsXm0E2iOgtG2jas/N2R0oMs9O5AVGoDMElLZtVJ0RNacdReactY4xAj0joLRto+qZNdGbIlOEe9gIDIOA0raNahgK3xpVZL5F+MoIjImA0raNakA+FZkDbsUtG4EJAkrbNqoJTGPcKDLH6N5dGgGNgNK2jUpj1u2MIrPbht2YEZiJgNK2jWomgD2FKTJ76tG9GIElCCht26iWoNl4jSKzcVsubwRWI6C0baNaDW39BIrM+p24ohEoi4DSto2qLM5VsikyqxR3ESOwIQJK21WM6uXlZXd9fb17fHzcbItza8yN26zRAokVmQVSO4URaIqA0vaHMarn5+fd5eXlSTOcG9eUrRPFFZknlnl6IQJ8uF1cXOzwwUMXYz7KI6C0/WGMqjxk/WZUZPbb8bid0aTir4G7u7vdzc3N7vX1ddyNddq50nY3RgUh8ImF89PT0wFKiiU3RgHlYiAo5uRTMI3jG1Yax+LIjzyxP+ZiTKyDPOyJ86XPiszSdZxvt4M+rq6u9mfiAR2mGuCcz+sQUNruwqjwRY/E0zz4hU/NBVBwTMVgPPfU4zqa3s+fPyev8eglrkMemA/GceApivl4/+PHjwM77J35DxMFLxSZBUs41b8IkG9qgvfk30CVRUBpu7lRqS82DILmlZoLoOGYMqrUcAgn1ykjSZ+WsQ/mSGM4jjOFzL7iXKlrRWap/M7zHgHwybfuLbl9X/lzjShtNzcq9aXHOP44DiPLmQvHKBreYx0OGmD6UyyNQyzWUIQ4sy7mkJ9P033if+NjDM0p5tjyiavIZH8+L0MAnEUOoQtySz6pn1QTyyp6VYqA0vaHNSoCQBOisCg0GhqMKJoOxuP9KaNiPgo5FTb7KHlWZJas4Vx/EQD/fLMnJnwIUkMc93k9AkrbzY1KkR4FQjPAGI90jPc58aAG/yAa43gd855rVLFP9GajIkMf4wx++ZDjjnK64ZzP6xDo1qiwLbyNxKcWzAKv4NFAEBMFg/sYQ/HQqH79+nVADGPMH+NSU+H9OW9UqbGxd75hHZooeKHILFjCqf5FgA/SqMX04WSwyiGgtF31jSr+/sc1zQPbpPEwhoZDCGgwnIdYsIYC4jzW0XAYizPzxTjkphAZ+/DwcHj7wjzyR4PEGHJFM4u9I/b29vbwXwXZf8mzIrNkDed6QyDVSNTtW5SvSiCgtF3FqEpswDneEFBkvkX4ygiMiYDSto1qQD4VmQNuxS0bgQkCSts2qglMY9woMsfo3l0aAY2A0raNSmPW7Ywis9uG3ZgRmImA0raNaiaAPYUpMnvq0b0YgSUIKG3bqJag2XiNIrNxWy5vBFYjoLRto1oNbf0Eisz6nbiiESiLgNK2jaoszlWyKTKrFHcRI7AhAkrbNqoNQd8qtSJzq3rOawRqIaC0baOqxUDBOorMgiWcygg0QUBp20bVhI51RRWZ67J6tRFoj4DSto2qPTdnd6DIPDuRFxiBzhBQ2rZRdUbUnHYUmXPWOsYI9IyA0raNqmfWRG+KTBHuYSMwDAJK2zaqYSh8a1SR+RbhKyMwJgJK2zaqAflUZA64FbdsBCYIKG3bqCYwjXGjyByje3dpBDQCSts2Ko1ZtzOKzG4bdmNGYCYCSts2qpkA9hSmyOypR/diBJYgoLRto1qCZuM1iszGbbm8EViNgNK2jWo1tPUTKDLrd+KKRqAsAkrbE6NCkD/GwBqwBlpqIGd9E6PKBXisPwQgIh9G4CMioLRtoxqQbUXmgFtxy0ZggoDSto1qAtMYN4rMMbp3l0ZAI6C0baPSmHU7o8jstmE3ZgRmIqC0baOaCWBPYYrMnnp0L0ZgCQJK2zaqJWg2XqPIbNyWyxuB1QgobduoVkNbP4Eis34nrmgEyiKgtG2jKotzlWyKzCrFXcQIbIiA0raNakPQt0qtyNyqnvMagVoIKG3bqGoxULCOIrNgCacyAk0QUNq2UTWhY11RRea6rF5tBNojoLRto2rPzdkdKDLPTuQFRqAzBJS2bVSdETWnHUXmnLWOMQI9I6C0baPqmTXRmyJThHvYCAyDgNK2jWoYCt8aVWS+RfjKCIyJgNK2jWpAPhWZA27FLRuBCQJK2zaqCUxj3Cgyx+jeXRoBjYDSto1KY9btjCKz24bdmBGYiYDSto1qJoA9hSkye+rRvRiBJQgobduolqDZeI0is3FbLm8EViOgtG2jWg1t/QSKzPqduKIRKIuA0raNqizOVbIpMqsUdxEjsCECSturjerp6Wl3cXGxe3x8fNc+xm5ubnavr6/v5koPvLy87K6vr/cfXKcH+7y7u0unFt0j3+Xl5e75+XnR+jWLFJlrcnqtEegBAaXtIkaFL+yXL1/efWlrGhUM4+rqav+BiaQHDAo9ljIq7M1GlaLc7z34wgOVn1QHeJjiocr5Y9xCa5iPOdL1yJPTYb8I9dHZpkaFN5lv3769e3uqbVRfv37d3d/fTwQE+CEsztV6w9uSdkXmljVHzg3+b29vD2/2fPum0dBkeI+9QrvQdfp2jntoCfnSeKzhwTd4mxURmXdW2i7yRgVCf/78uSc2EpMzKpDLp1YUAsajieTEQ4FFQXD7NCPUh5CiwBCP/Ll+KCj2hHvWTp+qyMExxMX+0Qf7Y644z6cw55Br6aHIXJrvM66DFsgPeQOnPMAX3tBxjgd1hPMxDqmhYzExr6//IqC0XcyoQHYkH2VTY0jJjfEQCU0AayEQ/FSLpoOxeB/JpXGkhknBYD7th2toasiPHjCOA/3SPDEW+1NrUSM9EAuDYl72xNxp/Kl7ReapdZ5/QyDVArimcSEqcs9VcU2qZcbwTI5zemCMz+8RUNoualR8MoFEHJFYmED6hGI8vsDxGmsx9vDwsH/Fxto0334g/IN4fvGjiKK5IYZiVEKKa9kTftZiXRRdLhf3Hdo6vJ2lc6kpxjWnrhWZp9Z5/i8Cintwqt54o46QJeokhyviU73n4jw2RUBpu6hRoSTI5ptHNKooAoqBZxoAyI/XWIN7fJS4uE3E0KiwjoaEcZpEHKcJsYd4Zh7uB3NxjOOswVzInx5qjuPo79xDkXluns8aH7VCDKARckytHeP3mFFx/RJu2c9nPSttFzcqAEwSoyCiSSgSEAOx/P79e3/GlxlPJvzhEmP42Yf73BFr0QS+f/++z0MDiT0whnO5nBhDXhuVQme8cfBJA2L30AAfrhyjPhBPDcSHGa/TdTQpPhyZz+d5CFQ1Kr4m47/A8Sk151WY6/BTi0RDMMiR+6+KcesQE9dgHNd49Y5/04o9UFBYpw7G0+BiLMfQH3PF+syp5pAbIj9llMwTz4rMGOPr9wiAv+e1EHIAAAmnSURBVNSkEBW55CrFG+fBdcr3qTVc67NGQGl7kzcqtAFR4I/hNCqMgdicUNg2iMbbEz7xC4x1yBWNgmt4ToWD9XjqRTHReHDGwZhYi/lS0SEmPj1xH/fCXLkeOYczDj6tIzasO+esyJyz9rPGHNMe+YhaAVeR7xS3VG+5HOka359GQGl7M6PiFz39MoJgvjbjHL/s2EbuqXdKNFinhENzQEzuLQbzsR9c//e//90bbNobalC8WJfOMz/zxfm0DnItPRSZS/N99HXQFDmJZ3KJ/dNoOB/ncvhEvVHrXBvPqf5zuTz2hoDS9mqjeivhq1oIKDJr1XcdI7AVAkrbNqqtEN8wryJzw5JObQSqIKC0baOqAn/ZIorMslWczQjUR0Bp20ZVn4vVFRWZqxM7gRFojIDSto2qMTFLyisyl+TyGiPQEwJK2zaqnlia2Ysic+ZyhxmBbhFQ2rZRdUuZbkyRqVd4xgiMgYDSto1qDP4mXSoyJ0G+MQIDIqC0baP6QGQOuBW3bAQmCNioJnCMfaPIHHtX7t4I7HZK236jGlAdiswBt+KWjcAEAaVtG9UEpjFuFJljdO8ujYBGQGnbRqUx63ZGkdltw27MCMxEQGnbRjUTwJ7CFJk99ehejMASBJS2bVRL0Gy8RpHZuC2XNwKrEVDatlGthrZ+AkVm/U5c0QiURUBp20ZVFucq2RSZVYq7iBHYEAGlbRvVhqBvlVqRuVU95zUCtRBQ2rZR1WKgYB1FZsESTmUEmiCgtG2jakLHuqKKzHVZvdoItEdAadtG1Z6bsztQZJ6dyAuMQGcIKG1PjApB/hgDa8AaaKmBnHdOjCoX4LH+EICIfBiBj4iA0raNakC2FZkDbsUtG4EJAkrbNqoJTGPcKDLH6N5dGgGNgNK2jUpj1u2MIrPbht2YEZiJgNK2jWomgD2FKTJ76tG9GIElCCht26iWoNl4jSKzcVsubwRWI6C0baNaDW39BIrM+p24ohEoi4DSto2qLM5VsikyqxR3ESOwIQJK2zaqDUHfKrUic6t6zmsEaiGgtG2jqsVAwTqKzIIlnMoINEFAadtG1YSOdUUVmeuyerURaI+A0raNqj03Z3egyDw7kRcYgc4QUNq2UXVG1Jx2FJlz1jrGCPSMgNK2japn1kRvikwR7mEjMAwCSts2qmEofGtUkfkW4SsjMCYCSts2qgH5VGQOuBW3bAQmCCht26gmMI1xo8gco3t3aQQ0AkrbNiqNWbczisxuG3ZjRmAmAkrbNqqZAPYUpsjsqUf3YgSWIKC0baNagmbjNYrMxm25vBFYjYDSto1qNbT1Eygy63fiikagLAJK2zaqsjhXyabIrFLcRYzAhggobW9qVK+vr7ubm5v9B9c8Xl5edtfX17u7uzsO7c/Pz8+7y8vL3dPT02S81g37TfuqVX9uHUXm3PWOMwK9IqC0valRAQyYDkwJ5sQDhvTly5fd169fJ+O5WK6pcVYGWqP2OTUUmefk+GyxePhcXFwcPrmH0ePj42E+1Szwgj5jjvSBygctY5DPx3kIKG1vblQkL5IKAu/v7/dGhXkeEE9OQJz3+S8Cikzjk0cAGvv27dthkpqMRoLraE7QIX4N8JdAOs8c1DXO+DVAPfOhF2scGvCFREBpe3Oj4s+pSBhE8P37970QSHSMwxieSpzjrrAuFROfXlEkiIdQ8MYGgWIOcYyhyDAW88UeYg70gTjWintBXMyHGJgw4tP+uY+1Z0Xm2ryfZT155kORphL5IqcY43zKO83sz58/ey0zH3FEfNQXx33WCChtb25UaAkEkkSQjicVziCS5EMYV1dX+y99KiTkoFggHM7HJx7GYRIUG+OjUNADatze3u5zMA974z17Yg4aHPpA/nhPQXMNc8ReNC3LZhSZy7J9vlXgKnKYcgpEyCNiqQNqi4hhDvr6559/9pqmBjify8s5n/MIKG1XMSoQRlPBF5tGEcfjNbaQkox7mk46xy3DcFiH4orioalgPY+YN4oT87kcaUysyZy5OpwrcVZklsj9UXOQSzxAqBHuNWqAY+SZDzGcqT/EMB/HoLNoflwfx5jbZ42A0nYVo8IXl29LIJTmgXH+QR1jFEUUAmMxx3mMpWLDGoxTOBRSNKXYB6GKIqW4WDOXgzHohdeMZ04bFZHo8wzOYVjkLeqGHZNbao73WIcPdIaf+FGHiOU8DOrh4eGgR+b1+TgCTY2KJEMgIJPmgXG8Xf348WNPOMe5FQgIQvj9+/fkD+8cx/p4RMHlTMZGFdH63NdRK9Bd+uZDzSIud1BfNLI0huujkaUxvn+PQFOjQjsgFE8YnEEyD9zzyRTHMU9jwbpIeE5YrME4CimaH/PhzAPzfAujuCjOXA7GUKA4syZzIj+EH2tzrsRZkVki92fJEY0qx/MpDrE+NbeIHbjH29VWGoi1PtK10naVn34AEoTFP2QTXBCeG+c8jACE0zwwTrOIBoH5KAwlPv4EZX70tcaoKEj2x95iL6xV6qzILJX/o+XBGzk+PGhC5Azj0Bl1wPuoL67l3DF+qcWYP673tUZAabuaUeXEgXbVOLcSjYRjOEdDgGjSp1sto0IvNCv2gf9JRGqIsfe114rMtXk/6noaB/jhJ2cifCgiJjUp6jQ3B9yoN8xHw/uomG61L6Xtaka1ZGM0o5yoluSrtQai5n8k2KKmInOLWs5pBGoioLTdrVHRpHp/OqFPPE15sG88nbc6FJlb1XNeI1ALAaXtLo2Kr9G9mxTIiz8J+LNiS5NCTUVmLTG5jhHYCgGl7S6NaisQPkpeReZH2Z/38XkRUNq2UQ2oCUXmgFtxy0ZggoDSto1qAtMYN4rMMbp3l0ZAI6C0baPSmHU7o8jstmE3ZgRmIqC0baOaCWBPYYrMnnp0L0ZgCQJK2zaqJWg2XqPIbNyWyxuB1QgobduoVkNbP4Eis34nrmgEyiKgtG2jKotzlWyKzCrFXcQIbIiA0raNakPQt0qtyNyqnvMagVoIKG3bqGoxULCOIrNgCacyAk0QUNq2UTWhY11RRea6rF5tBNojoLRto2rPzdkdKDLPTuQFRqAzBJS2bVSdETWnHUXmnLWOMQI9I6C0baPqmTXRmyJThHvYCAyDgNK2jWoYCt8aVWS+RfjKCIyJgNK2jWpAPhWZA27FLRuBCQJK2zaqCUxj3Cgyx+jeXRoBjYDSto1KY9btjCKz24bdmBGYiYDS9sSoEOSPMbAGrIGWGsh52sGocpMeMwJGwAj0gICNqgcW3IMRMAJHEbBRHYXHk0bACPSAgI2qBxbcgxEwAkcR+P/fyci704I7rwAAAABJRU5ErkJggg==[/img][br][br]Put the states in order by their lowest elevation, from least to greatest.
Each lap around the track is 400 meters.
How many meters does someone run if they run 2 laps?
How many meters does someone run if they run 5 laps?
How many meters does someone run if they run [math]x[/math] laps?
If Noah ran 14 laps, how many meters did he run?
If Noah ran 7,600 meters, how many laps did he run?
A stadium can seat 16,000 people at full capacity.
If there are 13,920 people in the stadium, what percentage of the capacity is filled? Explain or show your reasoning.
What percentage of the capacity is not filled?