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Convert the following.

", "variables": {"ans21": {"name": "ans21", "definition": "num1[0]*10000", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans3": {"name": "ans3", "definition": "num[2]*1000", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans5": {"name": "ans5", "definition": "num[4]*1000000", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans2": {"name": "ans2", "definition": "num[1]*1000000", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "num1": {"name": "num1", "definition": "shuffle(2..26#0.25)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans25": {"name": "ans25", "definition": "num1[4]*1000000", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans23": {"name": "ans23", "definition": "num1[2]*1000000000", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans1": {"name": "ans1", "definition": "num[0]*10000", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans22": {"name": "ans22", "definition": "num1[1]*1000000", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans4": {"name": "ans4", "definition": " num[3]*100", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "num": {"name": "num", "definition": "shuffle(2..60)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans24": {"name": "ans24", "definition": "num1[3]*100", "templateType": "anything", "group": "Ungrouped variables", "description": ""}}, "metadata": {"description": "

Convert from one measurement scale to another

\n

rebelmaths

", "licence": "Creative Commons Attribution 4.0 International"}, "advice": "

1m = 100cm and 1cm = 10mm, so 1m = 1000mm. To convert from a larger unit to a smaller unit we multiply. Therefore:

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To convert from m$^2$ to cm$^2$ we multiply by $100^2$

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To convert from m$^2$ to mm$^2$ we multiply by $1000^2$

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To convert from cm$^2$ to mm$^2$ we multiply by $10^2$

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To convert from m$^3$ to cm$^3$ we multiply by $100^3$

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To convert from m$^3$ to mm$^3$ we multiply by $1000^3$

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To convert from cm$^3$ to mm$^3$ we multiply by $10^3$

\n

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Part 1

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i) $\\var{num[0]} \\times 100^2 = \\var{ans1}$

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ii) $\\var{num[1]} \\times 1000^2 = \\var{ans2}$

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iii) $\\var{num[2]} \\times 10^3 = \\var{ans3}$

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iv) $\\var{num[3]} \\times 10^2 = \\var{ans4}$

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v) $\\var{num[4]} \\times 100^3= \\var{ans5}$

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Part 2

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i) $\\var{num1[0]} \\times 100^2 = \\var{ans21}$

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ii) $\\var{num1[1]} \\times 1000^2 = \\var{ans22}$

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iii) $\\var{num1[2]} \\times 1000^3 = \\var{ans23}$

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iv) $\\var{num1[3]} \\times 10^2 = \\var{ans24}$

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v) $\\var{num1[4]} \\times 100^3 = \\var{ans25}$

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\n

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i) $\\var{num[0]}$ square metres ($m^2$) to square centimetres ($cm^2$). 

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[[0]]$cm^2$

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ii) $\\var{num[1]}m^2$ to square millimetres($mm^2$). 

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[[1]]$mm^2$

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iii) $\\var{num[2]}cm^3$ to $mm^3$. 

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[[2]]$mm^3$

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iv) $\\var{num[3]}cm^2$ to $mm^2$. 

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[[3]]$mm^2$

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v) $\\var{num[4]}$ cubic metres ($m^3$) to cubic centimetres ($cm^3$). 

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[[4]]$cm^3$

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i) $\\var{num1[0]}$ square metres ($m^2$) to square centimetres ($cm^2$). 

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[[0]]$cm^2$

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ii) $\\var{num1[1]}m^2$ to square millimetres($mm^2$). 

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[[1]]$mm^2$

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iii) $\\var{num1[2]}m^3$ to $mm^3$. 

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[[2]]$mm^3$

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iv) $\\var{num1[3]}cm^2$ to $mm^2$. 

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[[3]]$mm^2$

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v) $\\var{num1[4]}$ cubic metres ($m^3$) to cubic centimetres ($cm^3$). 

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[[4]]$cm^3$

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