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For each prefix listed on the left click the button that corresponds to the correct abbreviation listed above.

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For each prefix listed on the left click the button that corresponds to how many of the base unit it represents.

", "unitTests": [], "minMarks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "maxAnswers": 0, "variableReplacements": [], "answers": ["$10^{-12}$", "$10^{-9}$", "$10^{-6}$", "$10^{-3}$", "$10^{-2}$", "$10^{-1}$", "$10^{3}$", "$10^{6}$", "$10^{9}$", "$10^{12}$"], "scripts": {}, "choices": ["nano", "micro", "milli", "centi", "deci", "kilo", "mega", "giga", "tera", "pico"], "displayType": "radiogroup", "extendBaseMarkingAlgorithm": true}], "rulesets": {}, "ungrouped_variables": [], "statement": "", "variablesTest": {"maxRuns": 100, "condition": ""}, "advice": "\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Metric prefixes in everyday use
TextSymbolMultiple of the base unitMultiple of the base unit (as a power)
teraT10000000000001012
gigaG1000000000109
megaM1000000106
kilok1000103
hectoh100102
decid0.110−1
centic0.0110−2
millim0.00110−3
micromc or $\\mu$0.00000110−6
nanon0.00000000110−9
picop0.00000000000110−12
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Practice of conversion between SI units of mass, volume & length.

There is no advice for this question.

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{ch1}   {Tos[choice]}

", "

{ch2}   {Tos[choice]}

", "

{ch3}   {Tos[choice]}

", "

{ch4}   {Tos[choice]}

", "

{ch5}   {Tos[choice]}

"], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "prompt": "

What's $\\var{numFroms}$  $\\var{Froms[choice]}$ in $\\var{Tos[choice]}$ ?

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{ch1b}   {Tos[choiceb]}

", "

{ch2b}   {Tos[choiceb]}

", "

{ch3b}   {Tos[choiceb]}

", "

{ch4b}   {Tos[choiceb]}

", "

{ch5b}   {Tos[choiceb]}

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What's $\\var{numFromsb}$  $\\var{Froms[choiceb]}$ in $\\var{Tos[choiceb]}$ ?

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{ch1c}   {Tos[choicec]}

", "

{ch2c}   {Tos[choicec]}

", "

{ch3c}   {Tos[choicec]}

", "

{ch4c}   {Tos[choicec]}

", "

{ch5c}   {Tos[choicec]}

"], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "prompt": "

What's $\\var{numFromsc}$  $\\var{Froms[choicec]}$ in $\\var{Tos[choicec]}$ ?

What's $\\var{numFroms}$  $\\var{Froms[choiced]}$ in $\\var{Tos[choiced]}$?

\n

Answer: $\\var{numFroms}$  $\\var{Froms[choiced]}$ = [[0]] $\\var{Tos[choiced]}$

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What's $\\var{numFromsb}$  $\\var{Froms[choicee]}$ in $\\var{Tos[choicee]}$?

\n

Answer: $\\var{numFromsb}$ $\\var{Froms[choicee]}$ = [[0]] $\\var{Tos[choicee]}$

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What's $\\var{numFromsc}$  $\\var{Froms[choicef]}$ in $\\var{Tos[choicef]}$?

\n

Answer: $\\var{numFromsc}$ $\\var{Froms[choicef]}$ = [[0]] $\\var{Tos[choicef]}$

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"templateType": "anything", "definition": "random(0..11 except [ci1b, ci2b])"}, "ans1": {"group": "Ungrouped variables", "description": "", "name": "ans1", "templateType": "anything", "definition": "numFroms*confactors[Factors[choiced]]"}, "choicee": {"group": "Ungrouped variables", "description": "", "name": "choicee", "templateType": "anything", "definition": "random(8..13 except[choice,choiceb,choicec, choiced])"}, "ci5b": {"group": "Ungrouped variables", "description": "", "name": "ci5b", "templateType": "anything", "definition": "random(0..11 except [ci1b, ci2b, ci3b, ci4b])"}, "ci4": {"group": "Ungrouped variables", "description": "", "name": "ci4", "templateType": "anything", "definition": "random(0..11 except [ci1, ci2, ci3])"}, "ch4": {"group": "Ungrouped variables", "description": "", "name": "ch4", "templateType": "anything", "definition": "precround(numFroms*conFactors[ci4],8)"}, "ci3": {"group": "Ungrouped variables", "description": "", "name": "ci3", "templateType": "anything", "definition": "random(0..11 except [ci1, ci2])"}, "choicef": {"group": "Ungrouped variables", "description": "", "name": "choicef", "templateType": "anything", "definition": "random(14..27 except[choice,choiceb,choicec, choiced, choicee])"}, "ci5": {"group": "Ungrouped variables", "description": "", "name": "ci5", "templateType": "anything", "definition": "random(0..11 except [ci1, ci2, ci3, ci4])"}, "ci4b": {"group": "Ungrouped variables", "description": "", "name": "ci4b", "templateType": "anything", "definition": "random(0..11 except [ci1b, ci2b, ci3b])"}, "conFactors": {"group": "Ungrouped variables", "description": "", "name": "conFactors", "templateType": "list of numbers", "definition": "[ 1000000, 100000, 10000, 1000, 100, 10, 0.1, 0.01, 0.001, 0.0001, 0.00001, 0.000001 ]"}, "ch5": {"group": "Ungrouped variables", "description": "", "name": "ch5", "templateType": "anything", "definition": "precround(numFroms*conFactors[ci5],8)"}, "choiceb": {"group": "Ungrouped variables", "description": "", "name": "choiceb", "templateType": "anything", "definition": "random(0..27 except choice)"}, "ch1": {"group": "Ungrouped variables", "description": "", "name": "ch1", "templateType": "anything", "definition": "precround(numFroms*conFactors[ci1],8)"}, "ch5b": {"group": "Ungrouped variables", "description": "", "name": "ch5b", "templateType": "anything", "definition": "precround(numFromsb*conFactors[ci5b],8)"}, "ch1b": {"group": "Ungrouped variables", "description": "", "name": "ch1b", "templateType": "anything", "definition": "precround(numFromsb*conFactors[ci1b],8)"}, "ans3": {"group": "Ungrouped variables", "description": "", "name": "ans3", "templateType": "anything", "definition": "numFromsc*confactors[Factors[choicef]]"}, "ch4c": {"group": "Ungrouped variables", "description": "", "name": "ch4c", "templateType": "anything", "definition": "precround(numFromsc*conFactors[ci4c],8)"}, "ci2c": {"group": "Ungrouped variables", "description": "", "name": "ci2c", "templateType": "anything", "definition": "random(0..11 except ci1c)"}, "Factors": {"group": "Ungrouped variables", "description": "", "name": "Factors", "templateType": "list of numbers", "definition": "[ 3, 0, 8, 11, 3, 0, 8, 11, 4, 3, 7, 8, 5, 6, 3, 1, 8, 10, 4, 3, 7, 8, 5, 2, 6, 9, 3, 8 ]"}, "choicec": {"group": "Ungrouped variables", "description": "", "name": "choicec", "templateType": "anything", "definition": "random(0..27 except [choice, choiceb])"}, "choice": {"group": "Ungrouped variables", "description": "", "name": "choice", "templateType": "anything", "definition": "random(0..27)"}, "from1": {"group": "Ungrouped variables", "description": "", "name": "from1", "templateType": "anything", "definition": "Froms[choiced]"}, "ci2": {"group": "Ungrouped variables", "description": "", "name": "ci2", "templateType": "anything", "definition": "random(0..11 except ci1)"}, "numFroms": {"group": "Ungrouped variables", "description": "", "name": "numFroms", "templateType": "anything", "definition": "random(0..9)+random(1..9)/10"}, "ci1c": {"group": "Ungrouped variables", "description": "", "name": "ci1c", "templateType": "anything", "definition": "Factors[choicec]"}, "ch4b": {"group": "Ungrouped variables", "description": "", "name": "ch4b", "templateType": "anything", "definition": "precround(numFromsb*conFactors[ci4b],8)"}, "numFromsb": {"group": "Ungrouped variables", "description": "", "name": "numFromsb", "templateType": "anything", "definition": "random(0..9)+random(1..9)/10 + random(0..9)/100"}, "choiced": {"group": "Ungrouped variables", "description": "", "name": "choiced", "templateType": "anything", "definition": "random(0..7 except[choice,choiceb,choicec])"}, "ci1b": {"group": "Ungrouped variables", "description": "", "name": "ci1b", "templateType": "anything", "definition": "Factors[choiceb]"}, "Froms": {"group": "Ungrouped variables", "description": "", "name": "Froms", "templateType": "list of strings", "definition": "[ \"kilograms\", \"kilograms\", \"grams\", \"milligrams\", \"grams\", \"grams\", \"milligrams\", \"micrograms\", \"litres\", \"litres\", \"centilitres\", \"millilitres\", \"centilitres\", \"millilitres\", \"kilometres\", \"kilometres\", \"metres\", \"centimetres\", \"metres\", \"metres\", \"centimetres\", \"millimetres\", \"centimetres\", \"centimetres\", \"millimetres\", \"micrometres\", \"millimetres\", \"micrometres\" ]"}, "ch2": {"group": "Ungrouped variables", "description": "", "name": "ch2", "templateType": "anything", "definition": "precround(numFroms*conFactors[ci2],8)"}, "numFromsc": {"group": "Ungrouped variables", "description": "", "name": "numFromsc", "templateType": "anything", "definition": "random(0,1,2, 4, 5, 8)+random(1,2,4,5,8)/10 + random(0,1,2,4,5,8,9)/100"}, "Tos": {"group": "Ungrouped variables", "description": "", "name": "Tos", "templateType": "list of strings", "definition": "[ \"grams\", \"milligrams\", \"kilograms\", \"kilograms\", \"milligrams\", \"micrograms\", \"grams\", \"grams\", \"centilitres\", \"millilitres\", \"litres\", \"litres\", \"millilitres\", \"centilitres\", \"metres\", \"centimetres\", \"kilometres\", \"kilometres\", \"centimetres\", \"millimetres\", \"metres\", \"metres\", \"millimetres\", \"micrometres\", \"centimetres\", \"centimetres\", \"micrometres\", \"millimetres\" ]"}, "ci1": {"group": "Ungrouped variables", "description": "", "name": "ci1", "templateType": "anything", "definition": "Factors[choice]"}, "ci4c": {"group": "Ungrouped variables", "description": "", "name": "ci4c", "templateType": "anything", "definition": "random(0..11 except [ci1c, ci2c, ci3c])"}, "ch3": {"group": "Ungrouped variables", "description": "", "name": "ch3", "templateType": "anything", "definition": "precround(numFroms*conFactors[ci3],8)"}, "ci2b": {"group": "Ungrouped variables", "description": "", "name": "ci2b", "templateType": "anything", "definition": "random(0..11 except ci1b)"}, "ch3b": {"group": "Ungrouped variables", "description": "", "name": "ch3b", "templateType": "anything", "definition": "precround(numFromsb*conFactors[ci3b],8)"}, "ch2b": {"group": "Ungrouped variables", "description": "", "name": "ch2b", "templateType": "anything", "definition": "precround(numFromsb*conFactors[ci2b],8)"}, "ch1c": {"group": "Ungrouped variables", "description": "", "name": "ch1c", "templateType": "anything", "definition": "precround(numFromsc*conFactors[ci1c],8)"}, "ans2": {"group": "Ungrouped variables", "description": "", "name": "ans2", "templateType": "anything", "definition": "numFromsb*confactors[Factors[choicee]]"}, "ci5c": {"group": "Ungrouped variables", "description": "", "name": "ci5c", "templateType": "anything", "definition": "random(0..11 except [ci1c, ci2c, ci3c, ci4c])"}, "ch2c": {"group": "Ungrouped variables", "description": "", "name": "ch2c", "templateType": "anything", "definition": "precround(numFromsc*conFactors[ci2c],8)"}, "ch3c": {"group": "Ungrouped variables", "description": "", "name": "ch3c", "templateType": "anything", "definition": "precround(numFromsc*conFactors[ci3c],8)\n"}}, "statement": "

Practice of conversion between SI units of mass, volume & length.

", "preamble": {"css": "", "js": ""}, "rulesets": {}, "type": "question"}, {"name": "Decimal Places and Significant Figures", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {"rand": {"definition": "random(1..4)", "type": "number", "language": "jme", "parameters": []}}, "ungrouped_variables": ["numa1", "numa2", "numb1", "numb2", "ans1", "ans2", "numc1", "numc2", "ans3", "numd1", "numd2", "ans4", "d3", "d1", "d2", "e3", "e1", "e2", "f3", "f1", "f2", "g3", "g1", "g2", "h3", "h1", "h2", "sig", "dec", "rand1", "rand2", "rand3", "rand4", "rand5"], "tags": ["decimal", "REBEL", "rebel", "Rebel", "rebelmaths", "significant"], "preamble": {"css": "", "js": ""}, "advice": "

When rounding to a given number of decimal places

\n

When rounding to a given number of decimal places, do the following

\n

Look at the next number after the last number of the decimal places you need to round to

\n

If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.

\n

round to 3 decimal places the following

\n

$0.0055 = 0.006$

\n

$0.0071 = 0.007$

\n

\n

When rounding to a given number of significant figures

\n

When rounding to a given number of significant figures, do the following

\n

Look at the next number after the last number of the significant figuresyou need to round to

\n

If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.

\n

N.B. Remember to keep the number you rounded to the significant number of places in the same unit e.g. 10's, 100's etc

\n

round to 3 significant figures the following

\n

$2573 = 2570$

\n

$7828 = 7830$

\n

round to 1 significant figures the following

\n

$15 = 20$

\n

$38851 = 40000$

", "rulesets": {}, "parts": [{"prompt": "

Round off $\\var{sig}$ to:

\n

i)      2 decimal places   [[0]]

\n

ii)     1 decimal place   [[1]]

\n

iii)    3 significant figures      [[2]]

\n

iv)    2 significant figures      [[3]]

\n

v)     1 significant figure      [[4]]

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Round off $\\var{dec}$ to:

\n

i)      4 decimal places   [[0]]

\n

ii)     5 decimal places   [[1]]

\n

iii)    3 significant figures     [[2]]

\n

iv)    2 significant figures      [[3]]

\n

v)     1 significant figure      [[4]]

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Evaluate each of the following without using a calculator:

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Decimal Places and Significant Figures

\n

rebelmaths

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Units, conversions, decimal places and significant figures

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