NES ELEMENTARY EDUCATION SUBTEST 2
QUESTIONS WITH CORRECT ANSWERS 2025
NaturalMNumbersM-MCORRECTMANSWERM-NM=M{1,M2,M3,M4,M5,M6,M.M.M.M}
WholeMnaturalMnumbersMtogetherMwithMzero.M-MCORRECTMANSWERM-WM=M{0,M1,M2,M3,M4,M5,M6,M.M.M.M}
EveryMwholeMnumberMhasMaMuniqueMoppositeMorMnegativeMwhoseMsumMwithMitMisM0.MForMexample,M-
MCORRECTMANSWERM-2M+M(-2)M=M0
TheMsetMofMintegersMconsistsMofMtheMwholeMnumbersMandMtheirMopposites.M-MCORRECTMANSWERM-
ZM=M{.M.M.,M-3,M-2,M-1,M0,M1,M2,M3,M.M.M.M}
EveryMnonzeroMintegerMhasMaMuniqueMreciprocalMwhoseMproductMwithMitMisMone.MForMexample,M-
MCORRECTMANSWERM-2M×M1/2M=M1
TheMratioMorMfractionMofMoneMintegerMtoMaMnonzeroMintegerMisMtheMproductMofMtheMfirstMintegerMwithMth
eMreciprocalMofMtheMsecond.MForMexample,MtheMratioMofM2MtoM3MisM-MCORRECTMANSWERM-2/3M=M2M×M1/3
notMeveryMrationalMnumberMisManMinteger.MForMexample,M1/2MisMaMrationalMnumberMthatMisMnotManMinteg
er.M-MCORRECTMANSWERM-1/2M=M0.5
ThereMareMthreeMbasicMpropertiesMofMaddition:M-MCORRECTMANSWERM-
commutativity,MassociativityMandMidentity.
CommutativeMproperty.M-MCORRECTMANSWERM-
WhenMaddingMtwoMnumbers,MtheMsumMisMtheMsameMregardlessMofMtheMorderMinMwhichMtheMnumbersMare
Madded.
2M+M3M=M3M+M2
,AssociativeMproperty.M-MCORRECTMANSWERM-
WhenMaddingMthreeMorMmoreMnumbers,MtheMsumMisMtheMsameMregardlessMofMtheMwayMinMwhichMtheMnu
mbersMareMgrouped.
2M+M(3M+M5)M=M(2M+M3)M+M5
IdentityMproperty.M-MCORRECTMANSWERM-AddingMzeroMtoMaMnumberMdoesMnotMchangeMit.
2M+M0M=M2
ThereMareMthreeMbasicMpropertiesMofMmultiplication:M-MCORRECTMANSWERM-
commutativity,MassociativityMandMidentity.
DistributiveMproperty.M-MCORRECTMANSWERM-
TheMproductMofMaMnumberMwithMaMsumMequalsMtheMsumMofMtheMproductsMofMtheMnumberMwithMeachMter
mMofMtheMsum.
2M×M(3M+M5)M=M(2M×M3)M+M(2M×M5)
ExponentiationM-MCORRECTMANSWERM-
ExponentiationMisMrepeatedMmultiplication.MAnMexponentMisMoftenMcalledMaMpower.MForMexample,MtheMthi
rdMpowerMofM2Mis
2³M=M2M×M2M×M2M=M8
WeMdefineMtheMzeroMpowerMofManyMnonzeroMnumberMtoMbeM1.MForMexample,M-MCORRECTMANSWERM-(-
3)0M=M1
AMnegativeMexponentMindicatesMaMreciprocal.MForMexample,M-MCORRECTMANSWERM-2M(-
3rdMpower)M=1M/M2M(3rdMpower)M=M1M/M8
TheMfirstMpowerMofManyMnumberMisMitself.MForMexample,M-MCORRECTMANSWERM-2M(toMtheM1stMpower)M=M2
, ToMmultiplyMlikeMbasesMwithMexponents,MaddMtheMexponents.MForMexample,M-MCORRECTMANSWERM-
2M(toMtheM3rd)MxM2M(toMtheM5th)M=M2M(toMtheMeighth)
ToMexponentiateMaMpower,MmultiplyMtheMexponents.MForMexample,M-MCORRECTMANSWERM-
(2MtoMtheM3rd)MtoMtheM5thM=M2MtoMtheM15th
10MtoMtheM0MpowerM-MCORRECTMANSWERM-1
10MtoMtheM1MpowerM-MCORRECTMANSWERM-10
10MtoMtheM-2MpowerM-MCORRECTMANSWERM-1M/M10MtoMtheM2MpowerMorM1M/M100
10MtoMtheM2MpowerMxM10MtoMtheM3MpowerM-MCORRECTMANSWERM-10MtoMtheM5Mpower
IdentifyingMPlaceMValueMinMNumbers
2045M-MCORRECTMANSWERM-
2045M=M(2MxM10MtoMtheM3Mpower)M+M(0MxM10MtoMtheM2Mpower)M+M(4MxM10MtoMtheM1Mpower)M+M5MxM10MtoMt
heM0Mpower)
DigitsMtoMtheMrightMofMaMdecimalMpointMcorrespondMtoMnegativeMpowersMofMten.MForMexample,
23.405M-MCORRECTMANSWERM-
23.405M=M(2MxM10MtoMtheM1Mpower)M+M(3MxM10MtoMtheM0Mpower)M+M(4MxM10MtoMtheM-
1Mpower)M+M(0MxM10MtoMtheM-2Mpower)M+M(5MxM10MtoMtheM-3Mpower)
ConvertingMaMfractionMtoMaMdecimal.MForMexampleM3/8M-MCORRECTMANSWERM-3MdividedMbyM8M=M0.375
convertM0.45MtoMaMfraction.M-MCORRECTMANSWERM-45/100
convertM3.208MtoMaMmixedMnumber.M-MCORRECTMANSWERM-3M+M208/1000
QUESTIONS WITH CORRECT ANSWERS 2025
NaturalMNumbersM-MCORRECTMANSWERM-NM=M{1,M2,M3,M4,M5,M6,M.M.M.M}
WholeMnaturalMnumbersMtogetherMwithMzero.M-MCORRECTMANSWERM-WM=M{0,M1,M2,M3,M4,M5,M6,M.M.M.M}
EveryMwholeMnumberMhasMaMuniqueMoppositeMorMnegativeMwhoseMsumMwithMitMisM0.MForMexample,M-
MCORRECTMANSWERM-2M+M(-2)M=M0
TheMsetMofMintegersMconsistsMofMtheMwholeMnumbersMandMtheirMopposites.M-MCORRECTMANSWERM-
ZM=M{.M.M.,M-3,M-2,M-1,M0,M1,M2,M3,M.M.M.M}
EveryMnonzeroMintegerMhasMaMuniqueMreciprocalMwhoseMproductMwithMitMisMone.MForMexample,M-
MCORRECTMANSWERM-2M×M1/2M=M1
TheMratioMorMfractionMofMoneMintegerMtoMaMnonzeroMintegerMisMtheMproductMofMtheMfirstMintegerMwithMth
eMreciprocalMofMtheMsecond.MForMexample,MtheMratioMofM2MtoM3MisM-MCORRECTMANSWERM-2/3M=M2M×M1/3
notMeveryMrationalMnumberMisManMinteger.MForMexample,M1/2MisMaMrationalMnumberMthatMisMnotManMinteg
er.M-MCORRECTMANSWERM-1/2M=M0.5
ThereMareMthreeMbasicMpropertiesMofMaddition:M-MCORRECTMANSWERM-
commutativity,MassociativityMandMidentity.
CommutativeMproperty.M-MCORRECTMANSWERM-
WhenMaddingMtwoMnumbers,MtheMsumMisMtheMsameMregardlessMofMtheMorderMinMwhichMtheMnumbersMare
Madded.
2M+M3M=M3M+M2
,AssociativeMproperty.M-MCORRECTMANSWERM-
WhenMaddingMthreeMorMmoreMnumbers,MtheMsumMisMtheMsameMregardlessMofMtheMwayMinMwhichMtheMnu
mbersMareMgrouped.
2M+M(3M+M5)M=M(2M+M3)M+M5
IdentityMproperty.M-MCORRECTMANSWERM-AddingMzeroMtoMaMnumberMdoesMnotMchangeMit.
2M+M0M=M2
ThereMareMthreeMbasicMpropertiesMofMmultiplication:M-MCORRECTMANSWERM-
commutativity,MassociativityMandMidentity.
DistributiveMproperty.M-MCORRECTMANSWERM-
TheMproductMofMaMnumberMwithMaMsumMequalsMtheMsumMofMtheMproductsMofMtheMnumberMwithMeachMter
mMofMtheMsum.
2M×M(3M+M5)M=M(2M×M3)M+M(2M×M5)
ExponentiationM-MCORRECTMANSWERM-
ExponentiationMisMrepeatedMmultiplication.MAnMexponentMisMoftenMcalledMaMpower.MForMexample,MtheMthi
rdMpowerMofM2Mis
2³M=M2M×M2M×M2M=M8
WeMdefineMtheMzeroMpowerMofManyMnonzeroMnumberMtoMbeM1.MForMexample,M-MCORRECTMANSWERM-(-
3)0M=M1
AMnegativeMexponentMindicatesMaMreciprocal.MForMexample,M-MCORRECTMANSWERM-2M(-
3rdMpower)M=1M/M2M(3rdMpower)M=M1M/M8
TheMfirstMpowerMofManyMnumberMisMitself.MForMexample,M-MCORRECTMANSWERM-2M(toMtheM1stMpower)M=M2
, ToMmultiplyMlikeMbasesMwithMexponents,MaddMtheMexponents.MForMexample,M-MCORRECTMANSWERM-
2M(toMtheM3rd)MxM2M(toMtheM5th)M=M2M(toMtheMeighth)
ToMexponentiateMaMpower,MmultiplyMtheMexponents.MForMexample,M-MCORRECTMANSWERM-
(2MtoMtheM3rd)MtoMtheM5thM=M2MtoMtheM15th
10MtoMtheM0MpowerM-MCORRECTMANSWERM-1
10MtoMtheM1MpowerM-MCORRECTMANSWERM-10
10MtoMtheM-2MpowerM-MCORRECTMANSWERM-1M/M10MtoMtheM2MpowerMorM1M/M100
10MtoMtheM2MpowerMxM10MtoMtheM3MpowerM-MCORRECTMANSWERM-10MtoMtheM5Mpower
IdentifyingMPlaceMValueMinMNumbers
2045M-MCORRECTMANSWERM-
2045M=M(2MxM10MtoMtheM3Mpower)M+M(0MxM10MtoMtheM2Mpower)M+M(4MxM10MtoMtheM1Mpower)M+M5MxM10MtoMt
heM0Mpower)
DigitsMtoMtheMrightMofMaMdecimalMpointMcorrespondMtoMnegativeMpowersMofMten.MForMexample,
23.405M-MCORRECTMANSWERM-
23.405M=M(2MxM10MtoMtheM1Mpower)M+M(3MxM10MtoMtheM0Mpower)M+M(4MxM10MtoMtheM-
1Mpower)M+M(0MxM10MtoMtheM-2Mpower)M+M(5MxM10MtoMtheM-3Mpower)
ConvertingMaMfractionMtoMaMdecimal.MForMexampleM3/8M-MCORRECTMANSWERM-3MdividedMbyM8M=M0.375
convertM0.45MtoMaMfraction.M-MCORRECTMANSWERM-45/100
convertM3.208MtoMaMmixedMnumber.M-MCORRECTMANSWERM-3M+M208/1000