Key Stage 3
Maths
Standard form

Starter quiz

  • These are all examples of numbers written in standard ______: 3.1×102{3.1}\times10^{2}, 7.98×10−2{7.98}\times10^{-2} and 2.39×106{2.39}\times10^{6}
    • 'form' ✓
  • Which of the following inequalities is incorrect?
    • 6.54×104<2.4×106{6.54}\times10^{4}<{2.4}\times10^{6}
    • 3.42×104<3.4×104{3.42}\times10^{4}<{3.4}\times10^{4}  ✓
    • 1.92×102<1.98×102{1.92}\times10^{2}<{1.98}\times10^{2}
    • 2.08×103<3.4×104{2.08}\times10^{3}<{3.4}\times10^{4}
    • 2.607×105<1.04×108{2.607}\times10^{5}<{1.04}\times10^{8}
  • Starting with the smallest, put these numbers written in standard form in order of size.
    • 1
      ⇔
      9.4×102{9.4}\times10^{2}
    • 2
      ⇔
      5.3×103{5.3}\times10^{3}
    • 3
      ⇔
      7×103{7}\times10^{3}
    • 4
      ⇔
      2.07×104{2.07}\times10^{4}
    • 5
      ⇔
      1.87×105{1.87}\times10^{5}
  • Which of the following inequalities is incorrect?
    • 6.54×10−4<2.4×10−2{6.54}\times10^{-4}<{2.4}\times10^{-2}
    • 3.56×10−3<5.07×10−2{3.56}\times10^{-3}<{5.07}\times10^{-2}
    • 7.56×10−2<4.2×10−1{7.56}\times10^{-2}<{4.2}\times10^{-1}
    • 2.72×10−4<2.8×10−6{2.72}\times10^{-4}<{2.8}\times10^{-6}  ✓
    • 1.23×10−4<1.023×10−2{1.23}\times10^{-4}<{1.023}\times10^{-2}
  • Starting with the smallest, put these numbers written in standard form in order of size.
    • 1
      ⇔
      9.4×10−5{9.4}\times10^{-5}
    • 2
      ⇔
      1.8×10−4{1.8}\times10^{-4}
    • 3
      ⇔
      9×10−4{9}\times10^{-4}
    • 4
      ⇔
      3.01×10−3{3.01}\times10^{-3}
    • 5
      ⇔
      2.3×10−2{2.3}\times10^{-2}
  • Starting with the smallest, put these numbers in order of size.
    • 1
      ⇔
      32×0.001{32}\times{0.001}
    • 2
      ⇔
      3.2×10−1{3.2}\times{10}^{-1}
    • 3
      ⇔
      32÷10{32}\div{10}
    • 4
      ⇔
      3.2×103{3.2}\times{10}^{3}
    • 5
      ⇔
      320×110−2{320}\times{{1}\over{10}^{-2}}
+