Bài 3 Tính ( tính nhanh …) a, $4.5^{2}$ – 81 . $3^{2}$ b,31.65+31.35-5000 c,$2^{2}$ .25.17+5.20.27+ $10^{2}$ . $5^{6}$ d,120 : {300:[150-($2.5^{

Bài 3 Tính ( tính nhanh …)
a, $4.5^{2}$ – 81 . $3^{2}$
b,31.65+31.35-5000
c,$2^{2}$ .25.17+5.20.27+ $10^{2}$ . $5^{6}$
d,120 : {300:[150-($2.5^{3}$ – $2^{3}$ .25 )]}

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  1. Đáp án:

    $\begin{array}{l}
    a){4.5^2} – {81.3^2}\\
     = 4.25 – 81.9\\
     = 100 – 169\\
     =  – 69\\
    b)31.65 + 31.35 – 5000\\
     = 31.\left( {65 + 35} \right) – 5000\\
     = 31.100 – 5000\\
     = 3100 – 5000\\
     =  – 1900\\
    c){2^2}.25.17 + 5.20.27 + {10^2}{.5^6}\\
     = 4.25.17 + 100.27 + 100.125.125\\
     = 100.\left( {17 + 27 + 125.125} \right)\\
     = 100.15669\\
     = 1566900\\
    d)120:\left\{ {300:\left[ {150 – \left( {{{2.5}^3} – {2^3}.25} \right)} \right]} \right\}\\
     = 120:\left\{ {300:\left[ {150 – \left( {2.5.25 – 8.25} \right)} \right]} \right\}\\
     = 120:\left\{ {300:\left[ {150 – 25.\left( {10 – 8} \right)} \right]} \right\}\\
     = 120:\left[ {300:\left( {150 – 25.2} \right)} \right]\\
     = 120:\left[ {300:100} \right]\\
     = 120:3\\
     = 40
    \end{array}$

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  2. a, 4.5^2 -81.3^2

    =4.25-81.9

    =100-729

    =-629

    b,31.65+31.35-5000

    =31.(65+35)-5000

    =31.100-5000

    =3100-5000

    =-1900

    c,2^2.25.17+5.20.27+10^2.5^6

    =4.25.17+5.20.27+100.15625

    =100.17+100.27+100.15625

    =100.(17+27+15625)

    =100.15669

    =1566900

    d,120:{300:[150-(2.5^3-2^3.25)]}

    =120:{300:[150-(2.125-8.25)

    =120:{300:[150-(250-200)

    =120:{300:[150-50]

    =120:{300:100}

    =120:3

    =40

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