20.5-2.85

asked by guest
on Mar 22, 2025 at 1:20 pm



You asked:

Evaluate the expression: 20.52.8520.5 - 2.85

MathBot Answer:

20.52.85=17.65=35320 20.5 - 2.85=17.65=\frac{353}{20}


2109.514010002.8517.65 \begin{aligned} \overset{\mathtt{{\scriptscriptstyle 1}}}{\cancel{\mathtt{2}}}\overset{\mathtt{{\scriptscriptstyle 9}}}{\cancel{\mathtt{0}}}&\mathtt{.}\overset{{\scriptscriptstyle \mathtt{14}}}{\cancel{\mathtt{5}}}\overset{{\scriptscriptstyle \mathtt{10}}}{\cancel{\mathtt{0}}}\\ \mathtt{-\phantom{0}}\phantom{0}\mathtt{2}&\mathtt{.}\mathtt{8}\mathtt{5}\\ \hline \mathtt{1}\mathtt{7}&\mathtt{.}\mathtt{6}\mathtt{5} \end{aligned}

Borrow 10110^{-1}, resulting in 44 in the 10110^{-1} place, and 1010 in the 10210^{-2} place.

55 is the digit in the 10210^{-2} place. 10×1025×102=5×10210 \times 10^{-2} - 5 \times 10^{-2} = 5 \times 10^{-2}.

Borrow 10110^{1}, resulting in 11 in the 10110^{1} place, and 1010 in the 10010^{0} place.

Borrow 10010^{0}, resulting in 99 in the 10010^{0} place, and 1515 in the 10110^{-1} place.

66 is the digit in the 10110^{-1} place. 14×1018×101=6×10114 \times 10^{-1} - 8 \times 10^{-1} = 6 \times 10^{-1}.

77 is the digit in the 10010^{0} place. 9×1002×100=7×1009 \times 10^{0} - 2 \times 10^{0} = 7 \times 10^{0}.

11 is the digit in the 10110^{1} place. 1×1010×101=1×1011 \times 10^{1} - 0 \times 10^{1} = 1 \times 10^{1}.