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Find:
$(i).\ 0.2 \times 6$
$(ii).\ 8 \times 4.6$
$(iii).\ 2.71 \times 5$
$(iv).\ 20.1 \times 4$
$(v).\ 0.05 \times 7$
$(vi). 211.02 \times 4$
$(vii).\ 2 \times 0.86$
To do:
We have to find
(i) $0.2 \times 6$
(ii) $8 \times 4.6$
(iii) $2.71 \times 5$
(iv) $20.1 \times 4$
(v) $0.05 \times 7$
(vi) $211.02 \times 4$
(vii) $2 \times 0.86$
Solution:
On dividing a decimal by $10^n$, the decimal point is shifted to the left by $n$ places.
(i) $0.2\times6=\frac{2}{10}\times6$
$0.2\times6=\frac{12}{10}$
$0.2\times6=1.2$
(ii) $8\times4.6=8\times\frac{46}{10}$
$8\times4.6=\frac{368}{10}$
$8\times4.6=36.8$
(iii) $2.71\times5=\frac{271}{100}\times5$
$2.71\times5=\frac{1355}{100}$
$2.71\times5=13.55$
(iv) $20.1\times4=\frac{201}{10}\times4$
$20.1\times4=\frac{804}{10}$
$20.1\times4=80.4$
(v) $0.05\times7=\frac{5}{100}\times7$
$0.05\times7=\frac{35}{100}$
$0.05\times7=0.35$
(vi) $211.02\times4=\frac{21102}{100}\times4$
$211.02\times4=\frac{84408}{100}$
$211.02\times4=844.08$
(vii) $2\times0.86=\frac{2}{1}\times\frac{86}{100}$
$2\times0.86=\frac{172}{100}$
$2\times0.86=1.72$