Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 32: Exercise 1.6

Evaluate: ${\left(\frac{4}{5}\right)}^{-2}÷{\left(\frac{4}{5}\right)}^{-3}$.

$225$ square shaped mosaic tiles, each of area $1 \mathrm{square} \mathrm{decimetre}$ exactly cover a square shaped verandah. If each side of the square shaped verandah is $k$ decimetre, then find $k$?

A human heart beats at an average of $80$ beats per minute, the number of times it beats in an hour is written in scientific notation as $k \times {10}^3$

Write the value of $k$.

A human heart beats at an average of $80$ beats per minute, the number of times it beats in a day is written in scientific notation as $k \times {10}^5$.

Write the value of $k$.

A human heart beats at an average of $80$ beats per minute, the number of times it beats in a year is written in scientific notation as $4.2048\times {10}^k$.

Write the value of $k$.

A human heart beats at an average of $80$ beats per minute, the number of times it beats in $100$ years is written in scientific notation as $k\times {10}^9$.

Write the value of $k$.

Evaluate $\sqrt{286225}$ and use it to compute $\sqrt{2862.25}+\sqrt{28.6225}$.

Simplify: $\left(3.769\times {10}^5\right)+\left(4.21\times {10}^5\right)$