Question

Find 0.08 × 10.

Answer 1

Hint: First look at some examples\[1 \times 10 = 10,2 \times 100 = 200\]. So, if we multiply any digit by 10, 100 etc., to get the answer just add the number of zeros to the right side of the digit. When multiplied by 10 add one zero, for 100 add two zeros, for 1000 add three zeros and so on.
Also \[\dfrac{1}{{10}} = 0.1,\dfrac{1}{{100}} = 0.01\]

Complete step by step solution:
Now we look at the given problem, \[0.08 \times 10\], name it as equation number 1
We can write 0.08 as a fraction, \[\dfrac{8}{{100}}\], since only two digits are after the decimal point.
Therefore, we can rewrite the equation number one as \[\dfrac{8}{{100}} \times 10\].
After cancelling ten from hundred we will get the equation as\[\dfrac{8}{{10}}\], that is the answer will be 0.8
So, when dealing with problems with a power of 10, simply count the number of zeros.
Then we can do the problem, either multiplication or division. First count the number of zeros, then when we multiply, the decimal point will be shifted to right based on the number of zeros. And when we divide, the decimal point is shifted to left based on the number of zeros.

Note: Based on the number of zeros in the denominator of a number just count to the left side of the digit starting from the unit's position and mark the decimal point. When multiplying a decimal by 10, then the decimal point is shifted to the right side by one place. Similarly, when we multiply by 100, then the decimal place will be shifted to the right side by two places, for 1000 it will be shifted by three places and so on.