Question

Find: \[0.7\div 10\]

Answer 1

Hint: To find the quotient when \[0.7\div 10\], we have to write the dividend in the right side and divisor in the left side. We have to choose the multiples of 10 that are less than or equal to the dividend. We will write the multiplier in the quotient and the multiple below the dividend. The multiple is subtracted from the dividend. The result is written below, and we call it the remainder. This procedure is followed till the remainder becomes 0.

Complete step by step answer:
We have to find the value when 0.7 is divided by 10. We will write it in the following form where the right side will be the dividend and the left side will be the divisor. Here, we can see that 0.7 is the dividend and 10 is the divisor.
\[10\overline{\left){0.7}\right.}\]
Now, we have to choose the multiples of 10 that are less than or equal to the dividend.
Firstly, let us convert the dividend into the simple form,
\[0.7\times 10=7\]
\[0.7=\dfrac{7}{10}\]
Let us keep the 10 aside in the above,
\[10\overline{\left){7}\right.}\]
Hence, \[7<10\], so decimal point is added in the quotient, then we get as
\[\dfrac{7}{10}=0.7\]
Hence, we kept 10 aside, here we have to divide the 10 with the quotient, then
\[\dfrac{0.7}{10}=0.07\]
Therefore, the required answer is 0.07.

Note: The common mistake done in fractions concept is believing that fractions’ denominators and denominators should be managed as a set of whole numbers. Most of the mistakes happen here. Students leave the denominator unchanged in fraction multiplication problems. And also failing to understand the reciprocate-and multiply procedure for solving fraction-based division problems.