Question

Divide \[2.8 \div 0.7\].

Answer 1

Hint: We have to divide 2.8 by 0.7 that is \[ \dfrac{{2.8}}{{0.7}}\]. So the dividend will be 2.8 and the divisor will be $0.7$. To simplify this easily we multiply the numerator and the denominator term by 10. After that we find the factors of the numerator and the denominator and cancel the repeated terms we will get the required answer.

Complete step by step solution:
Given
\[2.8 \div 0.7\]
That is
\[ \Rightarrow \dfrac{{2.8}}{{0.7}}\]
Now multiply the numerator and the denominator by 10
\[ \Rightarrow \dfrac{{2.8 \times 10}}{{0.7 \times 10}}\]
\[ \Rightarrow \dfrac{{28}}{7}\]
We know that 28 is a multiplication of 7 and 4. That is \[28 = 7 \times 4\].
\[ \Rightarrow \dfrac{{7 \times 4}}{7}\]
Cancelling we have,
\[ \Rightarrow 4\].
Therefore, \[2.8 \div 0.7\] is 4.

Note:
While solving the division keep the below points in your mind.
\[ \bullet \] If both dividend and divisor are positive, the answer will be positive.
\[ \bullet \] If dividend is negative and divisor is positive, answer will be negative.
\[ \bullet \] If dividend is positive and divisor is negative, answer will be negative.
\[ \bullet \] If both dividend and divisor are negative, the answer will be positive.