Question

Subtract the following and depict on the number line.
(i) 9 from 4
(ii) 9 from -4
(iii) -8 from 3
(iv) 6 from 2
(v) -9 from 1
(vi) 3 from -9

Answer 1

Hint: Here we subtract the first number from the second number and write the answer of each part. Also, we show the subtraction on the number line by moving to the left side.
* A number line represents the numbers placed at equal distance. It is drawn as

Complete step-by-step answer:
We solve each part separately and represent the numbers on the number line.
Here we use the concept that negative sign multiplied by negative sign becomes positive sign and negative sign multiplied with positive sign becomes negative sign.
(i) 9 from 4
We have to subtract the number 9 from the number 4.
\[ \Rightarrow (4) - (9) = - 5\]
Now we show the subtraction on the number line.

(ii) 9 from -4
We have to subtract the number 9 from the number -4.
\[ \Rightarrow ( - 4) - (9) = - (4 + 9)\]
\[ \Rightarrow ( - 4) - (9) = - 13\]
Now we show the subtraction on the number line.

(iii) -8 from 3
We have to subtract the number -8 from the number 3.
\[ \Rightarrow (3) - ( - 8) = 3 + 8\]
\[ \Rightarrow (3) - ( - 8) = 11\]
Now we show the subtraction on the number line.

(iv) 6 from 2
We have to subtract the number 6 from the number 2.
\[ \Rightarrow (2) - (6) = - 4\]
Now we show the subtraction on the number line.

(v) -9 from 1
We have to subtract the number -9 from the number 1.
\[ \Rightarrow (1) - ( - 9) = 1 + 9\]
\[ \Rightarrow (1) - ( - 9) = 10\]
Now we show the subtraction on the number line.

(vi) 3 from -9
We have to subtract the number 3 from the number -9.
\[ \Rightarrow ( - 9) - (3) = - (9 + 3)\]
\[ \Rightarrow ( - 9) - (3) = - 12\]
Now we show the subtraction on the number line.

Note: Students many times make mistakes while subtracting the numbers when one of the numbers is given as negative, you can try to take negative common and then write the subtraction to make your work easy. Example: \[( - 3) - (4) = - [3 + 4] = - 7\].