ADDITION AND SUBSTRACTION OF DECIMAL NUMBER

Any number that has a decimal point separating the whole number portion from the fractional portion is said to be a decimal number.

All decimal numbers have two parts: whole and decimal part and the two are separated by a decimal point.

For example, $99.25$ is a decimal number. Please note that all figures after the decimal point are pronounced separately 

The number $99.25, for instance, is pronounced "ninety-nine" point "two" "five," not "ninety-nine point twenty-five."

Additions Of Decimal Numbers.

When adding decimal numbers, the numbers must be arranged in a column with the decimal points parallel to one another.

Example 1

Add 2.8 and 0.008.

Solution:

$$\begin{align}2&.8 \\+\quad 0 &.008 \\\hline &\end{align}$$

For clarity, let's add zeros to 2.8

$$\begin{align}2.800& \\\underline{+\quad 0.008}& \\\underline{2.808}&\end{align}$$

Example 2

Add the four numbers: 6.9, 3.943, 6.732, 2.33

Solution:

$$\begin{align}6&.9 \\+\quad 3&.943\\+\quad 0&.732 \\+\quad2&.33 \\\hline &\end{align}$$

Padding with zeros

$$\begin{align}6.900& \\+\quad 3.943 \\+\quad6.732\\\underline{+\quad 2.330}& \\\underline{19.905}&\end{align}$$

Subtraction of Decimal Numbers

To subtract decimal numbers, the arrangement of the number must be in column, with the decimal point staying on top of each other.

Example 3

Subtract 4.03 from 5.358

Solution:

$$\begin{align}5.358 &\\-\quad 4.020 & \\\hline \underline{1.338} &\end{align}$$

Example 4

Minus 0.003 from 9.25

Solution:

$$\begin{align}9.250&\\-\quad 0.003 & \\\hline \underline{9.247}&\end{align}$$

READ ALSO: PROPERTIES OF NATURAL NUMBERS

Example 5

If $A=0.93+0.7+0.6+0.5$ and $B=9.23-4.146$. solve $A+B$

Solution

A is equal equal to:

$$\begin{align}0.93 &\\+\quad 0.7 & \\+\quad 0.6& \\+\quad 0.5 &\\\hline \underline{2.73} &\end{align}$$

B is equal to:

$$\begin{align}9.230 &\\-\quad 4.146 & \\\hline \underline{5.084} &\end{align}$$

$A+B=2.73+5.084=7.814$

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