Chapter 4, Problem 1IR

To determine

To add: The decimals $1.6$ and $0.97$.

Answer to Problem 1IR

The sum of decimals $1.6$ and $0.97$ is $2.57$.

Explanation of Solution

Procedure used:

The following are the steps to add or subtract the decimals:

Step 1: Arrange the decimals such that the decimal points line up vertically.

Step 2: Perform addition or subtraction of decimals like whole numbers.

Step 3: Locate the decimal point in the result such that it lines up with the decimal points in the Step 1.

Calculation:

The given decimals are $1.6$ and $0.97$.

Insert 0s in the appropriate place and line up the decimal points vertically as follows.

$\begin{array}{l}1.60\\ \underset{\_}{+0.97}\end{array}$

Add the decimals as whole numbers. That is, treat the decimals as whole numbers and add the numbers from right to left.

$\begin{array}{l}\stackrel{1}{1}.60\\ \underset{\_}{+0.97}\\ \text{ 2}\text{.57}\end{array}$

Here, the decimal point is placed in the sum such that all the decimal points line up vertically.

Therefore, the sum of decimals $1.6$ and $0.97$ is $2.57$.