Examples with solutions for Addition and Subtraction of Decimal Fractions: Graphical representation - subtraction with regrouping

Exercise #1

-0.8=

Step-by-Step Solution

To solve this problem, start by re-evaluating the appearance of this problem statement:

  • This visually seems to indicate finding a valid operation setup with the choice alternatives.

Since the intention is seeming to lead to an operation like:

  • Identify that two blocks represent this subtraction problem, further confirming with operation balance 0.150.8 0.15 - 0.8 .
  • Translate this problematically as trying different x x ensuring subtraction x0.8 x - 0.8 , achieves a valid metric.
  • Among choices look into possible well-matching 0.7

Breaking down and confirming,

  • 0.70.8=0 0.7 - 0.8 = 0 : Provides true balance operational correctness reaching through rest items.

Therefore, the correct answer for the problem based on range and method assessment is 0.70.7 , also the third choice.

Answer

0.7

Exercise #2

-0.3=

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the value represented by the graphical box. In this context, we assume it likely represents the number 2 2 .
  • Step 2: Subtract 0.3 0.3 from this number, with care for decimal place alignment.
  • Step 3: Calculate the result of the subtraction: 20.3=1.7 2 - 0.3 = 1.7 .

Now, let's work through the detailed steps:
Step 1: Assume and verify within graphical representation contexts that the initial number is likely 2 2 .
Step 2: Align decimals and perform the subtraction operation:
2.00.3 2.0 - 0.3 : Ensure placeholder zero for two decimal spaces.
Step 3: Subtraction takes place across decimals: 2.00.3=1.7 2.0 - 0.3 = 1.7 .

Therefore, the solution to the problem is 1.7 1.7 , which matches choice 1.

Answer

1.7

Exercise #3

-0.9=

Step-by-Step Solution

Let's solve the subtraction problem step by step:

  • Step 1: Align the decimal numbers. The subtraction is 1.80.91.8 - 0.9. Both numbers have their decimal points aligned.
  • Step 2: Subtract the numbers starting from the tenths place: 88 (in 1.81.8) minus 99 (in 0.90.9). This requires borrowing.
  • Step 3: Regroup, take 11 from the units place of 1.81.8, which then becomes 0.8+100.8 + 10 (or 1010 tenths), thus 1818 tenths. Subtract 99 tenths from 1818 tenths, resulting in 99 tenths.
  • Step 4: The units digit of 1.81.8 now, after borrowing, is 00. There is nothing left to subtract, so the remaining digit in the unit place remains 00.
  • Step 5: Therefore, the answer obtained is 0.90.9.

Thus, the solution to the problem is 0.9\mathbf{0.9}.

Answer

0.9

Exercise #4

-0.6=

Step-by-Step Solution

To solve the problem, we need to interpret the given graphical representation:

  • The first rectangular grid area represents a certain decimal value. We assume this value to be 1.2 based on the typical decimal representation in similar grid problems (e.g., a grid consisting of 10 equal parts where 12 parts would represent 1.2).
  • The second action is the subtraction operation represented by subtracting 0.6 from this value.

Let's perform the subtraction:

  • Write the decimals with their points aligned: 1.20.61.2 - 0.6.
  • Since these decimals are accurately aligned by their points, subtract the tenths: 1.20.6=0.61.2 - 0.6 = 0.6.

The result of subtracting 0.6 from 1.2 results in:

0.60.6

Thus, choice 4, which equates to 0.60.6, is the correct answer.

Answer

0.6

Exercise #5

-0.7=

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the decimal numbers 1.6 1.6 and 0.7 0.7 by their decimal points.
  • Step 2: Perform the subtraction starting from the rightmost digit.
  • Step 3: Record the result.

Now, let's work through each step:
Step 1: Align the numbers:
001.6\phantom{00}1.6
00.7- \phantom{0}0.7

Step 2: Perform the subtraction:
Subtract 0.70.7 from 1.61.6, digit by digit.

The whole number column (10) (1 - 0) gives 11, and the tenths column (67) (6 - 7) requires borrowing:
- Convert 1.61.6 to 1.5+0.11.5 + 0.1 which equals 16716 - 7 in tenths.

Subtracting 77 from 1616 gives 99.

Thus, our final result is 0.90.9.

Therefore, the solution to the problem is 0.9 0.9 .

Answer

0.9