Examples with solutions for Subtraction: 2-digit and 1-digit numbers -regrouping of tens

Exercise #1

If

∘=8 \circ=8

Solve the following subtraction problem:

57−∘= 57-\circ=

Step-by-Step Solution

To solve this problem, we'll perform a direct replacement and subtraction. Here are the steps:

  • Step 1: Replace ∘ \circ with its given value. We know that ∘=8 \circ = 8 , so we substitute to get 57−8 57 - 8 .
  • Step 2: Perform the subtraction operation. We need to compute 57−8 57 - 8 .

Starting from the rightmost digit of the two numbers involved, we need to subtract 8 from 57:

  • First, look at the units digit: Since 7 is greater than 8, let's subtract directly: 7−8 7 - 8 cannot be done directly as we need to regroup.
  • We regroup by borrowing 1 ten from the tens place in 57. This turns the 5 in the tens place into a 4, and the 7 in the units place into 17.
  • Now subtract the single digits: 17−8=9 17 - 8 = 9 .
  • Finally, subtract the tens digits: 4−0=4 4 - 0 = 4 .

As a result, 57−8=49 57 - 8 = 49 .

This solution corresponds to choice 1: 49 49 .

Therefore, the solution to the problem is 49 49 .

Answer

49 49

Exercise #2

If

=9 \colorbox{yellow}\\=9

Solve the following subtraction problem:

68−= 68- \colorbox{yellow}\\=

Step-by-Step Solution

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

  • Step 1: Identify the number represented by the yellow box.
  • Step 2: Perform the subtraction operation.
  • Step 3: Determine the resulting value.

Now, let's work through each step:
Step 1: The problem gives us that the yellow box equals 9.
Step 2: Perform the subtraction operation 68−9 68 - 9 .
Step 3: Calculating the subtraction, we have 68−9=59 68 - 9 = 59 .

Therefore, the solution to the problem is 59 59 .

Answer

59 59

Exercise #3

If

∘=8 \circ=8

Solve the following subtraction problem:

34−∘= 34-\circ=

Step-by-Step Solution

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

  • Step 1: Substitute the given value for ∘ \circ into the subtraction problem.
  • Step 2: Perform the subtraction.

Now, let's work through each step:

Step 1: We know that ∘=8 \circ = 8 . Substitute this value into the expression:

34−∘ 34 - \circ becomes 34−8 34 - 8 .

Step 2: Perform the subtraction:

34−8=26 34 - 8 = 26 .

Therefore, the solution to the problem is 26 \boxed{26} .

Answer

26 26

Exercise #4

If

∘=8 \circ=8

Solve the following subtraction problem:

24−∘= 24-\circ=

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Substitute the value of ∘ \circ with 8 8 .
  • Step 2: Perform the subtraction.

Now, let's work through each step:

Step 1: The problem tells us that ∘=8 \circ = 8 .

Step 2: Substitute 8 8 into the equation where ∘ \circ appears: 24−8 24 - 8 .

Step 3: Calculate the result of the subtraction:
Start from 24 and count backward by 8 units:

  • Subtracting 4 from 24 gives us 20.
  • Then, subtracting another 4 from 20 results in 16.

Therefore, the solution to the problem is 16 16 .

Answer

16 16

Exercise #5

If

=7 \colorbox{yellow}\\=7

Solve the following subtraction problem:

62−= 62- \colorbox{yellow}\\=

Step-by-Step Solution

To solve this problem, we'll perform a straightforward subtraction operation:

  • Step 1: Set up the subtraction operation using the given numbers:
    62−762 - 7.
  • Step 2: Subtract 7 from 62:
    62 minus 7 equals 55.

Therefore, the solution to the problem is 5555.

Given the choices, the correct answer is choice 22, which is 5555.

Answer

55 55

Exercise #6

If:

=7 \colorbox{yellow}\\=7

Solve the following subtraction problem:

81−= 81- \colorbox{yellow}\\=

Step-by-Step Solution

To solve this subtraction problem, we'll proceed with the following steps:

  • Step 1: Recognize that the yellow box is equal to 77.
  • Step 2: Replace the yellow box in 81−yellow box81 - \text{{yellow box}} with 77.
  • Step 3: Perform the subtraction 81−781 - 7.

Let's work through these steps:

Step 1: From the given information, the yellow box is 77.

Step 2: Substitute the yellow box with 77 in the expression.

The expression becomes 81−781 - 7.

Step 3: Calculate 81−781 - 7. We perform the subtraction:

  • Subtract 77 from 8181:
  • 81−7=7481 - 7 = 74

The result is 7474.

Therefore, the solution to the problem is 74 74 .

Answer

74 74

Exercise #7

If

=7 \colorbox{yellow}\\=7

Solve the following subtraction problem:

82−= 82- \colorbox{yellow}\\=

Step-by-Step Solution

To solve this problem, we'll use the substitution method for the subtraction equation provided:

  • Step 1: Identify the value represented by the symbol. We are given that the yellow box equals 7.
  • Step 2: Substitute the value 7 into the subtraction problem: 82−782 - 7.
  • Step 3: Perform the subtraction operation: 82−7=75 82 - 7 = 75

Therefore, the solution to the problem is 75 75 .

Answer

75 75

Exercise #8

If:

=7 \colorbox{yellow}\\=7

Solve the following subtraction problem:

41−= 41- \colorbox{yellow}\\=

Step-by-Step Solution

To solve this problem, we'll proceed with straightforward subtraction:

  • Step 1: Recognize that the yellow box equals 7.
  • Step 2: Set up the subtraction: 41−7 41 - 7 .
  • Step 3: Perform the subtraction calculation.

Now, let's calculate this step-by-step:
Starting with the minuend 41, subtract the subtrahend 7.
Calculation: 41−7=34 41 - 7 = 34 .

Therefore, the solution to the subtraction problem is 34 34 .

Answer

34 34