Examples with solutions for Addition: Addition of 2-digit and 2-digit numbers with the regrouping of tens and ones

Exercise #1

If we have 28 blocks and we add a further 36 blocks, how many blocks will we have in total ?

Step-by-Step Solution

To solve this problem, we will use straightforward addition:

  • Step 1: Identify the numbers to be added. We have 28 blocks and add 36 blocks.
  • Step 2: Set up the addition equation: 28+36 28 + 36 .
  • Step 3: Perform the addition: 28+36=64 28 + 36 = 64 .

Therefore, the total number of blocks is 64 64 .

Answer

64 64

Exercise #2

If we have 45 blocks and we add a further 19 blocks, how many blocks will we have in total?

Step-by-Step Solution

To solve this problem, we need to find the total number of blocks after adding 19 blocks to an existing 45 blocks.

Step 1: Identify the numbers involved:

  • Initial number of blocks: 45 45
  • Additional blocks: 19 19

Step 2: Perform the addition calculation: 45+19=64 45 + 19 = 64

Now, let's explain the addition in detail:

  • Start by adding the ones place digits: 5+9=14 5 + 9 = 14 . Write down 4 and carry over 1 to the tens place.
  • Next, add the tens place digits, along with the carry-over: 4+1(carry)+1=6 4 + 1 (carry) + 1 = 6 .

Thus, the total number of blocks is 64 64 .

The correct answer choice is: 4

Therefore, the solution to the problem is 64 64 .

Answer

64 64

Exercise #3

The number 53 is shown as units and tens below:


What number do you get if you add 28 units?

Step-by-Step Solution

To solve this problem, we will add the numbers by employing the method of columnar addition:

  • Step 1: Add the units (rightmost digits) of both numbers:
    Given units: 3 3 (from 53) and 8 8 (from 28).
  • Calculate: 3+8=11 3 + 8 = 11 . Since this is more than 10, we write down 1 1 in the units place and carry over 1 1 to the tens place.
  • Step 2: Add the tens (leftmost digits) of both numbers:
    Given tens: 5 5 (from 53) and 2 2 (from 28).
  • Including the carry-over: 5+2+1=8 5 + 2 + 1 = 8 .
  • Place 8 8 in the tens place.

Therefore, the resulting number after adding 53 and 28 is 81 81 .

Answer

81 81

Exercise #4

If we have 65 blocks and we add a further 27 blocks, how many blocks will we have in total?

Step-by-Step Solution

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

  • Step 1: Align the numbers vertically by place value.

  • Step 2: Add the ones place digits and handle any carrying over if necessary.

  • Step 3: Add the tens place digits, including any carried over value.

Let's work through each step:
Step 1: Write the numbers 65 and 27 one below the other:

amp;65+amp;27 \begin{aligned} & 65 \\ + & 27 \\ \end{aligned}

Step 2: Starting with the ones place, add 5 and 7 to get 12. Write down 2 and carry over 1 to the tens place.
Step 3: In the tens place, add 6 and 2, plus the carried over 1, giving a total of 9.

The calculation results in:

amp;65+amp;27amp;92 \begin{aligned} & 65 \\ + & 27 \\ &\over92 \\ \end{aligned}

Therefore, the total number of blocks is 92 92 .

Answer

92 92

Exercise #5

If we have 17 blocks and we add a further 25 blocks, how many blocks will we have in total?

Step-by-Step Solution

To solve this problem, let's begin by stating the numbers involved in the addition:
- We start with an initial number of blocks: 17 17 .
- Then, we add an additional number of blocks: 25 25 .

We need to find the sum of these two numbers to determine the total number of blocks:

  • 17+25 17 + 25

Let's compute the sum:
To find 17+25 17 + 25 , we can add the numbers directly:

  • First, add the ones place: 7+5=12 7 + 5 = 12 , which gives us 2 in the ones place and carry over 1 to the tens place.
  • Then, add the tens place numbers: 1+2+1=4 1 + 2 + 1 = 4 .

This calculation results in the total number of blocks being 42 42 .

Therefore, the correct answer to the problem is 42 42 .

Answer

42 42