Examples with solutions for Addition: Graphical representation

Exercise #1

Add fifty units to the number 31.

What is the resulting number?

Step-by-Step Solution

To solve this problem, we'll perform simple addition:
Step 1: Identify the numbers to be added, which are 31 and 50.
Step 2: Calculate the sum: 31+50 31 + 50 .

Let's perform the calculation:

  • Start the addition from the rightmost digit (units place).
  • In the units place, add 1 (from 31) and 0 (from 50), giving us 1.
  • In the tens place, add 3 (from 31) and 5 (from 50), which gives us 8.

Since there's nothing to carry over, the sum directly gives us the resulting number. Thus, 31+50=81 31 + 50 = 81 .

Therefore, the resulting number when adding fifty units to the number 31 is 81 81 .

Answer

81 81

Exercise #2

Add ten units to the number 72.

What is the resulting number?

Step-by-Step Solution

To find the resulting number when ten units are added to 72, we will perform the following steps:

  • Step 1: Identify the starting number, which is 72.
  • Step 2: Add 10 to the starting number. This is done by calculating 72+10 72 + 10 .

Let's perform the calculation:

72+10=82 72 + 10 = 82

Therefore, the resulting number when ten units are added to 72 is 82 82 .

Answer

82 82

Exercise #3

Add thirty units to the number 44.

What is the resulting number?

Step-by-Step Solution

To solve the problem, we will perform simple addition:

  • Step 1: Identify the numbers involved. We have the number 44 44 and we need to add 30 30 to it.
  • Step 2: Use the addition formula to find the sum. This is calculated as 44+30 44 + 30 .
  • Step 3: Perform the calculation. Since 44+30=74 44 + 30 = 74 , we find that the resulting number is 74 74 .

Therefore, the solution to the problem is 74 74 .

Answer

74 74

Exercise #4

Add twenty units to the number 66. What is the resulting number?

Step-by-Step Solution

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

  • Step 1: Identify the initial number and the amount to be added.
  • Step 2: Perform the addition of the two numbers.

Now, let's work through each step:

Step 1: The initial number is given as 66, and we need to add 20 to it.

Step 2: We'll perform the addition:
66+20=86 66 + 20 = 86

Therefore, the solution to the problem is 86 86 .

Answer

86 86

Exercise #5

We built the number 66 - what number will we get if we add one ten and one unit?

Step-by-Step Solution

To solve this problem, we need to add one ten (10) and one unit (1) to the number 66.

We'll follow these steps to find the new number:

  • Step 1: Start with the original number, 66 66 .
  • Step 2: Add one ten. This means adding 10 10 to 66 66 .
    66+10=76 66 + 10 = 76 .
  • Step 3: Add one unit to the result from Step 2. This means adding 1 1 to 76 76 .
    76+1=77 76 + 1 = 77 .

Therefore, after adding one ten and one unit to 66, the resulting number is 77 77 .

Answer

77 77

Exercise #6

What number do we get if we add 2 tens and 2 units to the number 34?

Step-by-Step Solution

To solve this problem, we'll perform the addition step-by-step, carefully keeping track of place values.

First, we start with the number 34.
We need to add 2 tens, which is equivalent to adding 20. Thus:
34+20=54 34 + 20 = 54

Next, add 2 units to the new total:
54+2=56 54 + 2 = 56

The final number we get after adding 2 tens and 2 units to 34 is 56\mathbf{56}.

Answer

56 56

Exercise #7

What number do we get if we add 3 tens and 4 units to the number 55?

Step-by-Step Solution

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

  • Step 1: Add the 3 tens to the number 55.
  • Step 2: Add the 4 units to the result from Step 1.

Let's work through each step:

Step 1: We need to add three tens to 55. Three tens equal 3×10=303 \times 10 = 30.
Thus, adding 30 to 55 gives us:

55+30=8555 + 30 = 85

Step 2: Now, we add the 4 units to the result of Step 1 (which is 85).
Adding 4 gives us:

85+4=8985 + 4 = 89

Therefore, the solution to the problem is 89 89 .

Answer

89 89

Exercise #8

What number do we get if we add 6 tens and 7 units to the number 12?

Step-by-Step Solution

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

  • Step 1: Calculate the value of 6 tens.
  • Step 2: Calculate the value of 7 units.
  • Step 3: Add the values obtained in Steps 1 and 2.
  • Step 4: Add this result to the initial number.

Let's work through each step:

Step 1: Calculate the value of 6 tens.
Each "ten" represents 10 units, so 6 tens equals 6×10=60 6 \times 10 = 60 .

Step 2: Calculate the value of 7 units.
Each "unit" represents 1, so 7 units equal 7×1=7 7 \times 1 = 7 .

Step 3: Add the values from Steps 1 and 2.
The total value of tens and units is 60+7=67 60 + 7 = 67 .

Step 4: Add this result to the initial number, 12.
So, 12+67=79 12 + 67 = 79 .

Therefore, when we add 6 tens and 7 units to the number 12, we obtain 79 79 .

Answer

79 79

Exercise #9

What number will we get if we add 3 tens and 4 units to the number 61?

Step-by-Step Solution

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

  • Step 1: Identify the initial number.
  • Step 2: Add 3 tens to the initial number.
  • Step 3: Add 4 units to the result of Step 2.

Now, let's work through each step:
Step 1: The problem gives us the initial number as 61 61 .
Step 2: Add 3 tens (which is 30 30 ) to 61 61 :
61+30=91 61 + 30 = 91 .
Step 3: Add 4 units to 91 91 :
91+4=95 91 + 4 = 95 .

Therefore, the resulting number after adding 3 tens and 4 units to 61 61 is 95 95 .

Answer

95 95

Exercise #10

How many units are there in total if we add 3 units to 9 units?

Remember that the number of units here is the sum of the two amounts.

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Identify the numbers given in the problem.
  • Step 2: Use addition to find the sum of these numbers.
  • Step 3: Verify that the sum corresponds to one of the answer choices.

Now, let's work through each step:
Step 1: The problem gives us 3 units and 9 units.
Step 2: We'll use the addition operation.
3+9=12 3 + 9 = 12
Step 3: Check the given choices to ensure our answer, 12, matches one of them.

Therefore, the solution to the problem is 12 12 .

Answer

12 12

Exercise #11

How many units are there in total if we add 4 units to 8 units?

Remember that the number of units is the sum of the two amounts.

Step-by-Step Solution

To solve this problem, let's follow the steps:

  • Step 1: Identify the numbers that need to be added. In this case, they are 4 4 and 8 8 .
  • Step 2: Apply the addition operation to those numbers: 4+8 4 + 8 .
  • Step 3: Perform the calculation. Adding those numbers gives us: 4+8=12 4 + 8 = 12 .

Therefore, the total number of units when we add 4 units to 8 units is 12\mathbf{12}.

Answer

12 12

Exercise #12

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

Exercise #13

If we have 27 blocks in total and we want to add enough blocks in order that the total number of blocks will be divisible by 10, how many extra blocks must we add?

Step-by-Step Solution

To solve this problem of determining how many blocks need to be added to 27 in order to make it divisible by 10, we will follow these steps:

  • Step 1: Calculate the remainder when 27 is divided by 10.
  • Step 2: Determine how many blocks are needed to reach the next multiple of 10.

Let's work through each step:

Step 1: Calculate the remainder:

When we divide 27 by 10, we perform the calculation 27÷10=2 27 \div 10 = 2 remainder 7 7 . This means, 277(mod10) 27 \equiv 7 \pmod{10} .

Step 2: Find how many more blocks are needed:

We want the total to be a multiple of 10. The next multiple of 10 after 27 is 30.

To find how many more blocks we need, we subtract the remainder from 10:

107=3 10 - 7 = 3

Therefore, we need to add 3 blocks to the current 27 blocks to make the total divisible by 10.

Thus, the number of additional blocks needed is 3\boxed{3}.

Answer

3 3

Exercise #14

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 #15

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 #16

If we have 48 blocks and we add a further 4 blocks, how many blocks will we have in total?

Step-by-Step Solution

To solve this problem, we will perform a simple addition. We begin with 48 blocks and add 4 more blocks. Our task is to find out the total number of blocks.

Let's calculate step by step:

  • Step 1: Identify the initial number of blocks. This is given as 48 48 .
  • Step 2: Identify how many blocks are added. This is given as 4 4 .
  • Step 3: Perform the addition of these two numbers: 48+4 48 + 4 .

By performing the addition,

48+4=52 48 + 4 = 52 .

Therefore, after adding the 4 blocks, the total number of blocks we have is 52 52 .

Answer

52 52

Exercise #17

If we have 57 blocks and we add a further 8 blocks, how many blocks will we have in total?

Step-by-Step Solution

To solve this problem, follow these steps:

  • Step 1: Identify Given Information: We have 57 blocks initially.
  • Step 2: Apply Addition: We will add 8 blocks to the initial 57 blocks.
  • Step 3: Perform Calculation: Calculate the sum using addition.

Now, carrying out the calculation:
We start with 57 57 blocks. When we add another 8 8 blocks, the operation is:
57+8=65 57 + 8 = 65

Therefore, after adding the additional blocks, we have a total of 65 65 blocks.

Answer

65 65

Exercise #18

If we have 63 blocks in total and we add a further 9 ones, how many blocks will we have in total?

Step-by-Step Solution

To solve this problem, we need to add the additional blocks to the existing blocks:

  • Step 1: Start with the initial number of blocks, which is 63.
  • Step 2: Add the additional blocks, which are 9, using the addition operation.
  • Step 3: Perform the addition: 63+9 63 + 9 .

Now, let's calculate:

Performing the addition, we have:

63+9=72 63 + 9 = 72

This calculation gives us the total number of blocks. Therefore, the solution to the problem is that there are 72 blocks in total.

Answer

72 72

Exercise #19

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:

65+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:

65+2792 \begin{aligned} & 65 \\ + & 27 \\ &\over92 \\ \end{aligned}

Therefore, the total number of blocks is 92 92 .

Answer

92 92

Exercise #20

If we have 7 blocks and we add a further 7 blocks: How many blocks will we have in total?

Step-by-Step Solution

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

  • Step 1: Identify the given information and numbers to add.
  • Step 2: Perform the addition accurately.
  • Step 3: Match the calculated total with the given answer choices to confirm the correct answer.

Now, let's work through each step:
Step 1: The problem provides us with two sets of blocks, each containing 7 blocks. We need to find the total number of blocks after adding them together.
Step 2: Using the formula for addition, add the two sets of blocks: 7+7 7 + 7 . Performing this addition gives us:
7+7=14 7 + 7 = 14 Step 3: Compare this result with the given choices: the correct answer is indeed 14 14 , which matches choice id=1\text{id}=1.

Therefore, the solution to the problem is 14 14 .

Answer

14 14