Subtraction

🏆Practice subtraction

Subtraction

A subtraction exercise is an exercise where we take away something from a certain amount.
When we see the sign - we are shown that it's a subtraction exercise where we need to subtract something from a certain amount.

Let's look at an example –

Diana has 77 orange balls

Orange dots arranged in a 3x3 grid representing subtraction in math concepts for visual learning.

Eric took 33 balls from Diana.

Three orange dots in a horizontal line used to visually represent subtraction in math education.

How many balls does Diana have left?

Let's look again at Diana's balls
We know that Eric took 33 balls from her, so let's put aside the three balls that Eric took and count how many Diana has left.

Math subtraction example using orange dots above the names Diana and Eric to visually represent quantities. Ideal for educational content.

Diana has 44 balls left, therefore we obtain the following result:
73=47-3=4

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Test yourself on subtraction!

If we have 46 blocks in total and we remove 2 tens, how many blocks will remain?

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Subtraction

Now let's move on to a slightly harder exercise:
Solve the following exercise 133=13-3=

Let's use balls-
We have a group of 1313 balls

Visual representation of subtraction with 13 orange dots arranged in three rows for educational purposes in mathematics

From it we will subtract 33 balls and put them aside.
We should be left with:

Subtraction example with 10 orange dots arranged in two rows, illustrating a mathematical concept for educational purposes.

1010 balls.

Excellent!
Now we'll proceed to the subtraction operation without needing to draw circles.

When I have any number, for example 1717, and want to subtract 44 from it
Like in the exercise 174=17-4=
Let's imagine we already have 1717 and we simply want to subtract 44
Let's count:


First we subtract 11 and obtain 1616

Illustration of a black hand silhouette with the number 16 beside it, used for teaching subtraction in educational contexts.

Let's continue to subtract 11 and we'll obtain 1515

"Illustration of a black hand silhouette labeled with numbers 15 and 16, used for subtraction practice in educational contexts."

Let's continue to subtract 11 and we obtain 1414

"Illustration of a black hand silhouette labeled with numbers 14, 15, and 16, designed to teach subtraction concepts visually in math education."

Let's continue to subtract 11 and we'll obtain 1313

Hand subtraction method illustrating counting down from 16 to 13 using numbered fingers for visual math learning

The answer
174=1317-4=13


Let's do another exercise –
What is the solution to
185=18-5=
Let's imagine we have 1818 and we're simply subtracting 55 from it
Subtract 11 – we obtain 1717
First subtract 11 and we obtain 1616
Continue subtracting 11 and we obtain 1515
Continue subtracting 11 and we obtain 1313

We subtracted 55 and obtained 1313!
Therefore:

185=1318-5=13

Now we'll move on to slightly more advanced exercises!

Imagine that Melanie has 6565 chocolate cubes

Visual representation of subtraction using grouped blocks and individual units for teaching basic arithmetic concepts.

Harry took 3232 chocolate cubes from Melanie.

Illustration of subtraction using grouped and individual units, showcasing reduced quantities for basic math education.

How can we determine how many chocolate cubes Melanie has left without drawing or subtracting 1 each time?
Observe the following method -

The numbers we have contain tens and ones.
Let's see how many tens Melanie has – 6060
And how many tens Harry took from her – 3030
Subtract and obtain the following 6030=3060-30=30
Let's proceed to the ones – Melanie had
and 55 ones and Harry took 22 from her.
We'll subtract and obtain the following result 52=35-2=3

Now we'll add the sum of tens with the sum of ones that Melanie has left:
30+3=3330+3=33
This is the result for the exercise 6532=3365-32=33

Let's learn another way:
Vertical subtraction!
When we are presented with a subtraction problem like this:
376=37-6=

Write it in vertical form in the following way - ones under ones and tens under tens if they are present.

Vertical subtraction problem illustrating 37 minus 6 equals 31, used as an educational resource for teaching subtraction concepts in math.

Let's subtract ones from ones –
76=17-6=1
and tens from tens
30=33-0=3

We obtain the following 37637-6
is 3131.

Let's solve another exercise:
4624=46-24=

Let's write vertically, placing all ones under ones and tens under tens, as seen below:

Vertical subtraction example solving 46 minus 24 equals 22, demonstrating basic arithmetic for educational purposes.

Calculate 646-4
We obtain 22
Determine 424-2
We obtain 22

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Examples with solutions for Subtraction

Exercise #1

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

Step-by-Step Solution

To solve this problem, let's consider the following steps:

  • Step 1: Understand the removal of blocks. We are removing 5 tens and 4 ones. One "ten" equals 10 units, so 5 tens equal 5×10=50 5 \times 10 = 50 units.
  • Step 2: Calculate the total number of blocks to be removed. We have 50 (from tens) + 4 (ones) = 54 units to be removed.
  • Step 3: Perform the subtraction from the total number of blocks. The total number of blocks is 67. Therefore, we calculate 6754=13 67 - 54 = 13 .

After performing the above calculations, we confirm that the number of blocks remaining is 13 13 .

Answer

13 13

Exercise #2

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

Step-by-Step Solution

To solve this problem, we begin by calculating the total number of blocks to remove.

Step 1: Calculate the blocks in 4 tens.

  • A "ten" refers to 10 blocks. Thus, 4 tens equal 4×10=40 4 \times 10 = 40 blocks.

Step 2: Calculate the total blocks to remove by combining tens and ones.

  • We are also removing 1 more block, so the total becomes 40+1=41 40 + 1 = 41 blocks.

Step 3: Subtract the total removed blocks from the initial total to determine how many blocks remain.

  • 8541=44 85 - 41 = 44 .

Therefore, the number of blocks remaining is 44 44 .

Answer

44 44

Exercise #3

If we have 55 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

Step-by-Step Solution

To determine how many blocks remain, follow these steps:

  • Step 1: Calculate how many blocks 5 tens represent: 5×10=50 5 \times 10 = 50 .
  • Step 2: Add the 4 individual blocks being removed: 50+4=54 50 + 4 = 54 .
  • Step 3: Subtract the total removed blocks from the original number of blocks: 5554=1 55 - 54 = 1 .

After performing these calculations, we find that the number of blocks remaining is 1 1 .

Therefore, the solution to the problem is 1 1 .

Answer

1 1

Exercise #4

What number will we get if we subtract 2 tens and 5 units from the number 36.

Step-by-Step Solution

To solve this problem, we begin by determining what needs to be subtracted from the number 36. We have "2 tens" and "5 units" to subtract:

  • 2 tens is equal to 20 because one ten is equal to 10.
  • 5 units are simply the number 5 added directly.

Therefore, the total amount to subtract is 20+5=25 20 + 5 = 25 .

Next, we perform the subtraction operation:

Starting with the number 36, subtract 25:

  • 3625=11 36 - 25 = 11

After performing the subtraction, we conclude that the final result is:

11 11 .

Answer

11 11

Exercise #5

If we have 79 blocks in total, how many blocks will remain if we remove 2 tens and 3 ones?

Step-by-Step Solution

Let's solve the problem step by step:

We begin with a total of 79 79 blocks.

First, we need to determine how many blocks are removed:

  • Two tens, which equals 2×10=20 2 \times 10 = 20 blocks.
  • Three ones, equaling 3 3 blocks.

Add the blocks removed together: 20+3=23 20 + 3 = 23 blocks removed in total.

Now, subtract the total blocks removed from the starting total:

Total remaining=7923=56\text{Total remaining} = 79 - 23 = 56

Therefore, the number of blocks remaining is 56 56 .

Answer

56 56

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