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# Add and subtract within 20: FAQ

## How can we use place value blocks to help add and subtract?

We can use place value blocks to represent each number we want to add, and then combine them to find the total.
For example, if we want to add $12+6$, we can start by drawing $12$ blocks and then make a second group of place value blocks that has $6$ blocks. After we put them together, we will see there are $18$ blocks.
For subtraction, we can use the blocks to represent the larger number, and then take away the appropriate number of blocks to find the difference.
For example, to subtract $14-8$, we can draw a set of blocks that has $14$ place value blocks. Then we can take away $8$ place value blocks from the $14$ blocks. Now, there are $6$ blocks lets.

## How can we use ten frames to help add and subtract?

Ten frames can be helpful for adding and subtracting because they allow us to visually see the numbers we're working with. To add using ten frames, we can fill in the frames with the numbers we want to add.
For example, if we want to add $8$ and $4$, we could fill in eight squares on one ten frame and four squares on another ten frame. By combining the two frames, we can see that the sum is $12$.
To subtract using ten frames, we can fill in the frame with the larger number and then remove squares to represent the smaller number. For example, if we want to subtract $3$ from $7$, we would fill in seven squares on the ten frame and then remove three squares. This would leave us with four squares filled in, which represents the difference.

## How can we use number lines to help add and subtract?

We can use the number line to visually represent the two numbers being added or subtracted. For example, to solve $7+9$, we can mark both $7$ and $9$ on the number line. Then we can see that adding the two numbers together will result in a sum $16$.
To solve $12-4$, mark $12$ on the number line. Then we can subtract $4$ to see that the jump ends at $8$.

## How can we use arrays to help us add?

We can use arrays to represent repeated addition! For example, an array of $5$ rows and $3$ columns can be thought of as adding .
$\stackrel{1}{3}+\stackrel{2}{3}+\stackrel{3}{3}+\stackrel{4}{3}+\stackrel{5}{3}=15$

## Where do we use addition and subtraction in the real world?

We use addition and subtraction all the time! For example, we might use them when we're counting money, dividing up snacks, or measuring ingredients for a recipe.

## Want to join the conversation?

• How do you add 6+7 by using base 10 blocks?
• You can add 6 + 7 using base 10 blocks this way:

Imagine that you have 2 boxes, 1 with 6 balls and 1 with 7 balls. You need to put 3 bolls in the 2nd box to make 10 on that box. So, you take 3 from the 1st box and put them on the 2nd box.

(6) + (7) =
(3 + 3) + 7 =
(3) + (3 + 7) =
(3) + (10) =
(13)
• Do mathematicians use these methods in advanced mathematics, or are these only used at the elementary level?
(1 vote)
• From my experience, I stopped using these around the 2nd grade and yes, they are mostly used at the elementary level.
• why different questions have the same answers??
• how can i tell the time in a number line
(1 vote)
• do you like being a teacher because they teach children?
(1 vote)
• How do I do this addition. It's too hard for me to understand.
(1 vote)
• is there another way to add 6+7 without using 10 blocks?
(1 vote)
• Yes, there are many other ways to add 6 + 7 without using the base ten blocks. One could simply use mental math, tally marks, fingers, counting on a number line, or even calculation. There are many other ways to add 6 + 7 without using the blocks. I can show you one here. Let's use tallies.

Here I have six (6) tallies.

||||| |

Here I have seven (7) tallies.

||||| ||

Now, I will count all the tallies together to find the answer of the expression 6 + 7.

||||| | + ||||| || = ||||| ||||| |||

In the end I find the answer of 6 + 7 = 13

Hope this helps!
(1 vote)