2 digits subtraction: Grade 2 worksheet — subtract 2digit numbers, with regrouping
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Subtract Two 2Digit Numbers with Regrouping: Vertical Subtraction Worksheet
Combine math learning with adventure by solving to subtract two 2digit numbers with regrouping.
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Know more about Subtract Two 2Digit Numbers with Regrouping: Vertical Subtraction Worksheet
Does your child know how to subtract two 2digit numbers with regrouping? Invite them to practice this concept here. It is common for students to regroup numbers when they subtract multidigit numbers. They understand that one hundred is ten tens, one ten is ten ones, and so forth. Use subtract two 2digit numbers with regrouping worksheet to help your students practice this concept and develop their conceptual and strategic knowledge. This worksheet is about practicing the column method in which numbers are written one on top of another. In this method, students use their place value understanding to solve the problems.
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Subtraction  1 from 2 digits
Practice subtraction and motivate your students with this fun BOOM cards math game! The perfect alternative to a math worksheet, this digital puzzle game will give students plenty of practice at subtracting 1 digit from 2 digits (with regrouping).
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*8 introduction puzzles teaching the game (with included audio narration)
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Two Digit Addition and Subtraction — Tricks with Examples
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Twodigit numbers are quite common in modern life, so you need to be able to add and subtract them almost instantly. Today we will look at several tricks that will allow you to quickly calculate, and then check the correctness of the calculations when adding and subtracting twodigit numbers.
Number system
First, let’s decide which numbers in mathematics are considered twodigit. It is immediately clear from the word that these are numbers that contain two significant characters. Significant positions are counted from units up, but there is a finished number from right to left.
Units come first, then tens, hundreds, and so on. In this case, signs can also spread to the left of units in the form of decimal fractions after the decimal point.
Such a system is called positional. Each digit in it changes its meaning depending on the position it occupies. For example, there is the number 23, and there is 32, and these are different numbers that were written using the same numbers. Thanks to this approach, you can write any number in size with just 9digits from 1 to 0.
Separately, it should be said that any position other than zero is considered significant. In any number of insignificant positions, there are infinitely many. We write 23, but we understand that there are 0 hundreds and thousands in this number, that is, we can write it as 0023.
The number of zeros in front of the number can be infinitely large, so we do not write insignificant positions in front of the number.
Twodigit addition
Twodigit addition is a familiar process that can be done in a column or counted as a line «in the mind.» But at the same time, you can count quickly and in a line.
Let’s consider an example: 18+29 – let’s count the units first, and then the tens, after which we add the results. A similar approach is used for columnar calculations.
9+8=17
10+20=30
30+17=47 — such a calculation will take less than a minute, which will save time for solving much more important tasks.
This option is the most versatile, but there are situations when you can increase the counting speed even more. The variant most beloved by the compilers of examples: units of twodigit numbers add up to 10.
18+12=10+10+(8+2)=30 — just add 1
to the sum of tens of two numbers
Another option is two numbers that are psychologically difficult for students to count. It is not known why, but some additions are difficult for students.
As a rule, these are: 7+6 and 8+7. Over time, the guys get used to the fact that the first is 13, and the second is 15. But it’s better to memorize this and not bother your head.
This knowledge is used like this: 17+16=10+10+7+16=20+13=33
Subtraction
Subtracting on the same principle as adding will not work, because such a subtraction will be too cumbersome for an untrained mind. Therefore, the following algorithm is used:
 See how many tens are in subtracted
 We decompose the reduced into three numbers: in one there are as many tens as in the subtracted, in the second all the units that were in the reduced and 10, in the next remainder.
 We count
In practice it looks like this: 7328=(20+13+40)28=20+13+40(20+8)=20+13+40208=(2020)+ (138)+40=5+40. It’s a little tricky to start with, but after thousands and thousands of examples solved, your brain will still be calculating along those lines. Therefore, it is easier to understand with two or three examples and not waste time
If you look at the essence of all methods of rapid addition and subtraction of twodigit numbers, then this is a simple ability to correctly group numbers. It’s just that the methods suggest using not the initial values, but decomposing them into numbers that are more convenient to work with.
Checks
In order to quickly check the correctness of the results, you need to remember two things:
 The result of addition and subtraction can be negative
 The results of addition and subtraction of twodigit numbers cannot be more than 200 and less than 200. The fact is that the maximum integer twodigit number is 99, and the minimum is 99. The smallest value can be obtained by adding the two minimum values. The maximum value is the sum of the two maximum values. So it turns out 99+99=198 and 9999=198. And fractional prefixes will not give a total of more than 2.
What have we learned?
We talked about adding and subtracting twodigit numbers. Discussed the methods of addition and subtraction of twodigit numbers «in the mind.» They pointed to methods for determining gross errors in calculations.
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Addition and subtraction of twodigit numbers
Teaching a child arithmetic is quite difficult, because it consists of three stages. First you have to figure out the numbers from 0 to 9and then everything else. However, even with twodigit numbers, you need to work in stages. Have the child work through actions with numbers from 10 to 20, then from 20 to 30, and so on. If you apply the right methods and organize learning in a playful way, the child will quickly learn complex arithmetic.
So, training takes place in several stages.
Preparation
At this stage, the child learns to add and subtract twodigit numbers. Let the child first work with round numbers (learn how to add and subtract them). Then teach him to highlight bit terms in numbers (34=30+4). Try to explain to him that in the number 34 you get 3 tens and 4 ones. Counting sticks will help you deal with this. This is a fairly practical method that has been used in schools for a long time.
Please note that counting sticks can be easily replaced with Lego pieces or some kind of constructor: small pieces are units, larger pieces are tens. Immediately after that, you can proceed to the addition and subtraction of round numbers.
Adding and subtracting round numbers
There are different ways to teach a child to add and subtract round numbers.
In the same way, sort out the subtraction of round numbers. As soon as the baby learns these simple manipulations, you can move on.
Adding and subtracting numbers without crossing the digit
To understand this step, you will have to explain the steps in practice. Let’s say we want to perform the following action: 24+31 . Here we have to learn one more way of addition/subtraction. We lay out the sticks along a horizontal line — these will be our dozens; and vertically laid out sticks are units. Now stack the vertical sticks with the vertical ones, and the horizontal sticks with the horizontal ones. So we lay out 2 sticks horizontally and 4 vertically, and next to them — 3 horizontal and 1 vertical stick. Adding them up, we get 5 horizontal sticks and 5 vertical ones, that is, the final answer is 55. Gradually, the child will learn that units need to be added to units, and tens are added to tens.
The next thing you can do with your baby is to learn how to add and subtract in columns. Here it is necessary to explain to the future student that units are written under units, and tens under tens. It may be useful to first lay out the Lego pieces and find the result, and then carry out the calculation in a column.
Subtraction can be parsed in the same way (using sticks, Lego pieces and writing in a column). If a child has mastered the technique of addition, it will not be difficult for him to cope with subtraction.
Addition and subtraction of numbers with the transition through the digit
The complexity of the addition and subtraction of numbers through the digit is that here you have to “borrow” and “memorize” the numbers.
Let’s try to solve the following example (26+35) with sticks.
 Lay out the numbers with sticks and add them in digits. We have 5 horizontal and 11 vertical sticks.
 Now remind your child that when doing arithmetic, 10 ones equals 1 ten. It turns out that 10 vertical sticks can be replaced by 1 horizontal stick.
 Comes out 6 tens and 1 unit.
 This shows that when adding units, we have a number greater than 10. We replace these 10 units with 1 ten. Now we show the child that when performing addition and subtraction, you need to start with units. And if there are 10 or more of them, we select a dozen here and add it to the other dozens.
Once this stage is passed, you can consider other options for adding twodigit numbers.
 first add tens to the number, and then ones. (26+30+5=61)
 make the first term round, then add the second term to it and subtract the number that was added initially. (26+4=30; 30+35=65; 654=61)
 plus units with units, and tens with tens. Remember, if there are more than 10 units, then add 1 ten. (20+30=50; 6+5=11; 50+10=60) The total is 61.
Also show subtraction with a good example. Let’s say 5327.
 Making the first number (5 tens and 3 ones) and the second (2 tens and 7 ones)
 We see that it is impossible to subtract 7 units from 3 units. So we take 1 ten = 10 units.
 Now we can subtract 7 units from 13 units. And now subtract tens. Here it is important to remind the child that we have 1 less tens. So we subtract 2 from 4.
 In total we get 137=6 and 42=2. So, it turns out 5327=26.
After completing the visual method, start counting in other ways:
 first subtract in a column: remind the child that units are subtracted and added to units, and tens to tens. 5327=26
 and now we subtract tens, and after one.
To explain to your child the subtleties of arithmetic, take an abacus to help.