2.01 Addition without regrouping
Are you ready?
Do you remember how we could solve addition problems using an algorithm?
Find the value of $13+26$13+26.
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Another word that we can use to describe the ones place is 'units'.
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You might notice that sometimes the standard algorithm is called the 'vertical algorithm'. Let's think about why. When we use the standard algorithm, we line our numbers up in 'vertical' place value columns.
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Let's see how place value models (also called Base 10 models) can help us with adding numbers together.
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We can also use a number line to help with addition, so let's see how we solve the same problem, $321+243$321+243, using a number line this time.
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Question 1
Use the number line, to help you find the value of $11+254$11+254.
$11+254$11+254 $=$= $\editable{}$
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This time we add some $4$4-digit numbers, using place value columns. We call this a standard algorithm.
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Question 2
Find the value of $1100+605$1100+605.
There are different ways to solve addition problems, and you can use them to add numbers of different sizes. It doesn't matter if your number has $3$3 digits, $4$4 digits, or even more!