2.07 Subtraction with larger numbers
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When we work on subtraction problems, it helps to remember some of the addition strategies we've used so far.
Let’s find the value of $6005+2005$6005+2005, by partitioning the numbers.
Fill in the box with the missing number.
$6005=6000+\editable{}$6005=6000+
Fill in the box with the missing number.
$2005=\editable{}+5$2005=+5
Find the value of $6005+2005$6005+2005.
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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 take a look at how a standard algorithm helps us solve subtraction with large numbers.
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Question 1
Find the value of $876-653$876−653.
Question 2
Find the value of $7845-226$7845−226.
Question 3
Find the value of $42659-13493$42659−13493.
When subtracting, especially when using the standard algorithm, place value is really important. We want to make sure our numbers are lined up correctly before we subtract, and we start from the place to the far right.