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M.1 Add and subtract numbers ending in zeros

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What does it mean to add and subtract numbers ending in zeros?

Numbers ending in zeros are numbers such as 20, 300, 4,000, or 10,000. These numbers are easier to add and subtract because the zeros help us keep place value organized.

Examples:
  • 20 + 30 = 50
  • 4,000 βˆ’ 300 = 3,700
  • 10,000 βˆ’ 20 = 9,980
Note

Think of zeros as β€œplace holders.” They show the size of the number but do not change how you add or subtract the other digits.

How do we add numbers ending in zeros?

To add numbers ending in zeros, line up the digits by place value and add the nonzero digits. Then keep the zeros in their places.

Steps:
  • Take the numbers: 300 + 400
  • Add the nonzero digits: 3 + 4 = 7
  • Keep the zeros in place: 700
Note

Always line up numbers correctly by place value before adding.

How do we subtract numbers ending in zeros?

To subtract numbers ending in zeros, line up the digits by place value and subtract as usual. If needed, regroup (borrow) from the next higher place value.

Steps:
  • Take the numbers: 2,000 βˆ’ 300
  • Subtract the nonzero digits: 20 βˆ’ 3 = 17
  • Keep the zeros in place: 1,700
Note

If you cannot subtract the smaller digit from the larger one in a place value column, regroup from the next place to the left.

Why is place value important?

Place value tells us the value of each digit in a number. It helps us know where to put each digit when adding or subtracting.

Examples:
  • In 4,000, the digit 4 means four thousands.
  • In 20, the digit 2 means two tens.
  • In 10,000, the digit 1 means one ten-thousand.
Note

When numbers end in zeros, those zeros make it easier to see the place value of the nonzero digits.

Using addition and subtraction with real-life examples

Adding and subtracting numbers ending in zeros helps solve real-world problems, such as working with money, distances, or large groups.

Examples:
  • If a stadium has 10,000 seats and 20 are empty, then 10,000 βˆ’ 20 = 9,980 seats are filled.
  • If you read 300 pages one week and 200 pages the next, then 300 + 200 = 500 pages read in total.
Note

Look for problems in everyday life where numbers ending in zeros are used. This helps you see why these skills are important.