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Skill: Subtract multiples of 100 mentally

Explanation and Free Practice Resources

This understanding connects subtracting 100, 200, or another multiple of 100 from a whole number through place value: the hundreds digit decreases by the corresponding number of hundreds while the tens and ones digits remain unchanged. It includes mentally finding nonnegative differences with numbers through 1,000, using equations, place-value representations, or an open number line, but does not include decimal numbers, negative results, or more advanced generalizations to larger numbers.

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Detailed Explanation: Subtract multiples of 100 mentally

To subtract a multiple of 100100, look at the hundreds digit. Subtract the number of hundreds, and keep the tens and ones digits the same.

Example: Find 764−300764-300.

  1. Think of 764764 as 77 hundreds, 66 tens, and 44 ones.
  2. Subtract 33 hundreds from 77 hundreds:
7 hundreds−3 hundreds=4 hundreds.7\text{ hundreds}-3\text{ hundreds}=4\text{ hundreds}.
  1. Keep the 66 tens and 44 ones unchanged.

So,

764−300=464.764-300=464.

You can also see this in expanded form:

700+60+4−300=400+60+4=464.700+60+4-300=400+60+4=464.

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    Subtraction - Whole Number - Subtract Multiple of 100 from a Number - Columns

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