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# Place Value - PowerPoint PPT Presentation

Place Value. “Students aren’t likely to meet the standards for adding and subtracting within 1000 without a solid understanding of place value to 1000.” Source: “Thinking About Place Value in Grade 2”, engageny.org website. Advantages of Place Value. The place value system:

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Place Value

“Students aren’t likely to meet the standards for adding and subtracting within 1000 without a solid understanding of place value to 1000.”

Source: “Thinking About Place Value in Grade 2”, engageny.org website

Advantages of Place Value

The place value system:

• Allows us to express very large numbers compactly – imagine trying to write hash marks to represent 987650909090300877652.
• Allows us to compute efficiently – imagine trying to compute MMCCXCIV times CLXXVII.

Source: “Thinking About Place Value in Grade 2”, engageny.org website

Understanding Place Value

Understanding place value is:

• Having number sense of the base ten units,
• Understanding how these units are bundled and unbundled at will, and
• Connecting this understanding to the positional notation system.

Students must understand these things in connection with one another.

Source: “Thinking About Place Value in Grade 2”, engageny.org website

Base 10 Blocks
• Small cube = 1
• Long = 10
• Flat = 100
• Allow students to time to compare 10 units to 1-ten rod, 10 rods to one 100-flat.
Bundling and Unbundling
• Use base 10 blocks to:
• Show 100, Show 100 another way. How could you show another way?
• Show 56 two ways.
• Show 132. How many other ways can you find?
• Show 75 in a way that would help you subtract 75 – 48.
Comparisons

Are these comparisons true or false?

• 2 hundreds + 3 ones > 5 tens and 9 ones
• 9 tens + 2 hundreds + 4 ones < 492
• 456 < 5 hundreds

Explain.

More bundling and unbundling

Make true equations. Write one number in every space. Draw a picture if it helps.

• 14 tens = _10_ tens and _____ tens
• = ____ hundred + _4_ tens
• = ____
One, Ten, and One Hundred More and Less

These activities promote a bridge between understanding place value and using strategies based on place value for addition and subtraction.

• What number is 1 more than 99?
• What number is 1 less than 600?
• What number is 10 more than 90?
• What number is 10 less than 300?
• What number is 100 more than 570?
• What number is 100 less than 149?

Source: illustrativemathematics.org/illustrations 2.NBT

More bundling and unbundling
• What number represents the same amount as 2 tens + 7 ones?
• What number represents the same amount as 4 tens + 0 ones?
• What number represents the same amount as 5 tens + 12 ones?
• What number represents the same amount as 3 hundreds + 18 tens + 5 ones?
• What number represents the same amount as 7 hundreds + 19 tens?

Source: illustrativemathematics.org/illustrations 2.NBT.A.1

Not So Good!

Hundreds, Tens, and Ones

• 234 = ____ hundreds, ____ tens, ____ ones
• 809 = ____ hundreds, ____ tens, ____ ones
• ________ = 3 hundreds, 4 tens, 8 ones
• ________ = 6 hundreds, 0 tens, 2 ones