Place Value - Mendenhall-Jr-PLC
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Transcript Place Value - Mendenhall-Jr-PLC
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Parsheena Berch
Resource: JBHM material
Pictures: Google Images
Place Value
Objective:
5M.1b. - Compose and decompose seven-digit
numbers and decimals through thousandths in
word, standard, and expanded forms. (DOK 1)
Introduction/Focus:
Who was the youngest millionaire in
United States history?
• The youngest millionaire was actually a
millionairess.
• It was Shirley Temple, a young actress in the
mid 1900s. Before she was ten years old, she
was worth over a million dollars. Today, this
would be the equivalent of eight million, nine
hundred thirty-two thousand, four hundred
seventy-two dollars.
• Can you write that number?
• You will be learning how to write numbers in
the millions.
Guided Practice: (DOK 1 and 3)
• How do we read and “write” numbers to the
millions?
• Look at this place value chart:
Millions
Hundred
Thousands
Ten
Thousands
Thousands
Hundreds
• 9,965,225
• Nine million, nine hundred sixty-five
thousand, two hundred twenty-five
Tens
Ones
Steps to Read Seven-Digit Whole
Numbers
1) Read the first digit normally and say
“million.”
2) Read the next three digits normally and say
“thousand.”
3) Read the next three digits normally.
Note:
• If the number contains less than seven digits,
follow the same steps, but begin Step 1 by
substituting the largest place value of the
number.
Examples:
9,456,222
Step 1
Step 2
Step 3
9 million 456 thousand 222
5,678,000
Step 1
Step 2
Step 3
5 million 678 thousand
(In this example, the last three digits are all zeros;
therefore, we end our number name after step 2.)
7,000,765
Step 1
7 million
Step 2
Step 3
765
(In this example, the “thousands place” was filled
with zeros, so we skipped Step 2.)
580,274
Step 1
Step 2
580 thousand 274
Step 3
(In this example, hundred thousands is the
highest place value, so we adjust by substituting
“thousand” instead of “million” in step 1.)
Quick Response:
1.
2.
3.
4.
5.
Write the following numbers in number form.
Six million, four hundred two thousand, eightyone
Eight hundred twenty-six thousand, two
Eight million, two hundred sixty thousand,
twenty
Nine million, four thousand, three hundred
Six million, thirty-one
Place Value Ruler:
• Create a place value ruler to keep in your
binders. Draw a place value chart on the strip
and label each value. Put it in the front of your
binder for a quick reference.
Rules for Writing 7-digit Numbers
in expanded form:
1. Write the first digit, then “x,” then one and
six zeros plus (+).
2. Write the second digit, then “x,” then one
and five zeros plus (+).
3. Write the third digit, then “x,” then one and
four zeros plus (+).
4. Continue this process by writing each digit
that is not a zero, then “x,” and one and
replacing the digits to the right of it with
zeros.
Examples:
• Write 5,240,675 in expanded form:
5 x 1,000,000 + 2 x 100,000 + 4 x 10,000 + 6 x
100 + 7 x 10 + 5 x 1
• Write 3,456,789 in expanded form
3 x 1,000,000 + 4 x 100,000 + 5 x 10,000 + 6 x
1,000 + 7 x 100 + 8 x 10 + 9 x 1
Write 8,029,050 in expanded form:
8 x 1,000,000 + 2 x 10,000 + 9 x 1,000 + 5 x 10
Note: In this example, there is a zero in the
hundred thousands place, the hundreds place,
and the ones place. Therefore, we skip those in
the expanded form and move to the next place
value.
Quick Response:
Write the following numbers in expanded form.
6,402,081
2,003,294
649,300
Two million, nine hundred fifty thousand, six
hundred thirty-one
One million, sixty-five thousand
Independent Work/Activity:
• Handout #1 on page 12 in the JBHM material.
Closure:
• Who was the youngest millionaire?
• Eight million, nine hundred thirty-two
thousand, four hundred seventy-two again
• Write it in numeral, word, (Monday)
• Expanded form (Tuesday).