PowerPoint created by 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: 9,965,225 Nine million, nine hundred sixty-five thousand, two hundred twenty-five Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones

Steps to Read Seven-Digit Whole Numbers Read the first digit normally and say “million.” Read the next three digits normally and say “thousand.” 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: Step 1 Step 2 Step 3 9,456,222 9 million 456 thousand 222

Step 1 Step 2 Step 3 5,678,000 5 million 678 thousand (In this example, the last three digits are all zeros; therefore, we end our number name after step 2.)

Step 1 Step 2 Step 3 7,000,765 7 million 765 (In this example, the “thousands place” was filled with zeros, so we skipped Step 2.)

Step 1 Step 2 Step 3 580,274 580 thousand 274 (In this example, hundred thousands is the highest place value, so we adjust by substituting “thousand” instead of “million” in step 1.)

Write the following numbers in number form. Quick Response: Write the following numbers in number form. Six million, four hundred two thousand, eighty-one 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: Write the first digit, then “x,” then one and six zeros plus (+). Write the second digit, then “x,” then one and five zeros plus (+). Write the third digit, then “x,” then one and four zeros plus (+). 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.

Write the following numbers in expanded form. 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).