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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: 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).