“I’m Thinking of a Number”

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Presentation transcript:

“I’m Thinking of a Number” My number has three digits to the right of the decimal point. My number is greater than 4.6 and less than 4.7. My number contains a 4 with a value equal to 4 x 1/100. My number has a 9 in the thousandths place. What is my number?

Number Forms What are some different ways you can think of to write the number 4,358?

Number Forms Base Ten Numeral (Standard Form): 4,358 Number Name (Word Form): four thousand three hundred fifty-eight Expanded Form: 4,000 + 300 + 50 + 8

How would you write 124.659 in all three forms?

Decimal Forms Base Ten Numeral (Standard form): 124.659 Number Name (Word Form): one hundred twenty four AND six hundred fifty nine thousandths Expanded form: 100 + 20 + 4 + 6 x (1/10) + 5 x (1/100) + 9 x (1/1000)

When might you use number names? When might you use base ten numerals? When might you use expanded form? What is the purpose of using expanded form?

Working in teams, write each number in all three forms: Let’s Practice! Working in teams, write each number in all three forms: 765 2.334 5,378,402 9,467.009

765 (7x100) + (6x10) + (5x1) seven hundred sixty-five 2 765 (7x100) + (6x10) + (5x1) seven hundred sixty-five 2.334 (2x1) + (3x1/10) + (3x1/100) + (4x1/1000) two AND three hundred thirty-four thousandths 5,378,402 (5x1,000,000) + (3x100,000) + (7x10,000) + (8x1,000) + (4x100) + (2x1) five million three hundred seventy-eight thousand four hundred-two 9,467.009 (9x1,000) + (4x100) + (6x10) + (7x1) + (9x1/1000) nine thousand four hundred sixty-seven and nine thousandths

Try these independently: 407.71 3,207,413.5 0.456