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Learning Objective

Learning Objective. Name __________________________. Today, we will round numbers. Place Value. CFU What are we going to do today?. Activate (or provide) Prior Knowledge. A digit is a number from 0 to 9: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

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Learning Objective

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  1. Learning Objective Name __________________________ Today, we will round numbers. Place Value CFU What are we going to do today? Activate (or provide) Prior Knowledge A digit is a number from 0 to 9: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Place value: The place is the position of a digit in a number. The value is the worth of the digit due to its position. hundred thousands ten thousands ones thousands hundreds tens millions 4 3 5 2 8 0 7 , , Circle the number in the thousands place. A. 53,231 B. 84,562 Circle the number in the ten thousands place. C. 261,284 D. 479,561 CFU Students, you already know how to identify the place value of numbers. Today, we are going to use place value to round numbers.

  2. Concept Development To round a numberis to change a number to a near value. Place Value • Rounding makes a numbersimpler by replacing all digits after the selected1digit with 0. 1 chosen Rounding Down Rounding Up Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. hundred thousands ten thousands ones thousands hundreds tens millions • Round down when the digit to the right of the selected digit is 4 or less. • Round up when the digit to the right of the selected digit is 5 or more. 4 3 5 2 8 0 7 , , • When rounding down the selected digit stays the same. • When rounding up the selected digit is increased2 by 1. 2 made larger Round to the nearest ten thousand. Round to the nearest hundred thousand. 4,352,807 4,352,807 rounds down to rounds up to 4,350,000 4,400,000 Go to Skill Dev. Go to Skill Dev. CFU When rounding 7,819,623 to the nearest hundred thousand, will the number be rounded up or rounded down? How do you know? A round down B round up When rounding 7,819,623 to the nearest ten thousand, will the number be rounded up or rounded down? How do you know? A round down B round up In your own words, what does it mean to round a number? To round a number means to __________.

  3. Skill Development/Guided Practice Rounding down changes the number to a lesser value. Place Value • Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. • Round up when the digit to the right of the selected digit is 5 or more. Round numbers. hundred thousands ten thousands ones thousands hundreds tens millions 1. 8,217,462 rounded __________ to the nearest thousand is _________________. 8,217,000 down 7,557,000 2. 7,557,065 rounded __________ to the nearest thousand is _________________. 4 3 5 2 8 0 7 down , , 3. 8,213,462 rounded __________ to the nearestten thousand is _________________. 8,210,000 down 7,570,000 4. 7,574, 065 rounded __________ to the nearestten thousand is _________________. down Back to Concept Development 5. 1,804,652 rounded __________ to the nearest thousand is _________________. 1,805,000 up 6. 5,392,841 rounded __________ to the nearest thousand is _________________. 5,393,000 up 7. 1,847,652 rounded __________ to the nearestten thousand is _________________. up 1,850,000 8. 9,468,983 rounded __________ to the nearestten thousand is _________________. up 9,470,000 CFU (#2) How did I/you identify the place value of the selected digit? (#3) How did I/you determine to round up or down? (#4) How did I/you round the number?

  4. Relevance Rounding down changes the number to a lesser value. • Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. • Round up when the digit to the right of the selected digit is 5 or more. • Rounding numbers will make it easier to add large numbers. • 2. Rounding numbers will help you do well on tests. $19.89 Learn to sing. The music book costs about $20 Nichole wants to buy two copies of this book so that she and her friend can learn to sing. CFU Does anyone else have another reason why it is relevant to round numbers? (pair-share) Why is it relevant to round numbers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why?

  5. Place Value Rounding down changes the number to a lesser value. • Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. • Round up when the digit to the right of the selected digit is 5 or more. Skill Closure hundred thousands ten thousands 1. 6,247,262 rounded __________to the nearest thousand is _________________. down ones thousands hundreds tens millions 6,247,000 2. 8,758,635 rounded __________to the nearest thousand is _________________. 8,759,000 up 4 3 5 2 8 0 7 , , Constructed Response Closure When rounding to the nearest hundred thousand Isaac determined that 8,758,635 will be rounded down. Is he correct or incorrect? Explain your answer. ________________________________________________________________________________________________________________________ Summary Closure What did you learn today about rounding numbers? (pair-share) Day 1 _________________________________________________________________________________________________________________________________________________________________________ Day 2__________________________________________________________________________________ _______________________________________________________________________________________

  6. Independent Practice Name __________________________ Rounding down changes the number to a lesser value. Place Value • Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. • Round up when the digit to the right of the selected digit is 5 or more. Round numbers. hundred thousands ten thousands down 1. 9,754,200 rounded __________ to the nearest thousand is _________________. ones thousands hundreds tens millions 9,754,000 2. 3,292,707 rounded __________ to the nearestten thousand is _________________. down 4 3 5 2 8 0 7 , , 3,290,000 3. 6,892,707 rounded __________ to the nearestthousand is _________________. up 6,893,000 4. 5,659,200 rounded __________ to the nearesthundred thousand is _________________. 5,700,000 up 5. 8,654,200 rounded __________ to the nearestten thousand is _________________. 8,650,000 down 6. 1,578,142 rounded __________ to the nearestten thousand is _________________. 1,580,000 up 7. 2,561,190 rounded __________ to the nearest hundred thousand is _________________. 2,600,000 up 8. 2,561,190 rounded __________ to the nearest thousand is _________________. 2,561,000 down

  7. Periodic Review 1 Name __________________________ Place Value Rounding down changes the number to a lesser value. • Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. • Round up when the digit to the right of the selected digit is 5 or more. Round numbers. hundred thousands ten thousands ones thousands hundreds tens millions 1. 3,313,546 rounded __________ to the nearestten thousand is _________________. 3,310,000 down 2. 9,986,502 rounded __________ to the nearestten thousand is _________________. 9,990,000 4 3 5 2 8 0 7 up , , 3. 6,456,708 rounded __________ to the nearesthundred thousand is ________________. 6,500,000 up 4. 8,674,017 rounded __________ to the nearestten thousand is _________________. 8,670,000 down 5. 7,592,732 rounded __________ to the nearest thousand is _________________. up 7,593,000 6. 1,228,943 rounded __________ to the nearesthundred thousand is _________________. 1,200,000 down 7. 8,654,200 rounded __________ to the nearest thousand is _________________. down 8,654,000 8. 1,517,142 rounded __________ to the nearest thousand is _________________. 1,517,000 down

  8. Periodic Review 2 Name __________________________ Place Value Rounding down changes the number to a lesser value. • Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. • Round up when the digit to the right of the selected digit is 5 or more. Round numbers. hundred thousands ten thousands ones thousands hundreds tens millions 1. 8,658,200 rounded __________ to the nearest thousand is _________________. down 8,658,000 2. 5,349,874 rounded __________ to the nearest ten thousand is _________________. 4 3 5 2 8 0 7 up , , 5,350,000 3. 5,285,004 rounded __________ to the nearesthundred thousand is _________________. up 5,300,000 4. 4,100,894 rounded __________ to the nearest thousand is _________________. 4,101,000 up 5. 7,827,008 rounded __________ to the nearest thousand is _________________. down 7,827,000 6. 4,582,041 rounded __________ to the nearest hundred thousand is _________________. up 4,600,000 7. 2,005,864 rounded __________ to the nearestten thousand is _________________. up 2,010,000 8. 7,684,387 rounded __________ to the nearestten thousand is _________________. 7,680,000 down

  9. Periodic Review 3 Name __________________________ Place Value Rounding down changes the number to a lesser value. • Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. • Round up when the digit to the right of the selected digit is 5 or more. Round numbers. hundred thousands ten thousands ones thousands hundreds tens millions 1. 7,334,450 rounded __________ to the nearest hundred thousand is _________________. down 7,300,000 4 3 5 2 8 0 7 , , 1,990,000 2. 1,987,235 rounded __________ to the nearestten thousand is _________________. up 3. 1,285,004 rounded __________ to the nearesthundred thousand is _________________. 1,300,000 up 4. 2,000,789 rounded __________ to the nearestten thousand is _________________. down 2,000,000 5. 5,667,235 rounded __________ to the nearest thousand is _________________. down 5,667,000 6. 2,824,679 rounded __________ to the nearest thousand is _________________. 2,825,000 up 7. 6,558,901 rounded __________ to the nearesthundred thousand is _________________. up 6,600,000 8. 5,921,598 rounded __________ to the nearest thousand is _________________. up 5,922,000

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