4th Grade - Round Numbers To 100,000s Place

 Grade Level: 4th Skill: Numbers - large, small, prime and negative Topic: Round Numbers to 100,000s Place Goal: Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Skill Description: Round whole numbers to the millions place value.

Building Blocks/Prerequisites

Sample Problems

(1)

Round to the nearest thousand:

415,825,065

(415,825,000)

(2)

Round to the nearest ten thousand

54,385,652

(54,390,000)

(3)

Round to the nearest hundred thousand

978,541,526

(978,500,000)

(4)

Use the number line to round to the nearest thousand for:

56,800

-----------------------------------------------------------•--------------------•

55,000 56,000 57,000 58,000 59,000

(57,000)

(5)

Use the table to answer the following question:

Number of Puppies in California Cities

 City Number of Puppies Los Angeles 7,071,000 San Diego 3,942,108 Orange County 9,812,000 Fresno 3,642,193

Round the number of puppies in Los Angeles to the nearest hundred thousand.

1. 7,000,000

2. 7,171,000

3. 7,100,000

(c)

Learning Tips

 (1) Steps to rounding: Identify the place of the digit that you need to round Look at the digit to its right, if it is 0, 1,2,3, or 4, the digit you are rounding stays the same; if the digit to the right is 5,6,7,8, or 9, the digit you are rounding increases by one. The digits after the one you have rounded become zeros (2) Explicitly identify the role of each digit in the number, good strategy to eliminate errors. Underline the digit that is to be rounded Circle the digit that is the neighbor to the right Put an x on each digit that will become zero The numbers to the left of the rounded number stay the same (3) Play a matching game: Write numbers on cards with instructions. For example, (1,234 is written on a card) The instruction will say “Round the number to the nearest ten”. The player will have to match the card with another card that has its answer. (Concentration-type game) (4) In the beginning stages, your child can color code the numbers to identify numbers to be rounded and its neighbor. Black- digits that stay the same Blue- digit to be rounded Red-neighbor to its right Green-numbers that become zeros (5) Review 3 forms of writing a number: Standard form- write numbers ( 1,349) Word form- write with words (one thousand, three hundred forty-nine) Expanded form- add place values (1,000 + 300 + 40 + 9)

Extra Help Problems

(1)

Round the number to the place value of the underlined digit:

109,663,010

(110, 000, 000)

(2)

Round the number to the place value of the underlined digit:

976,510,000

(976,500,000)

(3)

Round the number to the place value of the underlined digit:

493,742,263

(490,000,000)

(4)

Round the number to the place value of the underlined digit:

688,435,284

(700,000,000)

(5)

Round the number to the nearest ten:

248,136

(248,140)

(6)

Round the number to the nearest hundred:

288,653

(288,700)

(7)

Round the number to the nearest ten thousand:

45,187,965

(45,188,000)

(8)

Round the number to the nearest hundred thousand:

754,845,250

(754,800,000)

(9)

Which digit determines if the number to be rounded increases by one or stay the same?

1. the last digit in the number

2. the digit to the right of the one to be rounded

3. the lowest digit

(b)

(10)

Which number does not determine if the number increases by one:

1. 0

2. 6

3. 9

(a)

(11)

Use the number line to round the following number to the nearest ten thousand: 658,845

-----------------------------------------------------------•--------------------•

630,000 640,000 650,000 660,000 670,000

(660,000)

(12)

Use the number line to round the following number to the nearest hundred thousand: 2,554,847

-----------------------------------------------------------•--------------------•

2,400,000 2,500,000 2,600,000 2,700,000 2,800,000

(2,600,000)

(13)

Which number rounds to 1,280,000

1. 1,285,897

2. 1,114,987

3. 1,279,433

(c)

(14)

Which number rounds to 127,234,700

1. 127,000,000

2. 127,234,742

3. 1,272,742

(b)

(15)

Add the numbers below. Round the sum to the nearest million.

1,366,350

+ 7,542,187

(8,908,537 = 9,000,000)

(16)

Subtract the numbers below. Round the difference to the nearest thousands.

5,394,223

- 478,394

(4,915,829 = 4,916,000)

(17)

Round the following number to the nearest ten thousands:

99,999,000

(1,000,000)

(18)

Use the table to answer the following questions:

 School Students Vanguard 320,564 Osbourne 762,987 Chafee 338,543 Luvee 762,990

Which school has the greatest number of students? Round the answer to the nearest ten thousand.

(Luvee 762,990 = 760,000)

(19)

Use the table to answer the following questions:

 School Students Vanguard 320,564 Osbourne 762,987 Chafee 338,543 Luvee 762,990

How many students attend Vanguard and Chafee? Round the sum to the nearest hundred.

(659,107 = 659,100)

(20)

Use the table to answer the following questions:

 School Students Vanguard 320,564 Osbourne 762,987 Chafee 338,543 Luvee 762,990

How many students attend all four schools? Round the sum to the nearest million.

(2,185,084 = 2,000,000)

(21)

Round the greatest number to the thousands:

5,476,301 6,385,738

(6,386,000)

(22)

Round the lowest number to the hundred thousands:

14,358,960 667,148,999

(14,400,000)

(23)

Round one hundred twenty four thousand, eight hundred twenty-nine to the nearest ten thousand.

(124,829 = 120,000)

(24)

Write the following number in standard form. Round to the nearest thousand.

200,000 + 3,000 + 300 + 50 +3

(203,353 = 203,000)

(25)

What means the same as rounding:

1. counting

2. multiply

3. estimate

(c)