Numbers through 1 Million
Place Value Relationships
Comparing Numbers
Rounding Numbers
Constructing Arguments (do in order)
100

Read the number 43,702 and write it in word form

forty-three thousand seven hundred two

100

What are the values of the 7 in 7,700?

7,000 and 700

100

Compare: 32,467  O  32,467

32,467 = 32,467

100

Round 128,995 to the nearest thousand.

129,000

100

What is a conjecture?

A statement believed to be true but hasn't been proven yet.

200

Read the number 331,872 and write the number name

three hundred thirty-one thousand, eight hundred seventy-two

200

What are the values of the 6 in 926,361?

6,000 and 60

200

Compare: 22,873  O  22,774

22,873  >  22,774

200

Round 321,679 to the nearest ten thousand

320,000

200

The population of Gerald's city is three hundred thousand, twenty-seven. Gerald wrote the number as 327,000. Emily lives in a city that has a population of three hundred sixteen thousand, forty-two. Gerald concluded that his city's population is greater than the population of Emily's city. Does Gerald's explanation makes sense? Identify Gerald's error in his thinking.

Gerald incorrectly wrote the standard form of three hundred thousand, twenty-seven. It should be 300,027; not 327,000.

300

Write the expanded form for the nuber:7,622

7,000+600+20+2 = 7,622

300

Is the value of the first 5 ten times as great as the value of the second 5 in 5,045? explain

No because the 5 in the thousands place is 1,000 times as great as the 5 in the ones place: 5,000= 5 x 1,000.

300

Which place value position would you use to compare the numbers: 394,284 and 328,234?

the ten thousands place, 90,000>20,000.

300

Round 956,000 to the nearest hundred thousand

1,000,000

300

The population of Gerald's city is three hundred thousand, twenty-seven. Gerald wrote the number as 327,000. Emily lives in a city that has a population of three hundred sixteen thousand, forty-two. Gerald concluded that his city's population is greater than the population of Emily's city. Construct a math argument that explains why Gerald did not write the population of his city correctly.

Gerald accidentally put the twenty-seven ones in the ten thousand and thousands place. The number should be 300,027 not 327,000.

400

Read the number 300,000+10,000+6,000+20+9 and write the standard form

316,029

400

Vin says that in 4,346, one 4 is 10 times as great as the other 4. Is Vin correct? Explain.

Vin is incorrect because the 4s are not next to each other. The 4 in the thousands place is 100x greater than the 4 in the tens place.

400

Which place value position would you use to compare the numbers 812,497 and 736,881?

The hundred thousands place, 800,000 > 700,000.

400

A forest ranger correctly rounded the number of visitors to a park to be 130,000 visitors. Write a number that could be the actual number of visitors if he rounded to the nearest ten thousand.

134,000; 133,000; 132,000; 131,000; 130,000; 129,000; 128,000; 127,000; 126,000; 125,000

400

The population of Gerald's city is three hundred thousand, twenty-seven. Gerald wrote the number as 327,000. Emily lives in a city that has a population of three hundred sixteen thousand, forty-two. Gerald concluded that his city's population is greater than the population of Emily's city. Correct Gerald's argument. Explain how to compare the populations of Gerald's and Emily's city.

You need to write the standard form correctly and compare the numbers 300,027 and 316,042 in the ten thousands place. 0 < 10,000. Emily's city has more people.

500

In 2016, the world's oldest tree was 5,066 years old. Write the number that is one hundred more using word form.

five thousand, one hundred sixty-six
500
In 448,244, how is the relationship between the first pair of 4s, the same as the relationship between the second pair of 4s?

They are the same because 400,000 is ten times greater than 40,000 and 40 is ten times greater than 4.

500

An orchard in Maine has 5,287 apple trees. An orchard in Vermont has 5,729 apple trees. Use <, >, or = to write a comparison between the number of trees in each orchard.

5,287 < 5,729  and 5,729 > 5,287

500

Liz attended class every day since she started school as a kindergartner. She says she has been in school for about 1,000 days. What numbers could be the actual number of school days if Liz rounded to the nearest ten?

1,004; 1,003; 1,002; 1,001; 1,000; 999; 998; 997; 996; 995

500

The population of Gerald's city is three hundred thousand, twenty-seven. Gerald wrote the number as 327,000. Emily lives in a city that has a population of three hundred sixteen thousand, forty-two. Gerald concluded that his city's population is greater than the population of Emily's city. Round Gerald's city and Emily's city population to the nearest ten thousands place. What would be the rounded population numbers for each city? Explain

Gerald's city's actual population is 300,027 not 327,000; so it would round to 300,000. Emily's city population is 316,042 so it would round to 320,000.

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