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1-1

100

What is a place value? 

Place value is the position of a digit in a number that tells the value of the digit. 

200

Name the place value of the bold number: 157,789,500

ten millions

300

Write 567,892 in expanded form. 

500,000 + 60,000 + 7,000 + 800 + 90 +2

400

Write the number name for 782,089.

Seven hundred eighty-two thousand, eighty-nine.

500

Write the number name for 456,678,999.

Four hundred fifty-six million, six hundred seventy-eight thousand, nine hundred ninety-nine

1-2

100

Explain the relationship between the 4's in 404.

400 is 100 times as great as 4.

200

Explain the relationship between the 8's in 808,000.

800,000 is 100 times as great as 8,000.

300

Explain the relationship between the 8's in 800,800.

800,000 is 1,000 times as great as 800.

400

There are two digits. They are the same number. They are 3 place values apart. Explain the relationship between the two digits. 

The digit that appears first is 1,000 times as great as the second digit. 

500

In your own words, describe what place value relationships are about.

Answers will vary.

1-3

100

What do these symbols mean: <, >, =?

< : less than 

> : greater than 

= : equal to

200

22,873    ?    22,774

22,873    >    22,774

300

Which place do we use to compare the numbers: 225,879 and 227,981.

thousands place

400

671,900,356    ?    671,901,356

671,900,356    <    671,901,356

500

Which place do we use to compare the numbers: 135,679,000 and 125,679,000.

ten thousands place

1-4

100

Round to the bold digit: 67, 123

67,000

200

Round to the bold digit: 325,156

330,000

300

Round to the hundreds place: 679,078

679,100

400

Round to the ten thousands place: 698,456

700,000

500

Round to the tens place: 999,999

1,000,000

1-5

100

What are some tips for writing a good math argument?

- Clear and complete explanation

- Correctly use math symbols

200

What is a math argument?

An argument disproves or proves a statement.

300

What is a conjecture?

A conjecture is a statement that is believed to be true but has not been proven.

400

Gerald's city has a population of three hundred thousand, twenty-seven. Gerald wrote the number 327,000. Gerald says that his city is larger than Orlando, which has a population of 326,000. Write a conjecture to prove or disprove Gerald's statement.

Gerald is incorrect. Three hundred thousand, twenty-seven as a number is 300,027, which is less than 326,000.

500

Eliza says Alaska's area (756,000 square km) is about ten times as large as Florida's area (7,649 square km). Write a conjecture to prove or disprove Eliza's statement.

Eliza is incorrect. When you round 756,000 to the hundred thousands place, you get 800,000. When you round 7,649 to the thousands place, you get 8,000. 800,000 is 100 times greater than 8,000.