Numbers Through One Million
Write 294,160 in expanded form.
200,000+ 90,000 + 4,000 + 100 + 60
Name the value of the 8s in 880,000
800,000; 80,000
Use > ,< ,or = to compare the numbers.
912,706 _ 912,708
912,706 < 912,708
Round 638,365 to the nearest hundred thousand.
600,000
Write the number name for 44,444.
Forty-four thousand four hundred forty-four.
What is the number name of 331,872?
Three hundred thirty-one thousand, eight hundred seventy two.
Name the values of the 7s in 7,772.
7,000; 700; 70
Write which place values to use when comparing the numbers, 812,497 736,881
Hundred thousands.
Round 493,295 to the nearest ten thousand. Explain.
490,000. The digit in the ten thousands place is 9. The neighbor 3 will let it rest.
Is the value of the first 5 ten times as great as the value of the second 5 in 5,045? Explain.
Sample answer: No, the 5’s have to be next to each other for the value of one of the 5s to be ten times as great as the value of the other.
In a recent year, 284,604 fans attended the hockey playoffs in Chicago. What digit is in the thousands place in 284,604?
4
What is the relationship between the values of the 4s in 440,200?
400,000; 40,000; The value of the first 4 is ten times as great as the value of the second 4.
Morocco has a total area of 442,300 square kilometers. Uzbekistan has a total area of 447,400 square kilometers. Use >,<, or = to write to compare the two areas.
447,400 > 442300 or 442,300 < 447,400.
A city’s population is 421,906. Round 421,906 to the nearest hundred thousand and to the nearest thousand.
400,000 and 422,000
Vocabulary
A number written in expanded form is written as the sum of each _________.
Write 39,005 in expanded form.
Place value; 30,000 + 9,000 +5
What is the greatest number that has one comma when written with numerals AND number names?
999,999, Nine hundred ninety-nine thousand, nine hundred ninety-nine.
In 1934, there was an extreme drought in the Great Plains. In the number 1,934, is the value of the 9 in the hundreds place ten times the value of the 3 in the tens place? Explain.
Sample answer: No, the digits have to be the same for the value of the digit on the left to be 10 times as great as the value of the digit on the right.
An orchard in Maine has 5,287 apple trees. An orchard in Vermont has 5,729 trees. Use >,<, or = to write a comparison between the number of trees in each orchard.
5,287 < 5,729 or 5,729 > 5,287
A forest ranger correctly rounded the number of visitors to a park to be 120,000 visitors. Write a number that could be the actual number of visitors if he rounded to the nearest ten thousand.
Sample answer: 123,900
The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance if he correctly rounded to the nearest hundred.
Sample answer: 4,990
Two numbers have the same digit in the millions period, the same digit in the thousands period, and the same digit in the ones period. Do these numbers have the same value? Explain.
If the same digits appear in the same positions in both numbers, they have the same value.
In 448,244, how is the relationship between the first pair of 4s the same as the relationship between the second pair of 4s?
Sample answer: In both pairs, the value of the 4 on the left is 10 times the value of the 4 on the right. The first pair of 4s are in the hundred thousands and ten thousands places. The second pair of 4s are in the tens and ones places.
Explain how you know 437,160 is greater than 43,716.
Sample answer: I can look at the number of digits in each. The number with more digits is always greater.
Siobhan rounds 99,498 to the nearest thousand and gets 100,000. What mistake did Siobhan make?
Sample answer: The digit in the hundreds place is less than 5, so she should have rounded to 99,000.
A 5 digit number has the digits 0, 5, 7, 9, and 0. To the nearest thousand it rounds to 80,000. What is the number? Explain
Sample answer: 79,500. A number in the 90,000s or 50,000 would not round to 80,00. So the number must have a 7 in the ten thousands place. The 9 must be in the thousands place and a 5 must be in the hundreds place for it to round to 80,000.