Understand Place
Value
Value
Write the value of the underlined digit.
749,263
40,000
Model each number. Draw to show your models. Then write each number a different way.
five thousand, two hundred thirteen
5,213
Round the number to the place of the underlined digit.
3,641
3,600
Compare.>,<,=
28,251 26,660
>
Your friend is 9 years old. Your neighbor is 90 years old. Your neighbor is how many times as old as your friend?
10 times
Standard form: 134,078
Word form:
Expanded form:
one hundred thirty-four thousand, seventy-eight
100,000 + 30,000 + 4,000 + 70 + 8
Round the number to the place of the underlined digit.
148,796
150,000
Compare >,<,=
400,000 + 60,000 + 1,000 + 300 + 20 + 9
461,329
=
Compare the values of the underlined digits.
20 and 200
The value of 2 in 200 is 10 times the value of 2 in 20.
Standard form:
Word form:
Expanded form: 600,000 + 40,000 + 2,000 + 50
642,050
six hundred forty-two thousand, fifty
Round the number to the place of the underlined digit.
426,384
426,400
Write which place to use when comparing the numbers
15,728
16,728
thousands
Compare the values of the underlined digits.
35,649 and 27,399
The value of 3 in 35,649 is 100 times the value of 3 in 23,799.
What is the number? The number has two periods. The thousands period is written as six hundred eight thousand in word form. The ones period is written as 600 + 80 in expanded form.
608,680
Round 70,628 to the nearest ten thousand
70,000
Your friend says 38,675 is less than 9,100 because 3 is less than 9. Is your friend correct? Explain
no; 38,675 is greater than 9,100 because 38 > 9.
A car can travel 50 miles per hour. A tsunami can travel 5,000 miles per hour. The tsunami is how many times faster than the car?
100 times faster
The fangtooth fish lives about 6,500 feet underwater. Newton reads this number as “six thousand five hundred.” Descartes reads the number as “sixty-five hundred.” Did they both read the number correctly? Explain.
yes; 6,500 is the same as 65 hundred. 65 × 100 = 6,500
Your friend says 5,953 rounds to 5,053 when rounded to the nearest hundred. Is your friend correct? Explain.
no; 953 rounds to 1,000 so 5,953 rounds to 6,000.
Your friend says she can tell which sum is greater without adding the numbers. How can she tell? 34,593 + 6,781
34,593 + 6,609
The fi rst addend in each sum is the same, so compare the second addends. 6,781 > 6,609