Model Relationships
Braeden made a four-digit number with a 5 in the thousands place, a 5 in the ones place, a 6 in the tens place, and a 4 in the hundreds place. What was the number?
5,465
Select another way to show 403,871. Mark all that apply.
A) four hundred three thousand, eight hundred one
B) four hundred three thousand, seventy-one
C) four hundred three thousand, eight hundred seventy-one
D) 400,000 + 38,000 + 800 + 70 + 1
E) 400,000 + 3,000 + 800 + 70 + 1
F) 4 hundred thousands + 3 thousands + 8 hundreds + 7 tens + 1 one
C, E, & F
There were 13,501 visitors to a museum in June. What is this number rounded to the nearest ten thousand? Explain how you rounded.
10,000; possible explanation: there is a 1 in the ten thousands place. The digit to its right is 3, so the 1 stays the same.
Population of Sacramento, CA
Age in years Population Age in years Population
Under 5 35,010 20 to 34 115,279
5 to 9 31,406 35 to 49 92,630
10 to 14 30,253 50 to 64 79,271
15 to 19 34,219 65 and over 49,420
How many children are under 10 years old? Show your work.
66,416 children; 35,010 + 31,406 = 66,416
10,000 less than 24,576 is
>,<,=
1,000 less than 14,576
Greater than
Madison wrote the greatest number that can be made using each of these digits exactly once.
5,4,3,9,8,1
What number did she write?
985,431
Mrs. Arroyo bought 420 pencils for the school. If there are 10 pencils in a box, how many boxes did she buy?
42
The total season attendance for a college team’s home games, rounded to the nearest ten thousand, was 270,000. Which of the following could be the exact attendance.
a. 265,888
b. 260,987
c. 274,499
d. 206,636
A, C
Population of Sacramento, CA
Age in years Population Age in years Population
Under 5 35,010 20 to 34 115,279
5 to 9 31,406 35 to 49 92,630
10 to 14 30,253 50 to 64 79,271
15 to 19 34,219 65 and over 49,420
How many people are between the ages of 20 and 49? Show your work.
207,909 people; 115,279 + 92,630 = 207,909
A college baseball team had 3 games in April. Game one had an attendance of 14,753 people. Game two had an attendance of 20,320 people. Game three had an attendance of 14,505 people. Write the games in order from the least attendance to the greatest attendance
Game three, Game one, Game two;
14,505 < 14,753 < 20,320
Christian wrote the lowest number that can be made using each of these digits exactly once.
5,4,3,9,8,1
What number did he write?
134,589
Rename 540,000 two different ways.
Possible Answers: 5 hundred thousands and 4 ten thousands; 54 ten thousands; 540 thousands, 5,400 hundreds; 54,000 tens, 540,000 ones
Round 3,997,126 to the nearest ten thousand. Explain how you got your answer.
4,000,000; 7 is greater than 5 so I need to round up and everytime the 9 goes up I must regroup to the larger place value.
Population of Sacramento, CA
Age in years Population Age in years Population
Under 5 35,010 20 to 34 115,279
5 to 9 31,406 35 to 49 92,630
10 to 14 30,253 50 to 64 79,271
15 to 19 34,219 65 and over 49,420
How many more children are under the age of 5 than between the ages of 10 and 14? Show your work.
4,757 children; 35,010 − 30,253 = 4,757
Name: State: Height (ft)
14,294 University Peak AK
14,470 Humboldt Peak CO
14,064 White Mountain CA
Which mountain peak is between 14,000 ft and 14,200 ft?
14,064 White Mountain CA
Tell the value of the 5 in each of the following numbers:
45,678
757,234
13,564
3,450
5,000
50,000
500
50
Rewrite 3,000,000+80,000+6,000+700+2 in word form and standard form.
Three million, eighty six thousand, seven hundred two
3,086,702
Mt. Rushmore is located 5,725 feet above sea level. About how high in feet above sea level is Mt. Rushmore?
About 6,000 ft above sea level
New Mexico has an area of 121,298 square miles. California has an area of 155,779 square miles. How much greater is the area, in square miles, of California than the area of New Mexico? Show your work and explain how you know the answer is reasonable.
34,481 square miles; 155,779 − 121,298 = 34,481; I estimated the difference as 160,000 − 120,000, or 40,000. The answer is close to the estimate of 40,000, so it is reasonable
Select a number for ■ that will make a true comparison. Mark all that apply.
703,209 > ■
(A) 702,309 (C) 703,209 (E) 730,029
(B) 703,029 (D) 703,290 (F) 730,209
A, B
Explain why the 4 is greater than the 5 in the following number:
134,589
I know because the value of the 4 is 4,000 and the value of the 5 is 500.
Mrs. Belton bought 3,120 erasers for the school year. If there are 10 erasers in a box, how many boxes did she buy?
312
A male elephant weighs 6,728 pounds. A female elephant weighs 5,843 pounds. About how much do the two elephants weigh to the nearest thousand?
7,000+6,000 = 13,000 lbs.
During September and October, a total of 825,150 visitors went to Grand Canyon National Park. If 448,925 visitors went to the park in September, how many visitors went to the park in October? Show your work.
376,225 people; 825,150 − 448,925 = 376,225
Abigail’s car has 156,261 miles on the odometer. Noah’s car has 165,002 miles on the odometer. Ashlynne’s car has 145,834 miles on the odometer. Whose car has the most miles? Order the number of miles from least to greatest.
Noah’s car had the most miles
145,834 ; 156,261; 165,002