Representing Numbers
Write 56,400 in word form.
Fifty-six thousand four hundred.
Fill in the blank with <, >, or = to make the statement true:
587,207 ___ 591,025
587,207 < 591,025
The distance from Town A to Town B is 30 miles. The distance from Town A to Town C is 10 times as far. How many miles is it from Town A to Town C?
300 miles.
Round 54,382 to the nearest ten.
54,380
The distance between City A and City B is 225 miles. The distance between City A and City C is 10 times as far. How many miles is it between City A and City C?
2,250 miles.
Which number is written in word form as “three hundred five thousand nine hundred”?
305,900.
Which symbol makes this statement true?
127,937 ___ 127,973
127,937 < 127,973.
The length of a pencil is 7 centimeters. The length of a ruler is 10 times as long. How long is the ruler?
70 centimeters
Round 54,382 to the nearest hundred.
54,400
In 2016, a school district in City M had 450,325 students and a district in City N had 608,492 students.
Which city had more students?
City N.
Select all the ways to represent 47,000.
A. forty-seven thousand
B. 4 thousands 7 hundreds
C. 47 thousands
D. 47,000
A and D
Circle the greater number: 386,981 or 386,898.
386,981
A stadium holds 4,500 people. A nearby arena holds 10 times as many. How many people does the arena hold?
45,000 people
Round 54,382 to the nearest thousand.
54,000
Using the numbers in the previous clue (450,325 and 608,492), how many more students did City N have?
158,167 more students
A number is written as “six hundred eight thousand, two hundred.” What is the number in standard form?
608,200
Write a number that is greater than 450,000 but less than 460,000
455,321
The distance between City X and City Y is 140 miles. The distance between City X and City Z is 10 times as far.
a. How far is City Z from City X?
b. Explain using place value.
a. 1,400 miles.
b. Multiplying by 10 moves each digit one place to the left (hundreds to thousands, tens to hundreds).
A number rounds to 300,000 when rounded to the nearest hundred-thousand. Which number could it be?
Any number from 250,000 to 349,999, for example 276,482.
Clare ran 40 yards in 6.8 seconds. Han ran 40 yards in 6.9 seconds.
Andre finished in less time than Han but more time than Clare.
What is one possible time for Andre?
Any time between 6.8 and 6.9 seconds, such as 6.85 seconds.
You read a number as “nine hundred two thousand, eighty-five.”
a. Write it in standard form.
b. Tell the value of the digit 9.
a. 902,085
b. The 9 has a value of 900,000
The population of City A is 823,409 and City B is 832,094.
a. Which city has the greater population?
b. How do you know from the digits?
a. City B.
b. The hundred-thousands and ten-thousands digits are the same, but City B has 2 thousands vs. City A’s 3 hundreds (2,094 > 409).
A factory makes 2,350 toy cars in one day. It makes 10 times as many toy blocks in a day.
a. How many toy blocks does it make?
b. What digit shows the “10 times as many” change?
a. 23,500 toy blocks.
b. Each digit shifted left one place; the 2 moved from thousands to ten-thousands place.
A number is 287,164.
a. Round it to the nearest ten-thousand.
b. Round it to the nearest thousand.
a. 290,000
b. 287,000
A city has 912,478 people.
a. How many more people does it need to have 1,000,000 people?
b. Explain or show your reasoning.
a. 87,522 people.
b. 1,000,000 − 912,478 = 87,522