rounding
Round 2,496 to the nearest hundreds.
2,500
Show your work: 2,493 - 2,195
298
What Went Wrong?
A student solves:
8,432 − 2,765 = 6,333
They say their answer is correct.
Do you agree? If not, explain the mistake and give the correct answer.
No. The correct answer is 5,667. The student likely made an error when regrouping.
Sophia has 1,930 apples and Amber has 1,295 apples. How many more apples does Amber have? (remember your units)
635 apples
What is 52,692 in expanded form?
50,000 + 2,000 + 600 + 90 + 2
Round 925,914 to the nearest ten thousands.
930,000
Show your work: 3,028 - 1,492
1,536
Kadyn solves:
9,876 − 4,321 = 5,555
She says, “My answer is reasonable because 10,000 − 4,000 = 6,000, and 5,555 is close to 6,000.”
Do you agree with Maya? Explain.
Answer: Yes. Her exact answer is reasonably close to the estimate of 6,000.
A school collected 4,568 cans in September and 3,729 cans in October. How many cans did they collect in all? (remember your units)
8,297 cans
What is 32,592 in word form?
thirty two thousand five hundred and ninety two
Round 104,285,824 to the nearest hundreds.
104,285,800
Show your work: 8,000 - 1,592
6,408
A student solves: 7,000 - 2,586 = 5,586
What mistake did they make? How would you explain how to fix it?
Student did not regroup correctly.
Correct answer: 4,414
A stadium can hold 50,000 people. There are 37,846 people at a game. How many more people could fit? (remember units)
12,154 people
What is 824,591 in all three forms?
standard: 824,591
expanded: 800,000 + 20,000 + 4,000 + 500 + 90 + 1
word: eight hundred twenty four thousand five hundred and ninety one
Round 105,295 to the nearest thousands AND nearest tens.
thousands: 105,000
tens: 105,260
Show your work and explain your thinking: 9,004 - 3,294
5,710
explanation up to teacher's discretion
"If I round both numbers before subtracting, I will get the exact answer"
Is this correct? Explain your thinking and give an example.
No. Rounding changes the numbers, so it usually gives an estimate, not the exact answer.
Example: 4,678 − 2,321 = 2,357, but rounding gives 4,700 − 2,300 = 2,400.
A school has 6,784 students at all of its schools and 2,315 students at one campus. About how many students are at the other campuses? Estimate to the hundreds. (remember units)
about 4,500 students
what is 014,359 in all three forms?
standard: 14,359
expanded: 10,000 + 4,000 + 300 + 50 + 9
written: fourteen thousand three hundred and fifty nine
Round 19,592,105,783 to the nearest millions, nearest ten thousands, and nearest hundreds.
millions: 19,592,000,000
ten thousands: 19,592,110,000
hundreds: 19,592,105,800
Show your work and explain your thinking: 105,901 - 42,592
63,309
explanation up to teacher's discretion
“When you subtract a number, the answer always has to be smaller than both numbers.”
Is this correct? Explain and give an example to prove your answer.
Disagree. In subtraction, the difference is smaller than the starting number, but it isn't necessarily meaningful to say it's smaller than both numbers in every context. For example, 10 − 3 = 7, and 7 is larger than 3.
Fremont received 48,765 packages on Monday and 36,892 on Tuesday. About how many packages did it receive altogether? Estimate to the thousands.(remember units)
about 86,000 packages
What is 5,142,981 in all three forms?
standard: 5,142,981
expanded: 5,000,000 + 100,000 + 40,000 + 2,000 + 900 + 80 + 1
written: five million one hundred forty two thousand nine hundred and eighty one