Place Value
825,432
What is the hundreds place
Estimate by rounding
672 times 5=
325 times 5=
700 times 5= 3500
300 times 5= 1500
732
What is 700+30+2
5,275
What is the tens place
Estimate the product by rounding
372 times 6
632 times 4
400 times 6=2400
600 times 4=2400
Write in expanded form 8,725.
What is 8,000+700+20+5?
215,355
What is the thousands place
Estimate by rounding
542 times 2=
712 times 3=
500 times 2=1000
700 times 3= 2,100
Estimate by rounding
821 times 5=
788 times 6 =
800 times 5= 4,000
800 times 6= 4,800
A 4th-grade student says:
“458,921 is greater than 485,219 because 8 is greater than 5.”
Do you agree or disagree? Explain which place-value digit should be compared first and prove your answer.
Disagree. Compare the hundred-thousands digits first: 4 = 4. Then compare the ten-thousands digits: 5 = 8? Actually, 458,921 has 5, and 485,219 has 8, so 485,219 is greater.
A school orders 1,842 pencils for each of 4 grade levels.
A student estimates:
2,000 × 4 = 8,000 pencils.
Is this a reasonable estimate? Explain why rounding 1,842 to the nearest thousand makes sense.
Yes. 1,842 rounds to 2,000, so 2,000 × 4 = 8,000.
A 4th-grade student says:
“458,921 is greater than 485,219 because 8 is greater than 5.”
Do you agree or disagree? Explain which place-value digit should be compared first and prove your answer.
Disagree. Compare the hundred-thousands digits first: 4 = 4. Then compare the ten-thousands digits: 5 = 8? Actually, 458,921 has 5, and 485,219 has 8, so 485,219 is greater.
A student rounds 364,782 to the nearest ten thousand and says the answer is 360,000.
Do you agree? Explain your reasoning using the digit that determines the rounding.
Yes. The ten-thousands digit is 6 and the thousands digit is 4. Since 4 is less than 5, round down to 360,000.
Write the following in Expanded Form
7,779,076
What is 7,000,000+700+70+6