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Place Value with Materials

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Place Value with Materials

A community science team is preparing supplies for a field trip. Use place-value thinking to check crate labels, regroup quantities and spot errors. You may sketch base-ten blocks or use place-value columns to show your reasoning.

Read the crate labels

Each crate label records a quantity. Pay attention to the value of each digit, including zeros and decimal places.

1.A crate is labelled 48,306. What is the value of the digit 8?
  • 8
  • 80
  • 800
  • 8,000
2.Write 70,405 in expanded form, using addition to show the value of each non-zero digit.
3.A label shows 0.684 kg. What is the value of the digit 8?
  • 8 hundredths (0.08)
  • 8 tenths (0.8)
  • 8 thousandths (0.008)
  • 8 units
4.Put these four crate weights in order from lightest to heaviest: 2.07 kg, 2.7 kg, 2.17 kg, 2.107 kg. Show how place value helps you compare them.
22.12.22.32.42.52.62.72.82.93

Build, regroup and estimate

The team combines supplies and checks that totals make sense before sending them out.

5.Use place-value columns or a sketch of base-ten blocks to calculate 3,758 + 2,469. Show any regrouping.
6.A storage tub holds 5,000 bolts. The team has packed 3,684. How many more bolts are needed to fill the tub? Show a subtraction strategy that uses place value.
7.Estimate 19,842 + 30,376 by rounding each number to the nearest thousand. Then find the exact total and say whether your estimate is sensible.
8.A label printer turns 6.4 kg into 6.40 kg. True or false: the weight has changed because a zero was added.
TrueFalse

Catch the label errors

Some labels have been printed incorrectly. Explain the correction clearly enough for the packing team to fix them.

9.A worker writes 52,608 as “5 ten-thousands + 2 thousands + 6 tens + 8 ones”. Is the description correct? If not, correct it.
10.Which number is 100 times as large as 3.72? Explain what happens to each digit’s place value.
0100200300400
11.A team member says 0.305 is greater than 0.35 because 305 is greater than 35. Identify the mistake and state which decimal is greater.
12.A crate’s mass is 12.486 kg. Round it to the nearest tenth and the nearest hundredth. Explain which digit decides each rounding.

3 printable pages

  • Place Value with Materials, page 1 of 3: Read the crate labels

    Page 1

  • Place Value with Materials, page 2 of 3: Build, regroup and estimate, Catch the label errors

    Page 2

  • Place Value with Materials, page 3 of 3: 10. Which number is 100 times as large as 3.72? Explain what happens to each digit’s place

    Page 3

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