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Unit 5 - Lesson 4 - Grade 5: Illustrative Mathematics

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27 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Grade 5 Unit 5

Lesson 4: Explore Place Value Relationships

CC BY 2021 Illustrative Mathematics

Grade 5 Unit 5

Lesson 4: Explore Place Value Relationships

CC BY 2021 Illustrative Mathematics

Lesson: Explore Place Value Relationships

Notice and Wonder: Maintain Your Balance (Warm Up)

Balance the Weight

Weights and Place Values

Comparing Place Values with Weights

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Cool Down: Worth its Weight in Gold

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1.

What do you notice?

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2.

What do you wonder?

For each problem, you have a balance and weights of 0.1 ounce, 0.01 ounce, and 0.001 ounce.

A gold nugget weighs 0.2 ounces.

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3.

What is one set of weights you could use to balance the nugget? Explain or show your reasoning.

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4.

What is another set of weights you could use to balance the nugget? Explain or show your reasoning.

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5.

How many 0.01 ounce weights would you need to balance the nugget?

What about 0.001 ounce weights?

For each problem, you have a balance and weights of 0.1 ounce, 0.01 ounce, and 0.001 ounce.

Write a decimal number for the weight of the gold nuggets that balanced with:

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6.

266 of the 0.001 ounce weights

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7.

150 of the 0.01 ounce weights

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8.

27 of the 0.1 ounce weights

Weights are used to balance some gold nuggets. Write the weight of each gold nugget in expanded form.

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9.

three 0.1 ounce weights, five 0.01 ounce weights, and eight 0.001 ounce weights

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10.

six 0.1 ounce weights and two 0.001 ounce weights

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11.

two 0.01 ounce weights and six 0.1 ounce weights

Here are the weights of some gold nuggets in word form. Write the weights in expanded form.

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12.

two hundred eighty three thousandths of an ounce

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13.

four hundred nine thousandths of an ounce

A gold nugget weighs 0.527 ounces.

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14.

What is the value of each of the digits in the decimal 0.527?

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15.

How does the expanded form of 0.527 show the value of each digit in the decimal?

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16.

How many 0.01 ounce weights will balance one 0.1 ounce weight? Explain or show your reasoning.

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17.

How many 0.001 ounce weights will balance a 0.1 ounce weight? Explain or show your reasoning.

The table shows the weights of 3 of the gold nuggets Diego and his friends found panning for gold. Fill in the blanks.

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18.
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19.

Explain or show your reasoning.

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20.
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22.
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A gold nugget balances with 2 one hundredth ounce weights and 6 one thousandth ounce weights.

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26.

What is the weight of the nugget? Write your answer as a decimal.

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27.

What is a different set of weights that will balance the nugget?

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21.

Explain or show your reasoning.

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23.

Explain or show your reasoning.

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24.
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25.

Explain or show your reasoning.