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Unit 5 - Lesson 4 - Grade 5: Illustrative Mathematics

Last updated 9 months ago
27 questions
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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)

1

What do you notice?

1

What do you wonder?

Balance the Weight

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

1

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

1

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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266 of the 0.001 ounce weights

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150 of the 0.01 ounce weights

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27 of the 0.1 ounce weights

Weights and Place Values

Weights are used to balance some gold nuggets. Write the weight of each gold nugget in expanded form.
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three 0.1 ounce weights, five 0.01 ounce weights, and eight 0.001 ounce weights

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six 0.1 ounce weights and two 0.001 ounce weights

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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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two hundred eighty three thousandths of an ounce

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four hundred nine thousandths of an ounce

A gold nugget weighs 0.527 ounces.
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What is the value of each of the digits in the decimal 0.527?

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

Comparing Place Values with Weights

1

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

1

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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Nugget A weighs_______ times as much as Nugget B.
1

Explain or show your reasoning.

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Nugget A weighs_______ times as much as Nugget C.
1

Explain or show your reasoning.

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Nugget C weighs_______ times as much as Nugget B.
1

Explain or show your reasoning.

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Nugget C weighs_______ times as much as Nugget A.
1

Explain or show your reasoning.

Cool Down: Worth its Weight in Gold
A gold nugget balances with 2 one hundredth ounce weights and 6 one thousandth ounce weights.
1

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

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