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
What do you notice?
What do you wonder?
For each problem, you have a balance and weights of 0.1 ounce, 0.01 ounce, and 0.001 ounce.
What is one set of weights you could use to balance the nugget? Explain or show your reasoning.
What is another set of weights you could use to balance the nugget? Explain or show your reasoning.
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.
266 of the 0.001 ounce weights
150 of the 0.01 ounce weights
27 of the 0.1 ounce weights
three 0.1 ounce weights, five 0.01 ounce weights, and eight 0.001 ounce weights
six 0.1 ounce weights and two 0.001 ounce weights
two 0.01 ounce weights and six 0.1 ounce weights
two hundred eighty three thousandths of an ounce
four hundred nine thousandths of an ounce
What is the value of each of the digits in the decimal 0.527?
How does the expanded form of 0.527 show the value of each digit in the decimal?
How many 0.01 ounce weights will balance one 0.1 ounce weight? Explain or show your reasoning.
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.
Explain or show your reasoning.
A gold nugget balances with 2 one hundredth ounce weights and 6 one thousandth ounce weights.
What is the weight of the nugget? Write your answer as a decimal.
What is a different set of weights that will balance the nugget?
Explain or show your reasoning.
Explain or show your reasoning.
Explain or show your reasoning.