This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Here are the solutions to the problems.
3. Show 19.601 two ways.
Way 1: Place Value Chart | Tens | Ones | . | T (Tenths) | H (Hundredths) | Th (Thousandths) | | :--- | :--- | :- | :--------- | :------------- | :--------------- | | 1 | 9 | . | 6 | 0 | 1 |
Way 2: Expanded Form
4. Make a Connection Write an expression represented by the model. Then write the decimal in standard form.
Step 1: Identify the value of each type of block. Assuming the large squares represent 1 whole, the rods represent 0.1 (tenths), the small cubes represent 0.01 (hundredths), and the tiny cubes represent 0.001 (thousandths). • 2 large squares: • 8 rods: • 6 small cubes: • 4 tiny cubes:
Step 2: Write the expression. The expression is the sum of these values.
Step 3: Write the decimal in standard form. Add the values together. The standard form is .
5. Model Real Life The mass of an African penguin is 3.599 kilograms. Write three expressions that describe the mass of the penguin.
Here are three expressions for 3.599 kilograms:
Expanded form (decimal):
Expanded form (fraction):
Word form: Three and five hundred ninety-nine thousandths kilograms.
6. Find the measure of the combined angle.
Step 1: Identify the given angles. The two angles are and .
Step 2: Add the angles to find the combined measure. The combined angle is .
7. Find the measure of the combined angle.
Step 1: Identify the given angles. The two angles are and .
Step 2: Add the angles to find the combined measure. The combined angle is .
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Place Value Chart | Tens | Ones | . | T (Tenths) | H (Hundredths) | Th (Thousandths) | | :--- | :--- | :- | :--------- | :------------- | :--------------- | | 1 | 9 | .
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.