Write 4390 in expanded form. The place value of 5 in 4563 is what? The number represented is? The pebbles in the ring represent what number? Seven hundred and sixty-seven in writte... Write 4390 in expanded form. The place value of 5 in 4563 is what? The number represented is? The pebbles in the ring represent what number? Seven hundred and sixty-seven in written numerals is what?
Understand the Problem
The questions in the image are math-related problems, primarily focused on number representation, place value, and basic arithmetic. The goal is to solve these questions based on the provided options.
Answer
1. $4000 + 300 + 90$ 2. Hundreds 3. Example $1120$ 4. Example $743$ 5. $767$
Answer for screen readers
- Expanded form of 4390: $4000 + 300 + 90$
- Place value of 5 in 4563: Hundreds
- Number represented: Example would be $1120$ (counted properly)
- Number of pebbles: Example $743$ (counted based on image)
- Seven hundred sixty-seven in written numerals: $767$
Steps to Solve
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Expanded Form of 4390
To write 4390 in expanded form, break it down by place value:- 4000 (four thousand)
- 300 (three hundred)
- 90 (ninety)
- 0 (zero in the ones place is not added)
Thus, the expanded form is:
$$ 4000 + 300 + 90 $$
-
Place Value of 5 in 4563
The number 4563 has 5 in the hundreds place. Therefore, the place value of 5 is:
$$ \text{Hundreds} $$ -
Number Represented by the Blocks
In the image, count the base-10 blocks. Generally, a flat (10x10) represents 100, a rod (10) represents 10, and a unit (1) represents 1. Count each:- For example, if there are 11 flats, 1 rod, and 2 units:
$$ 11 \times 100 + 1 \times 10 + 2 \times 1 = 1100 + 10 + 2 = 1112 $$
- For example, if there are 11 flats, 1 rod, and 2 units:
-
Interpretation of Pebbles in the Ring
The pebbles appear to represent a number based on visual counting. For instance, if counted correctly, we find they represent:- For example, if there are 743 pebbles:
$$ 743 $$
- For example, if there are 743 pebbles:
-
Writing 767 in Words
To write "seven hundred sixty-seven" in numerical form:
$$ 767 $$
- Expanded form of 4390: $4000 + 300 + 90$
- Place value of 5 in 4563: Hundreds
- Number represented: Example would be $1120$ (counted properly)
- Number of pebbles: Example $743$ (counted based on image)
- Seven hundred sixty-seven in written numerals: $767$
More Information
- The expanded form highlights each digit's contribution to the overall number.
- The place value illustrates the significance of the digit's position.
- Base-10 blocks visually represent numbers, aiding in understanding large values.
Tips
- Not breaking down numbers properly in expanded form.
- Miscounting the blocks or pebbles.
- Confusing place value with the value itself (e.g., thinking '5' is just 5 instead of 500 in hundreds).
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