Question

Number & Number Sense *NO CALCULATOR*
EXAMPLES
Scientific Notation
Standard Form
Positive Exponent (Number is greater than 1)
5.3 4 "x" 10 cubed "M" "o" "v" "e" "t" "h" "e" "d" "e" "c" "i" "m" "a" "l" 3 "p" "l" "a" "c" "e" "s" "t" "o" "t" "h" "e" "r" "i" "g" "h" "t"
5 , 340
Negative Exponent (Number is less than 1)
8.0 0 7 "x" 10 to the negative 4th power "M" "o" "v" "e" "t" "h" "e" "d" "e" "c" "i" "m" "a" "l" 4 "p" "l" "a" "c" "e" "s" "t" "o" "t" "h" "e" "l" "e" "f" "t"
PRACTICE: Consider the table. Fill in the blanks.

Scientific Notation
Standard Notation
3.2 1 "x" 10 to the 5th power
Math Input:
4.9 5 "x" 10 to the negative 3rd power
Math Input:
Math Input:
1 , 540 , 000
Math Input:

Answer 1

Let's convert the scientific notation into standard notation and fill in the blanks.

1. **Scientific Notation:**
- For \(3.21 \times 10^5\):
- Move the decimal point 5 places to the right.
- This gives us **321,000**.

2. **Scientific Notation:**
- For \(4.95 \times 10^{-3}\):
- Move the decimal point 3 places to the left.
- This results in **0.00495**.

3. **Standard Notation:**
- For **1,540,000**:
- In scientific notation, we express this as \(1.54 \times 10^6\).

Putting it all together:

| Scientific Notation | Standard Notation |
|-----------------------------|---------------------|
| \(3.21 \times 10^5\) | 321,000 |
| \(4.95 \times 10^{-3}\) | 0.00495 |
| 1,540,000 | \(1.54 \times 10^6\) |

Feel free to ask if you need further assistance!