Homework (Show all work) 1. Convert the following numbers to scientific notation: a. 1,700 b. 0.005 c. $$ 2,300,000 $$ 2. Solve the following problems: a. The height of a building is 450 meters. Write this in scientific notation. b. A rock sample weighs 0.00025 Kilograms. Express this in scientific notation.

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## **1. Convert the following numbers to scientific notation:**

### **a. 1,700**

**Step 1:** Identify the decimal point in the number. For 1,700, it's implicitly after the last zero: 1700.

**Step 2:** Move the decimal point so that only one non-zero digit remains to the left of the decimal.

- Move the decimal 3 places to the left: 
  $$
  1700 \rightarrow 1.700
  $$

**Step 3:** Determine the exponent based on how many places you moved the decimal. Since we moved it 3 places to the left, the exponent is +3.

**Scientific Notation:** 
$$
1.7 \times 10^3
$$

---

### **b. 0.005**

**Step 1:** Identify the decimal point: 0.005.

**Step 2:** Move the decimal so that only one non-zero digit remains to the left.

- Move the decimal 3 places to the right:
  $$
  0.005 \rightarrow 5.0
  $$

**Step 3:** Determine the exponent. Since we moved the decimal 3 places to the right, the exponent is -3.

**Scientific Notation:** 
$$
5.0 \times 10^{-3}
$$

*Alternatively, it's common to write it as $$5 \times 10^{-3}$$.*

---

### **c. $$2,300,000$$**

**Step 1:** Identify the decimal point: 2300000.

**Step 2:** Move the decimal so that only one non-zero digit remains to the left.

- Move the decimal 6 places to the left:
  $$
  2300000 \rightarrow 2.3
  $$

**Step 3:** Determine the exponent. Since we moved the decimal 6 places to the left, the exponent is +6.

**Scientific Notation:** 
$$
2.3 \times 10^6
$$

---

## **2. Solve the following problems:**

### **a. The height of a building is 450 meters. Write this in scientific notation.**

**Step 1:** Identify the number: 450 meters.

**Step 2:** Move the decimal so that only one non-zero digit remains to the left.

- Move the decimal 2 places to the left:
  $$
  450 \rightarrow 4.50
  $$

**Step 3:** Determine the exponent. Since we moved the decimal 2 places to the left, the exponent is +2.

**Scientific Notation:**
$$
4.5 \times 10^2 \text{ meters}
$$

---

### **b. A rock sample weighs 0.00025 kilograms. Express this in scientific notation.**

**Step 1:** Identify the number: 0.00025 kilograms.

**Step 2:** Move the decimal so that only one non-zero digit remains to the left.

- Move the decimal 4 places to the right:
  $$
  0.00025 \rightarrow 2.5
  $$

**Step 3:** Determine the exponent. Since we moved the decimal 4 places to the right, the exponent is -4.

**Scientific Notation:**
$$
2.5 \times 10^{-4} \text{ kilograms}
$$

---

**Summary of Answers:**

1. **Scientific Notation:**
   - a. $$1,700 = 1.7 \times 10^3$$
   - b. $$0.005 = 5 \times 10^{-3}$$
   - c. $$2,300,000 = 2.3 \times 10^6$$

2. **Problems:**
   - a. Height of building: $$4.5 \times 10^2$$ meters
   - b. Weight of rock sample: $$2.5 \times 10^{-4}$$ kilograms

---

Feel free to ask if you have any more questions or need further clarification!
1. **Scientific Notation:** - a. 1,700 = 1.7 × 10³ - b. 0.005 = 5 × 10⁻³ - c. 2,300,000 = 2.3 × 10⁶ 2. **Problems:** - a. 450 meters = 4.5 × 10² meters - b. 0.00025 kg = 2.5 × 10⁻⁴ kg

Homework (Show all work)

Convert the following numbers to scientific notation:
a. 1,700
b. 0.005
c.

Solve the following problems:
a. The height of a building is 450 meters. Write this in scientific notation.
b. A rock sample weighs 0.00025 Kilograms. Express this in scientific notation.

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Homework (Show all work) Convert the following numbers to scientific notation: a. 1,700 b. 0.005 c. Solve the following problems: a. The height of a building is 450 meters. Write this in scientific notation. b. A rock sample weighs 0.00025 Kilograms. Express this in scientific notation.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Arithmetic Questions

Homework (Show all work)

Convert the following numbers to scientific notation:
a. 1,700
b. 0.005
c.

Solve the following problems:
a. The height of a building is 450 meters. Write this in scientific notation.
b. A rock sample weighs 0.00025 Kilograms. Express this in scientific notation.