Question

identify the answer choice that is not equal to the given number.

1. 18,500

a. 1.85 × 10³
b. 0.185 × 10⁵
c. 18,000 + 500

1. 1.36 × 10⁴

a. 13.6 × 10³
b. 10,000 + 3,600
c. 0.0136 × 10⁵

1. 3.95 × 10⁶

a. 390,000 + 5,000
b. 0.395 × 10⁷
c. 395 × 10⁴

1. 156,000

a. 0.156 × 10⁶
b. 15.6 × 10⁵
c. 156 × 10³

1. franklin d. roosevelt received 25,606,585 votes in the 1945–1948 presidential elections and thomas e. dewey received 22,321,018 votes. round both of these figures to the nearest hundred thousand and write them in scientific notation.
2. john f. kennedy won 3.42 × 10⁷ votes in 1960 and richard m. nixon won 3.41 × 10⁷ votes. write the sum of these amounts in standard form.

Explanation:

Step1: Evaluate 13's options

Given number: $18,500$

• a. $1.85 \times 10^3 = 1850$
• b. $0.185 \times 10^5 = 18500$
• c. $18,000 + 500 = 18500$

Step2: Evaluate 14's options

Given number: $1.36 \times 10^4 = 13600$

• a. $13.6 \times 10^3 = 13600$
• b. $10,000 + 3,600 = 13600$
• c. $0.0136 \times 10^5 = 1360$

Step3: Evaluate 15's options

Given number: $3.95 \times 10^6 = 3950000$

• a. $390,000 + 5,000 = 395000$
• b. $0.395 \times 10^7 = 3950000$
• c. $395 \times 10^4 = 3950000$

Step4: Evaluate 16's options

Given number: $156,000$

• a. $0.156 \times 10^6 = 156000$
• b. $15.6 \times 10^5 = 1560000$
• c. $156 \times 10^3 = 156000$

Step5: Round 17's values

Round to nearest hundred thousand:

• Roosevelt: $25,606,585 \approx 25,600,000 = 2.56 \times 10^7$
• Dewey: $22,321,018 \approx 22,300,000 = 2.23 \times 10^7$

Step6: Calculate 18's sum

Convert to standard form first:

• Kennedy: $3.42 \times 10^7 = 34200000$
• Nixon: $3.41 \times 10^7 = 34100000$

Sum: $34200000 + 34100000 = 68300000$

Answer:

1. a. $1.85 \times 10^3$
2. c. $0.0136 \times 10^5$
3. a. $390,000 + 5,000$
4. b. $15.6 \times 10^5$
5. Roosevelt: $2.56 \times 10^7$, Dewey: $2.23 \times 10^7$
6. $68,300,000$