Question

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: Round 25,606,585 to nearest 100k

Identify the hundred thousand place (6), look at the ten thousand digit (0). Since 0 < 5, keep 6 and set lower digits to 0: $25,600,000$. Convert to scientific notation: $2.56 \times 10^7$.

Step2: Round 22,321,018 to nearest 100k

Identify the hundred thousand place (3), look at the ten thousand digit (2). Since 2 < 5, keep 3 and set lower digits to 0: $22,300,000$. Convert to scientific notation: $2.23 \times 10^7$.

Step3: Convert $3.42 \times 10^7$ to standard form

Move decimal 7 places right: $34,200,000$.

Step4: Convert $3.41 \times 10^7$ to standard form

Move decimal 7 places right: $34,100,000$.

Step5: Calculate the sum

Add the two standard form numbers: $34,200,000 + 34,100,000 = 68,300,000$.

Answer:

1. Franklin D. Roosevelt: $2.56 \times 10^7$; Thomas E. Dewey: $2.23 \times 10^7$
2. $68,300,000$