In 2010, approximately 4.6 × 107

tons of paper were recycled. In the same year, an estimated 2,600,000 tons of plastics were recycled. How many more tons of paper was recycled than plastic?(1 point)

1 answer

To find out how many more tons of paper were recycled than plastic in 2010, we can subtract the amount of plastic recycled from the amount of paper recycled.

  1. Amount of paper recycled: \( 4.6 \times 10^7 \) tons
  2. Amount of plastic recycled: 2,600,000 tons can be written as \( 2.6 \times 10^6 \) tons.

Now we perform the subtraction:

\[ 4.6 \times 10^7 - 2.6 \times 10^6 \]

To subtract these two numbers, we need them in the same format. We can convert \( 2.6 \times 10^6 \) to have the same exponent as \( 4.6 \times 10^7 \):

\[ 2.6 \times 10^6 = 0.26 \times 10^7 \]

Now, we can subtract:

\[ 4.6 \times 10^7 - 0.26 \times 10^7 = (4.6 - 0.26) \times 10^7 = 4.34 \times 10^7 \]

Thus, the difference is:

\[ 4.34 \times 10^7 \text{ tons} \]

So, \( 4.34 \times 10^7 \) tons more paper was recycled than plastic in 2010. In standard form, this is:

43,400,000 tons.