Subtract 4.66×10^−5 − 7.34×10^−7 (1 point)

To subtract 4.66×10^−5 from 7.34×10^−7, you need to express both numbers in scientific notation such that they have the same exponent.

4.66×10^−5 = 0.0000466 (since dividing by 10^5 moves the decimal point 5 places to the left)
7.34×10^−7 = 0.000000734 (since dividing by 10^7 moves the decimal point 7 places to the left)

Now, you can subtract them:

0.0000466 - 0.000000734 = 0.000045866

So, 4.66×10^−5 − 7.34×10^−7 is approximately 0.000045866.

Thank you! But, what is 0.000045866 in scientific notation?

To express 0.000045866 in scientific notation, you need to move the decimal point to have one non-zero digit to the left of it.

0.000045866 = 4.5866 × 10^-5

So, in scientific notation, 0.000045866 is written as 4.5866 × 10^-5.

The U.S. national debt was $2.9617×10^13 in 2021 and $3.98×10^11 in 1971. Find how much the debt increased in the 50-year period. (1 point)

To find how much the U.S. national debt increased in the 50-year period from 1971 to 2021, subtract the debt in 1971 from the debt in 2021.

$2.9617×10^13 - $3.98×10^11 = $2.9617×10^13 - $0.398×10^13

To perform the subtraction, we need to have the same exponent in the scientific notation. We can express $0.398×10^13 as $3.98×10^12.

$2.9617×10^13 - $3.98×10^13 = $2.9617×10^13 - $3.98×10^12 = $2.5617×10^13

So, the U.S. national debt increased by $2.5617×10^13 in the 50-year period.

The U.S. national debt was $2.9617×10^13 in 2021 and $3.98×10^11 in 1971. Find how much the debt increased in the 50-year period. (1 point)

$2.9219×1013

$1.0183×1024

$2.9219×1011

$3.0015×1013

To find how much the U.S. national debt increased in the 50-year period from 1971 to 2021, subtract the debt in 1971 from the debt in 2021.

$2.9617×10^13 - $3.98×10^11 = $2.9617×10^13 - $0.398×10^13

To perform the subtraction, we need to have the same exponent in scientific notation. We can express $0.398×10^13 as $3.98×10^12.

$2.9617×10^13 - $3.98×10^13 = $2.9617×10^13 - $3.98×10^12 = $2.5617×10^13

Therefore, the correct answer is:

$2.5617×10^13