Subtract 4.66 x 10^-5 - 7.34 x 10^-7
The U.S. national debt was $2.9617 x 10^13 in 2021 and $3.98 x 10^11 in 1971. Find how much the debt increased in the 50-year period.
The size of a hydrogen atom is about 1.2 x 10^-10m across. The size of an oxygen atom is 0.00000000152 m across. What is the difference between the sizes of these atoms in scientific notation?
To find the difference between the sizes of the hydrogen atom and the oxygen atom, we need to subtract the size of the hydrogen atom from the size of the oxygen atom.
0.00000000152 m - 1.2 x 10^-10 m
Since these two numbers already have different exponents, we can perform the subtraction as is:
0.00000000152 m - 1.2 x 10^-10 m = -9.9988 x 10^-11 m
Therefore, the difference between the sizes of the hydrogen atom and the oxygen atom is approximately -9.9988 x 10^-11 m.
To subtract two numbers in scientific notation, you need to make sure the exponents are the same. In this case, the exponents are already the same, so you can directly subtract the numbers:
4.66 x 10^-5 - 7.34 x 10^-7
= (4.66 - 7.34) x 10^-5
= -2.68 x 10^-5
To subtract numbers written in scientific notation, you need to make sure that the exponents are the same. Let's subtract the given numbers step by step:
1. Begin by comparing the exponents. In this case, we have 10^-5 and 10^-7. To make them the same, we can rewrite 10^-7 as 10^-5 x 10^2.
So, our expression becomes:
4.66 x 10^-5 - 7.34 x 10^-5 x 10^2.
2. Next, distribute the 10^2 to 7.34 x 10^-5:
4.66 x 10^-5 - (7.34 x 10^-5) x (10^2) = 4.66 x 10^-5 - 7.34 x 10^-3.
3. Now that the exponents are the same (both are 10^-5), subtract the coefficients:
4.66 - 7.34 = -2.68.
4. Finally, write the result in scientific notation by using the common exponent, which is 10^-5:
-2.68 x 10^-5.
Therefore, the subtraction of 4.66 x 10^-5 - 7.34 x 10^-7 equals -2.68 x 10^-5.
To subtract these two numbers, we need to ensure that they have the same exponent.
First, let's convert both numbers to scientific notation with the same exponent:
4.66 x 10^-5 = 0.0000466
7.34 x 10^-7 = 0.000000734
Now we can subtract them:
0.0000466 - 0.000000734 = 0.000045866
Therefore, 4.66 x 10^-5 - 7.34 x 10^-7 = 0.000045866.
To find the increase in the U.S. national debt over the 50-year period, we need to subtract the debt in 1971 from the debt in 2021.
$2.9617 x 10^13 - $3.98 x 10^11 = $2.9649 x 10^13
Therefore, the U.S. national debt increased by $2.9649 x 10^13 over the 50-year period.