4.66x10-^5 -7.34 x 10-^7
The expression 4.66x10^-5 - 7.34x10^-7 can be simplified as follows:
4.66x10^-5 - 7.34x10^-7
= 4.66*10^-5 - 7.34*10^-7
To subtract these two numbers, we need to have the same exponent, so we convert them to the same power of 10.
= 4.66*10^-5 - 0.734*10^-6 (converting 7.34 to exponent -6)
Now that both numbers have the same exponent, we can subtract them.
= (4.66 - 0.734) * 10^-5
Simplifying further,
= 3.926 * 10^-5
Therefore, 4.66x10^-5 - 7.34x10^-7 is equal to 3.926x10^-5.
4.66 × 10-5 - 7.34 × 10-7
(1 point)
-2.68 × 102
2.68 × 102
-4.5866 × 10-5
) 4.5866 × 10-5
My apologies for the previous incorrect response.
To subtract 7.34 × 10^-7 from 4.66 × 10^-5, we need to have the same exponent:
4.66 × 10^-5 - 7.34 × 10^-7 = 4.66 × 10^-5 - 0.00734 × 10^-5
Now we can subtract them:
4.66 × 10^-5 - 0.00734 × 10^-5 = (4.66 - 0.00734) × 10^-5
Simplifying further:
4.65266 × 10^-5
Therefore, 4.66 × 10^-5 - 7.34 × 10^-7 equals 4.65266 × 10^-5.
The U.S. national debt was $2.9617 × 1013 in 2021 and $3.98 × 1011 in 1971. Find how much the debt increased in the 50-year period. (1 point)
$2.9219 × 1011
$2.9219 × 1013
$1.0183 × 1024
$3.0015 × 1013
To find the increase in the national debt over the 50-year period, we need to subtract the debt in 1971 from the debt in 2021.
$2.9617 × 10^13 - $3.98 × 10^11
To subtract these numbers, we need to have the same exponent, so we convert the second number to the same power of 10.
$2.9617 × 10^13 - $0.398 × 10^13 (converting $3.98 × 10^11 to exponent 13)
Now that both numbers have the same exponent, we can subtract them.
($2.9617 - $0.398) × 10^13
Simplifying further:
$2.5637 × 10^13
Therefore, the increase in the debt over the 50-year period is $2.5637 × 10^13 or $25.637 trillion.
To subtract two numbers written in scientific notation, follow these steps:
Step 1: Ensure that both numbers have the same exponent. If the exponents are different, adjust one or both numbers so that they have the same exponent.
In this case, we need to adjust the second number, which is 7.34 x 10^-7, to have the same exponent as the first number.
Step 2: Move the decimal point in the second number according to the required adjustment in the exponent.
The exponent in the first number is -5, while the exponent in the second number is -7. To adjust the second number, we need to move its decimal point two places to the right. So the adjusted number will be 0.00000734.
Step 3: Now that both numbers have the same exponent, you can subtract the adjusted numbers directly.
4.66 x 10^-5 - 0.00000734 = 0.0000466 - 0.00000734 = 0.00003926
Step 4: Express the result in scientific notation, if necessary.
Since the result is 0.00003926, we can express it in scientific notation as 3.926 x 10^-5.
To subtract these numbers in scientific notation, you need to make sure that the exponents (powers of 10) are the same. Here is how you can do it step by step:
1. Rewrite the numbers in standard form:
4.66 x 10^-5 - 7.34 x 10^-7
2. Adjust the exponents to be the same by converting one of the numbers.
Let's convert 7.34 x 10^-7 to be in the same order of magnitude as 10^-5.
We can multiply both the number and the exponent by 100 to get:
7.34 x 10^-7 = 734 x 10^-9
3. Now that the exponents are the same, you can subtract the numbers:
4.66 x 10^-5 - 734 x 10^-9
4. Subtract the numbers in front of the powers of 10:
4.66 - 734 = -729.34
5. Keep the common exponent of 10^-9 for the result:
-729.34 x 10^-9
So the difference is approximately -7.2934 x 10^-7 in scientific notation.