Answer:
<h2>7</h2><h2>:)</h2><h2 />
Step-by-step explanation:
![\left[\left(11\:-\:4\right)^3\right]^2\:\div \left(4\:+\:3\right)^5\\\\\frac{\left(\left(11-4\right)^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Subtract\:the\:numbers:}\:11-4=7\\\\=\frac{\left(7^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Add\:the\:numbers:}\:4+3=7\\\\=\frac{\left(7^3\right)^2}{7^5}\\\\\left(7^3\right)^2=7^6\\\\=\frac{7^6}{7^5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{7^6}{7^5}=7^{6-5}\\\\\mathrm{Subtract\:the\:numbers:}\:6-5=1\\\\=7](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft%2811%5C%3A-%5C%3A4%5Cright%29%5E3%5Cright%5D%5E2%5C%3A%5Cdiv%20%5Cleft%284%5C%3A%2B%5C%3A3%5Cright%29%5E5%5C%5C%5C%5C%5Cfrac%7B%5Cleft%28%5Cleft%2811-4%5Cright%29%5E3%5Cright%29%5E2%7D%7B%5Cleft%284%2B3%5Cright%29%5E5%7D%5C%5C%5C%5C%5Cmathrm%7BSubtract%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A11-4%3D7%5C%5C%5C%5C%3D%5Cfrac%7B%5Cleft%287%5E3%5Cright%29%5E2%7D%7B%5Cleft%284%2B3%5Cright%29%5E5%7D%5C%5C%5C%5C%5Cmathrm%7BAdd%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A4%2B3%3D7%5C%5C%5C%5C%3D%5Cfrac%7B%5Cleft%287%5E3%5Cright%29%5E2%7D%7B7%5E5%7D%5C%5C%5C%5C%5Cleft%287%5E3%5Cright%29%5E2%3D7%5E6%5C%5C%5C%5C%3D%5Cfrac%7B7%5E6%7D%7B7%5E5%7D%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cfrac%7Bx%5Ea%7D%7Bx%5Eb%7D%3Dx%5E%7Ba-b%7D%5C%5C%5C%5C%5Cfrac%7B7%5E6%7D%7B7%5E5%7D%3D7%5E%7B6-5%7D%5C%5C%5C%5C%5Cmathrm%7BSubtract%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A6-5%3D1%5C%5C%5C%5C%3D7)
First you have make the 2 and a half into 5/2. Then you have to find a common denominator of the two fractions, which would be 8. So the 7/8 you dont need to do anything to but the 5/2 you do... so multiply both the top and the bottom by 4 so you can get 8 on the bottom. that would be 20/8. now you can add them. so 7/8 + 20/8 = 27/8
Answer:
(0.25)⋅(0.044) = 0.011
Step-by-step explanation:
Two students have different ways to calculate (0.25)⋅(0.044) as a decimal.
Show, in detail, how each student might compute this product. (upload your work when complete)
We are given:
(0.25)⋅(0.044)
= 0.25 × 0.044
a) For Elena
Elena says, "I find 25⋅ 4.4 and then move the decimal point."
What Elena did was she multiplied both
number by 100
= (0.25 × 100) × (0.044 × 100)
We add up the decimal points from 0.25 and 0.044 = 5
Hence, the answer we get in step 1 is divided by 100000 in other it move the brackets
(0.25 × 100) × (0.044 × 100)/100000
= 0.011
b) For Diego
Diego says, "0.25 is the same as 1/4, so I found 1/4 of 0.044."
Diego converted 0.25 to fraction
= 0.25 × 100/100
= 25/100 = 1/4
Since, (0.25)⋅(0.044)
= 0.25 × 0.044
Then:
1/4 of 0.044
= 1/4 × 0.044
= 0.011
A number without a decimal is a whole number and a decimal number is most likely a number and a half hope that helps!
Answer: it’s easy look it up on a calculator
Step-by-step explanation: