Answer:
8 * 10^6
Step-by-step explanation:
The question is asking us to represent the value 8,406,000 in standard. The standard form of an expression is expressed as;
A * 10^n
A is any integer between 1 and 10
n is any integer.
Given the value 8,406,000
8,406,000.
We are going to move the decimal point at the end to first digit value. This point will be shifted 6 times to have;
8,406,000 = 8.6 * 10^6 (Note that n is positive since the value given is greater than 1)
Since we are to express as a single digit times a power of ten, the required answer will be 8 * 10^6
Answer:
B: 8 7/8 Lbs
Step-by-step explanation:
answer = ![15\frac{1}{8} -3\frac{1}{2} -2\frac{3}{4}](https://tex.z-dn.net/?f=15%5Cfrac%7B1%7D%7B8%7D%20-3%5Cfrac%7B1%7D%7B2%7D%20-2%5Cfrac%7B3%7D%7B4%7D)
step 1 find a common denominator
common denominator - 8
* apply *
![\frac{1^*^1}{8^*^8} =\frac{1}{8} \\\\\frac{1^*^4}{2^*^4} =\frac{4}{8} \\\\\frac{3^*^2}{4^*^2} =\frac{6}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%5E%2A%5E1%7D%7B8%5E%2A%5E8%7D%20%3D%5Cfrac%7B1%7D%7B8%7D%20%5C%5C%5C%5C%5Cfrac%7B1%5E%2A%5E4%7D%7B2%5E%2A%5E4%7D%20%3D%5Cfrac%7B4%7D%7B8%7D%20%5C%5C%5C%5C%5Cfrac%7B3%5E%2A%5E2%7D%7B4%5E%2A%5E2%7D%20%3D%5Cfrac%7B6%7D%7B8%7D)
now we have
![15\frac{1}{8} -3\frac{4}{8} -2\frac{6}{8}](https://tex.z-dn.net/?f=15%5Cfrac%7B1%7D%7B8%7D%20-3%5Cfrac%7B4%7D%7B8%7D%20-2%5Cfrac%7B6%7D%7B8%7D)
step 2 make each fraction a improper fraction
We can do this my multiplying the big number by the denominator and adding that to the numerator.
![15*8=120\\120+1=121\\\frac{121}{8} \\\\3*8=24\\24+4=28\\\frac{28}{8} \\\\2*8=16\\16+6=22\\\frac{22}{8}](https://tex.z-dn.net/?f=15%2A8%3D120%5C%5C120%2B1%3D121%5C%5C%5Cfrac%7B121%7D%7B8%7D%20%5C%5C%5C%5C3%2A8%3D24%5C%5C24%2B4%3D28%5C%5C%5Cfrac%7B28%7D%7B8%7D%20%5C%5C%5C%5C2%2A8%3D16%5C%5C16%2B6%3D22%5C%5C%5Cfrac%7B22%7D%7B8%7D)
now we have
![\frac{121}{8} -\frac{28}{8} -\frac{22}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B121%7D%7B8%7D%20-%5Cfrac%7B28%7D%7B8%7D%20-%5Cfrac%7B22%7D%7B8%7D)
Now we can subtract
remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )
so 121 - 28 - 22 = 71
so the answer is ![\frac{71}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B71%7D%7B8%7D)
finally we want to change the answer back into a mixed fraction
To do this we divided 71 and 8
8 can go into 71 8 times
8 * 8 = 64
71 - 64 = 7
We're left with ![8\frac{7}{8}](https://tex.z-dn.net/?f=8%5Cfrac%7B7%7D%7B8%7D)
Answer:
3
Step-by-step explanation: