1.-2/5 - 7/10
= -4/10-7/10
=-11/10
=-1 1/10
2. -6 + -4 - 3
= -10-3
= -13
3. -4 - 3.5 + -2
= -7.5+(-2)
= -9.5
4. -4 x 3.5 - |-2|
= -14-2
= -16
2007-09-11 11:09:04
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answer #1
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answered by niclyl7 1
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#1: This is an addition problem (yes, it's a subtraction problem, but all subtraction problems are addition problems), so you have to find a common denominator. In this case, 10 is a common multiple of both 10 and 5, so simply multiply both the top and bottom of the first fraction by two so it's denominator matches that of the second fraction. So we have:
-4/10 - 7/10
Now, note that a subtraction is the same as adding the opposite of a number. So you can write this explicitly as:
-4/10 + (-7/10)
Now, to add fractions with the same denominator, you just keep the denominator the same and add the numerators:
(-4+(-7))/10
Finally, to add integers with the same sign, you keep the sign the same and add their absolute values:
-11/10
#2: First, rewrite this as a pure addition problem:
-6 + (-4) + (-3)
Now, just add them up:
-10+(-3)
-13
#3: Again, write this as a pure addition problem:
-4 + (-3.5) + (-2)
And add them up:
-7.5 + (-2)
-9.5
#4: Following the order of operations strictly, the first thing you do evaluate is anything located within a grouping symbol, such as parentheses. Since absolute value bars act as a grouping symbol, evaluate that firs. Remember that the absolute value is the same as dropping the sign from a number, so we have:
-4Ã3.5 - 2
Now, do the multiplication before addition. The factors have opposite signs, so the product will be negative, and the absolute value of the product is just the product of the absolute values, so we have:
-14-2
Writing this as addition:
-14 + (-2)
-16
2007-09-11 18:22:41
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answer #2
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answered by Pascal 7
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