always true, sometimes true, never true?

Question

1. A number with three digits is always greater than a number with only two digits.


2. When you multiply two numbers together, the product is always bigger than both of the original numbers (factors).


3. The sum of two numbers is always greater than both the original numbers (addends).


4. To operate with factors, you must always have a common denominator.


5. To multiply numbers with fractions, just multiply straight across.


6. To multiply with 10, just add a zero.


7. To negatives make a positive.


8. A positive and a negative make a positive.


9. A positive and a negative make a negative.


10. The product of any number and zero is zero.


& add a small explanation too...thanks.

Answer 1

1. sometimes (negative #s, for example)

2. um, worded weird? You woudln't say, the product is sometimes always bigger... but anway, consider positive x negative and you can decide.

3. Sometimes. negative numbers again.

4. what?...

5. uh, what kind of numbers? whole, mixed?

6. no; decimals (sometimes)

7. only when multiplying or dividing

8. never (if you're talking about multiplying)

9. always if same as above

10. Always

Answer 2

1.A number with three digits is always greater than a number with only two digits.
Sometimes true. A positive number with three digits is always greater than a number with only two digits.

2.When you multiply two numbers together, the product is always bigger than both of the original numbers (factors).

Sometimes true. If both numbers are >1, then the statement is true. Or if both numbers are < -1, then the statement is true. If one number is negative and the other is positive, then it's not true. If either number is zero, then it's not true. If one number is a fraction, it depends.

3.The sum of two numbers is always greater than both the original numbers (addends).
Sometimes true. If both numbers are positive, this is true. If either number is negative or zero, then it's not true.

4.To operate with factors, you must always have a common denominator.
Factors or fractions?

5.To multiply numbers with fractions, just multiply straight across.
Always true.

6.To multiply with 10, just add a zero.
Sometimes true. This would not be true for a fraction. 0.5 * 10 = not 0.50.

7.To negatives make a positive.
Sometimes true. Two negatives make a positive, when you multiply or divide. Two negative do not make a positive when you add. It depends when you subtract.

8.A positive and a negative make a positive.
Sometimes true. The sign of the result will be the sign of the number with the largest absolute value.

9.A positive and a negative make a negative.
Sometimes true. The sign of the result will be the sign of the number with the largest absolute value.

10.The product of any number and zero is zero.
Always true.

Answer 3

1.A number with three digits is always greater than a number with only two digits.

somtimes true: Can be negative, or have 0's

2.When you multiply two numbers together, the product is always bigger than both of the original numbers (factors).

somtimes true: Can be negative, or have 0's

3.The sum of two numbers is always greater than both the original numbers (addends).

somtimes true: Can be negative, or have 0's

4.To operate with factors, you must always have a common denominator.

somtimes true: addition and subtraction "require it", but muliplication doesn't (assuming you meant fractions, factors are part of a number so it doesn't make sence)

5. yes unless you write fractions weird
6.yes unless fraction
7. when multiplying TWO make a postitive, but when adding TWO make a negative
8.yes somtimes when adding no when multiplying
9.somtimes, a positive to a negative exponent is still positive, but multiplying will get negative
10. 0ln(0) is undifined, so somtimes

In other words everything happens somtimes, nothing is as it seems and the answer is 42

Answer 4

I am assuming that all of these, unless otherwise stated, is addition. If it is different, like you mean multiplication in 8 or 9, then tell me.

1.) Sometimes true (-115 is less than 93)
2.) Sometimes true
3.) Sometimes true (a negative plus a positive is less than the positive and greater than the negative)
4.) Never true
5.) Always true
6.) Sometimes true (10*0.01 is 0.1, you actually move the decimal point 1 place to the right)
7.) Never true
8.) Sometimes true (the positive has to be bigger than the positive)
9.) Sometimes true (the negative has to be bigger than the positive)
10.) Always true

Answer 5

1) always, assuming a number cant start with 0.

2)sometimes. -10 * 5 = -50

3) sometimes. -5 + -6 = -11

4) dont understand the question

5) always

6) sometimes. sometime you just move the decimal point

7) what did you ask? two negatives multiplied together always make a positive

8) a positive and negative multiplied together never make a positive.

9) a positive and negative multiplied together always make a negative

10) 0 times any number is always zero.

8)

Answer 6

2. Not necessarily (sometimes true).
Take numbers 1/2 and 6.
(1/2) x (6) = 3.
Although 3 is bigger than (1/2), 3 is NOT bigger than 6.

7. This one is vague. Two negatives make a positive in the case of multiplication. But two negatives added together make a negative.

Answer 7

1. Always true (if leading zeros aren't counted as digits)

2. Sometimes true. (0.5 * 0.5 = .25)

3. Sometimes true (you can add negatives and end up with a more negative (smaller) sum. Example: -1 + -1 = -2)

4. Never true

5. Always true (given that they are not mixed numbers)

6. Sometimes true (sometimes you just move the decimal point, not add a zero)

7. Sometimes true

8. Sometimes true

9. Sometimes true

10. Always true

Answer 8

1. sometimes 003<99 888>99
2. sometimes .5*.5=.25 4*4=16
3. sometimes -5+3= -2 5+5=10
4. sometimes (1/2)+(1/4)=(3/4) (1/2)*(1/4)=(1/8)
5. always (1/6)(2/3)=(1/9)
6. always 20*10=200
7. sometimes -2*-3=6 -2+-3=-5
8. sometimes -2*3=-6 10+-3=7
10. always 2*0=0

Answer 9

1)sometimes true. -100, -99 and 100,99

2) Sometimes true. 2,3. and 2,-3

3)sometimes true 2,3 and 0,0 0+0=0 not bigger than 0

4)Not sure what question 4 is

5)always true if it is a fraction and not a fraction and a whole number

6) always true, if you let me write 0 as 00, if not then it is sometimes true with that exception

7)always true when multiplied or divided, never true when added and sometimes true when subtracted.

8) sometimes true when added or subtracted, never true when multiplied or divided

9)always true when multiplied or divided, sometimes true when added or subtracted.

10)always true

Answer 10

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