Which sum will be irrational? (1 point)
3 + 2
start root 19 end root plus start fraction 7 over 2 end fraction
Start Fraction 18 over 3 End Fraction plus Start Fraction 11 over ten thousand End Fraction.
–6 + (–3.251)
Which product will be rational? (1 point)
17 point Modifying Above 12 with bar times 33
start root 3 end root times start root 9 end root
4 times pi
negative start root 20 end root times 15
A whole number is added to a number with two digits after the decimal point. To make sure the answer is reasonable, how many digits should the sum have after the decimal point?
none
1
2
infinitely many
Connections academy is...
D
B
B
C D
C
B
#1 (B) since 19 is not a perfect square, √19 is irrational. 18/3 is just 6, and 11/10000 is just a rational number.
#2 (A)
any repeating decimal is rational.
#3 (B) ok.
I can't say I like your syntax. Even if you can't figure out how to copy/paste special symbols, it would be much better to say things like
sqrt(19) + 7/2
18/3
* for multiply
/ for divide
^ for powers: x^2 means x squared
sqrt(x) for square root
And use parentheses to make sure:
2/3+7 is not the same as 2/(3+7)
multiply and divide are to be done before add and subtract, unless parens dictate otherwise.
... is correct
Which number is irrational?
A. StartFraction 3 over 17 EndFraction
B. StartRoot 25 EndRoot
C. 0 point Modifying above 6 with bar
D. StartRoot 33 EndRoot
1 / 6
0 of 6 Answered
... is 100% correct
To determine which sum will be irrational, we need to consider the properties of irrationals, which are numbers that cannot be expressed as a ratio of two integers.
1. 3 + 2 = 5. This is a whole number, so it is a rational number.
2. √19 + (7/2). To simplify, the rational number 7/2 must first be written in terms of a square root. This becomes: √19 + √(49/4). Adding these square roots together yields: √19 + √(49/4) = √19 + 7/2. Since this sum contains a square root, it cannot be expressed as a ratio of two integers, making it an irrational number.
3. (18/3) + (11/10000). For this sum, we can simplify the fractions before adding them: (18/3) + (11/10000) = 6 + 0.0011 = 6.0011. Since this sum is a decimal number that can be expressed as a ratio of two integers, it is a rational number.
4. –6 + (–3.251) = -9.251. This is a decimal number that can be expressed as a ratio of two integers, making it a rational number.
Therefore, the sum that will be irrational is √19 + (7/2).
To determine which product will be rational, we need to consider the properties of rational numbers, which can be expressed as a ratio of two integers.
1. 17.12̅ × 33. Here, the bar above the 12 indicates that it repeats infinitely, making it a rational number. Since both factors are rational, the product will also be rational.
2. √3 × √9 = √(3 × 9) = √27. This product contains a square root, so it cannot be expressed as a ratio of two integers, making it an irrational number.
3. 4 times π. π is an irrational number, but when it is multiplied by a rational number (4 in this case), the product will still be irrational. Therefore, the product will be irrational.
4. -√20 × 15. When a negative sign is in front of the square root, it does not affect whether the result is rational or irrational. However, since the square root of 20 is irrational, the product will be irrational.
Therefore, the only product that will be rational is 17.12̅ × 33.
To determine the number of digits after the decimal point when adding a whole number to a number with two digits after the decimal point, we need to consider the rules of decimal addition.
In decimal addition, the number of digits after the decimal point in the sum will be equal to the maximum number of digits after the decimal point in any of the numbers being added.
For example, if the whole number is 10 and the number with two digits after the decimal point is 3.14, the sum would be 10 + 3.14 = 13.14. In this case, both numbers have two digits after the decimal point, so the sum will also have two digits after the decimal point.
Therefore, the answer is 2 digits after the decimal point.
1.D
2.B
3.B
helo yes ... is much corecc thank much *bork*
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c d
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b