Real Numbers and Closure
Rational Exponents
Significant Digits
Precision and Accuracy
Calculating with Significant Digits
100
The most exclusive group of numbers -5 belongs to is...
Integers
100
In a rational exponent, the denominator is the ______ and the numerator is the _________.
root; exponent
100
How many significant digits are in 2,200,301
7
100
Which ruler is more precise?
Centimeters
100
State your answer using the rules for calculations with significant digits: 3ft x 8.9ft
27ft
200
True or false: the square root of 64 is a rational number.
True: 8
200
Simplify: 9 with an exponent of 1/2
exponent of 1/2 is the same as square root; 3
200
How many significant digits are in 0.000004
1
200
Which target has high accuracy and low precision?
C
200
State your answer using rules for calculations with significant digits: 4.7 + 9.556 =
14.3
300
Are whole numbers closed under subtraction? If not, give an example to prove it.
No; Ex: 5-9=-4, -4 is not a whole number
300
Simplify: (81x4)3/4
27x3
300
True or false: A zero at the end of a any number is always insignificant.
If false, explain.
False: A zero at the end of a number to the right of a decimal is significant.
300
Which target has high precision and low accuracy?
B
300
True or false: When adding, you report your answer with the same number of significant digits as the number with the least significant digits.
If false, explain.
False: When adding, you report your answer to the same precision as the least precise number.
400
What groups of numbers does -4,728 fit into?
Real, rational, and integer
400
Simplify: (8x5y)1/2
2x(cubed root)x2y
400
How many significant digits are in 0.000501?
3
400
Which measurement is more precise: 4.56cm or 7.8cm?
4.56cm
400
True or false: When adding or subtracting, you report your answer to the same number of significant digits as the number with the fewest significant digits.
If false, explain.
False: this is the rule for multiplying and dividing. For adding and subtracting, you report your answer to the same precision as the least precise number.
500
Are integers closed under division? If not, give an example to prove.
No. -4/20 =-1/5; fractions are not included in integers
500
Simplify: 253/2+163/2
189
500
How many significant digit are in 4.30010?
6
500
The closeness of a measured value to the actual value is:
accuracy
500
State your answer using significant digits:
3.98 x 7.3 + 9.087 =
38.141