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• positive number• negative number• natural number• whole number• integers• rational number• square root• perfect square
• Classify and graph real numbers.
• irrational numbers• real numbers• graph• coordinate• radical sign
• Find square roots and order real numbers.
Standard 1.0 Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.
Standard 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. (Key, CAHSEE)
Animation: Natural Numbers
Classify Real Numbers
A.
Answer: Because = 4.1231056..., which is neither a repeating nor terminating decimal, this number is irrational.
Classify Real Numbers
Answer: Because 1 and 6 are integers and 1 ÷ 6 = 0.1666…, which is a repeating decimal, the number is a rational number.
B.
Classify Real Numbers
C.
Answer: Because this number is a natural number, a whole number, an integer, and a rational number.
A. A
B. B
C. C
D. D
A. whole
B. rationals
C. integers
D. naturals
A. Name the set or sets of numbers to which belongs.
A. A
B. B
C. C
D. D
A. naturals, wholes, integers, rationals
B. irrationals
C. integers only
D. none of the above
B. Name the set or sets of numbers to which belongs.
A. A
B. B
C. C
D. D
A. whole
B. integers
C. irrationals
D. naturals
C. Name the set or sets of numbers to which belongs.
Closure Property
Answer: The set of whole numbers is closed under multiplication.
A. Determine whether each set of numbers is closed under the indicated operation.
whole numbers, multiplication
Closure Property
Answer: The set of whole numbers is not closed under subtraction.
B. Determine whether each set of numbers is closed under the indicated operation.
whole numbers, subtraction
1. A
2. B
A. closed
B. not closed
A. Determine whether each set of numbers is closed under the indicated operation.integers, division
1. A
2. B
A. closed
B. not closed
B. Determine whether each set of numbers is closed under the indicated operation.real, division
Graph Real Numbers
B. Graph y ≤ 8.
The heavy arrow indicates that all numbers to the left of 8 are included in the graph. The dot at 8 indicates that 8 is included in the graph.
Answer:
Graph Real Numbers
C. Graph z > –5.
The heavy arrow indicates that all numbers to the right of –5 are included in the graph. The circle at –5 indicates that –5 is not included in the graph.
Answer:
SPORTS SCIENCE Find the surface area of an athlete whose height is 147 centimeters and whose weight is 48 kilograms.
Write the formula.
Replace height with 147 and weight with 48.
Simplify.
Simplify.
Answer: The surface area of the athlete is 1.4 m2.
or 1.4 m2
A. A
B. B
C. C
D. D
A. 2.5 m2
B. 1.0 m2
C. 1.1 m2
D. 1.5 m2
SPORTS SCIENCE Find the surface area of an athlete whose height is 152 centimeters and whose weight is 50 kilograms.
A. Replace the ● with <, >, or = to make the sentence true.
Compare Real Numbers
.
B. Replace the ● with <, >, or = to make the sentence true.
Compare Real Numbers
A. A
B. B
C. C
D. D
A. >
B. <
C. =
D. ≥
A. Replace the ● with <, >, or = to make the sentence true.
A. A
B. B
C. C
D. D
A. >
B. ≤
C. <
D. =
B. Replace the ● with <, >, or = to make the sentence true.
