Types of Numbers and Reasoning
Fractions
Decimals
Sequences
Scientific Notation
100
True or false: 4/5 is an integer.
FALSE
100
2/3 + 7/8
37/24
100
7.23 + 10.8
18.03
100
Is the following an arithmetic or geometric sequence? 6, 9, 12, 15, 18...
Arithmetic
100
Write the following in Scientific Notation: 56,000
5.6 x 10^4
200
True or False: -2 is an integer and a rational number.
TRUE
200
5 1/2 - 1/5
53/10
200
Write 4.31 as a fraction.
4 31/100
200
Tell whether the following is an arithmetic sequence. Then find the next 2 numbers. 2, 4, 8, 16...
No 32, 64
200
Write the following in Scientific Notation: .000000873
8.73 x 10^-7
300
Every third car that goes by Josh's house is red. Two cars go by that are not red. Josh decides the next car must be red.
Inductive Reasoning
300
4/5 x 10/7
8/7
300
6.54 - 9.21
-2.67
300
Tell whether the following is an arithmetic sequence. Then, find the next two numbers. 5, 3, 1, 0, -2...
Yes -4, -6
300
Write the following in Scientific Notation: 12,321,000
1.2321 x 10^7
400
In order to play on the basketball team, students need to have a C average or above. Cory is on the basketball team, so he must have a C average or above.
Deductive Reasoning
400
-8/9 / 1/3
-8/3
400
6.45 x 3.2
20.64
400
What are the next three numbers of the geometric sequence that starts with -2 and has common ratio of 3?
-6, -18, -54
400
Write the following in Standard Form: 716,000
7.16 x 10^5
500
It has rained every Thursday in November. Tomorrow is Thursday, November 22, so Jackie decides that it will rain.
Inductive Reasoning
500
A house is 24 feet wide. On the blueprints, the width of the house is 8 inches. (1 foot=12 inches) What is the scale, in simplest form of the width of the house on the blueprints to the width of the house itself?
1/36 inches
500
3.42 / .03
114
500
What are the next three terms of the geometric sequence that starts with 10 and has a common ratio of 1/2?
5, 5/2, 5/4
500
Write the following in Standard Form: .0000095386
9.5386 x 10^-6
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