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Converting Repeating Decimals To Fractions
Test Description: Convert repeating decimals to fractions.
Instructions: Answer all questions to get your test result.
1) If a decimal has one digit that repeats, what number do you multiply by in step 2?
A
1
B
10
C
100
D
1000
2) What is the first step in converting a repeating decimal to a fraction?
A
Multiply both sides of the equation by a power of 10.
B
Solve for n.
C
Let the variable (n) equal the decimal.
D
Subtract the two equations.
3) 0.5 with 5 repeating is equal to what fraction?
A
5/9
B
5/10
C
5/99
D
1/2
4) What number is in the denominator of a fraction (before simplifying) whose decimal has two repeating digits?
A
9999
B
9
C
99
D
999
5) 0.45 with the 45 repeating is equal to which fraction?
A
45/100 = 9/20
B
45/99 = 5/11
C
4/5
D
45/9 = 5
6) What is the third step in converting a repeating decimal to a fraction?
A
Let the variable (n) equal the decimal.
B
Subtract the two equations.
C
Multiply both sides of the equation by a power of 10.
D
Solve for n.
7) What is the last step in converting a repeating decimal to a fraction?
A
Let the variable (n) equal the deciimal.
B
Solve for n.
C
Multiply both sides of the equation by a power of 10.
D
Subtract the two equations.
8) What number would you multiply both sides of the equation by if there are three repeating digits in the decimal?
A
100
B
1000
C
10,000
D
10
9) What is the second step in converting a repeating decimal to a fraction?
A
Multiply both sides of the equation by a power of 10.
B
Let the variable (n) equal the decimal.
C
Solve for n.
D
Subtract the two equations.
10) 0.12345 with 12345 being repeating digits is equal to what fraction?
A
12345/9
B
12345/999
C
12345/999999
D
12345/99999
*select an answer for all questions
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