Convert 0.5¯¯¯ to a fraction. (1 point) Responses
5/9
5/11
1/2
1/20
The correct answer is 1/2.
Convert 0.14¯¯¯¯¯ to a fraction.(1 point)
7/50
14/99
14/101
7/500
To convert 0.14¯¯¯¯¯ to a fraction, we can use the following steps:
Let x = 0.14¯¯¯¯¯
Multiply both sides of the equation by 100 (to move the decimal point two places to the right):
100x = 14.14¯¯¯¯¯
Subtract x from both sides:
100x - x = 14.14¯¯¯¯¯ - 0.14¯¯¯¯¯
99x = 14
Divide both sides by 99:
x = 14/99
Therefore, 0.14¯¯¯¯¯ can be written as the fraction 14/99. The correct answer is 14/99.
Convert 16/50 to a decimal and a percentage.(1 point)
Responses
0.32 and 32%
0.32 and 32%
34 and 3,400%
34 and 3,400%
3.125 and 312.5%
3.125 and 312.5%
0.32 and 3.2%
To convert 16/50 to a decimal, you divide the numerator (16) by the denominator (50):
16 ÷ 50 = 0.32
Therefore, 16/50 can be written as the decimal 0.32.
To convert 0.32 to a percentage, you multiply it by 100:
0.32 × 100 = 32%
Therefore, 16/50 can be written as both the decimal 0.32 and the percentage 32%. The correct answer is 0.32 and 32%.
Convert 10% to a decimal and a fraction. (1 point)
Responses
0.001 and 1/1,000
0.001 and 1/1,000
1 and 100/100
1 and 100/100
0.01 and 1/100
0.01 and 1/100
0.10 and 1/10
To convert 10% to a decimal, you divide 10 by 100:
10 ÷ 100 = 0.10
Therefore, 10% can be written as the decimal 0.10.
To convert 0.10 to a fraction, you write it as a fraction over 1:
0.10/1
To simplify this fraction, you can remove the decimal point by multiplying both the numerator and denominator by 10:
0.10 × 10/1 × 10 = 1/10
Therefore, 10% can be written as both the decimal 0.10 and the fraction 1/10. The correct answer is 0.10 and 1/10.
Convert 0.02¯¯¯¯¯ to a fraction. (1 point)
Responses
1/5
1/5
1/50
1/50
2/101
2/101
2/99
To convert 0.02¯¯¯¯¯ to a fraction, we can use the following steps:
Let x = 0.02¯¯¯¯¯
Multiply both sides of the equation by 100 (to move the decimal point two places to the right):
100x = 2.02¯¯¯¯¯
Subtract x from both sides:
100x - x = 2.02¯¯¯¯¯ - 0.02¯¯¯¯¯
99x = 2
Divide both sides by 99:
x = 2/99
Therefore, 0.02¯¯¯¯¯ can be written as the fraction 2/99. The correct answer is 2/99.
All waves carry: (1 point)
Responses
energy
energy
light
light
matter
matter
particles