Choose True or False for each of the following.
87% is equivalent to 0.87 True or False
1.29 is equivalent to 129% True or False
0.5% is equivalent t0 0.05 True or False
5.6 is equivalent to 56% True or False
True
True
False
False
To determine whether each statement is true or false, we need to understand how to convert percentages to decimals and decimals to percentages.
1. To convert a percentage to a decimal, we divide the percentage value by 100. So, to convert 87% to a decimal, we divide 87 by 100: 87/100 = 0.87. So the statement "87% is equivalent to 0.87" is True.
2. To convert a decimal to a percentage, we multiply the decimal value by 100. So, to convert 1.29 to a percentage, we multiply 1.29 by 100: 1.29 * 100 = 129. So the statement "1.29 is equivalent to 129%" is True.
3. Applying the same rule, to convert a percentage to a decimal, we divide the percentage value by 100. So, to convert 0.5% to a decimal, we divide 0.5 by 100: 0.5/100 = 0.005. So the statement "0.5% is equivalent to 0.05" is False.
4. To convert a decimal to a percentage, we multiply the decimal value by 100. So, to convert 5.6 to a percentage, we multiply 5.6 by 100: 5.6 * 100 = 560. So the statement "5.6 is equivalent to 56%" is True.
So the final answers are:
1. True
2. True
3. False
4. True