Convert the fraction or decimal to its equivalent percent: 0.007.
The Correct Answer and Explanation is:
To convert the decimal 0.007 to a percent:
Step-by-step conversion:
Multiply the decimal by 100:0.007×100=0.70.007 \times 100 = 0.70.007×100=0.7
So,
0.007 = 0.7%
Explanation:
Percent means “per hundred.” When you convert a decimal to a percent, you are expressing how many parts out of 100 the number represents.
The word “percent” comes from Latin per centum, meaning “by the hundred.” This is why converting from decimal to percent involves multiplying the decimal by 100. You are scaling the number so that the whole equals 100 units.
In this case, the decimal 0.007 is a very small number. If you multiply it by 100, you are asking, “What is 0.007 out of 1, when expressed as a part of 100?” Doing the multiplication:0.007×100=0.70.007 \times 100 = 0.70.007×100=0.7
This tells you that 0.007 is 0.7 percent. In other words, if you had 100 equal parts, 0.007 would represent 0.7 of one part.
You can also think of this conversion in terms of place value. The digit 7 in 0.007 is in the thousandths place, meaning 7 out of 1,000. When you convert this to percent, you want to express it out of 100 instead. Since 1,000 is ten times 100, the percent will be ten times smaller than the number 7. That gives:7÷10=0.77 \div 10 = 0.77÷10=0.7
So, 0.007 = 0.7% is the correct and equivalent percentage.
