Write 5 tenths + 7 hundredths as a decimal.
The Correct Answer and Explanation is:
Answer:
5 tenths + 7 hundredths = 0.57
Explanation
To write 5 tenths + 7 hundredths as a decimal, we need to understand how decimal place values work. Each digit to the right of the decimal point represents a fraction based on powers of ten. The first digit to the right is the tenths place, and the second digit to the right is the hundredths place.
Let’s start with 5 tenths.
A tenth means one part out of ten. So 5 tenths is written as 0.5, which is the same as 5 divided by 10. This can also be written as the fraction 5/10, which equals 0.5 in decimal form.
Next, we consider 7 hundredths.
A hundredth means one part out of a hundred. So 7 hundredths is written as 0.07, which is the same as 7 divided by 100. In decimal form, that’s 0.07.
Now, let’s add these two decimal numbers:
0.5 + 0.07
To add them correctly, we must align the decimal points:
markdownCopyEdit 0.50
+ 0.07
______
0.57
We add the digits column by column starting from the rightmost digit. In the hundredths place, 0 + 7 = 7. In the tenths place, 5 + 0 = 5. The sum is 0.57.
So, 5 tenths + 7 hundredths equals 0.57 in decimal form.
To confirm this result using fractions:
5 tenths = 5/10
7 hundredths = 7/100
To add them, find a common denominator:
5/10 = 50/100
7/100 = 7/100
50/100 + 7/100 = 57/100 = 0.57
Both methods—using decimal addition and converting from fractions—lead to the same correct answer: 0.57.
