Write the decimal form of 3/8 to the place value specified
The Correct Answer and Explanation is:
The decimal form of 3/8 is 0.375.
Explanation:
To convert a fraction to decimal form, you divide the numerator (top number) by the denominator (bottom number). In this case, divide 3 by 8.
Step 1: Perform the division:
3 ÷ 8 = 0.375
This means that 3/8 is exactly equal to 0.375 in decimal form.
Place Value Breakdown:
In the decimal 0.375, the digits fall into the following place values:
- The 3 is in the tenths place
- The 7 is in the hundredths place
- The 5 is in the thousandths place
If the question asks to write the decimal form to a specific place value, you simply round the decimal to that position. For example:
- To the tenths place: Look at the hundredths digit, which is 7
Since 7 is greater than or equal to 5, round up
So, 0.375 becomes 0.4 - To the hundredths place: Look at the thousandths digit, which is 5
Since 5 is greater than or equal to 5, round up
So, 0.375 becomes 0.38 - To the thousandths place: The exact value is 0.375, so no rounding is needed
Understanding place values is important when expressing numbers in decimal form. Each place to the right of the decimal point is ten times smaller than the previous one. The first digit is tenths, followed by hundredths, thousandths, and so on. Converting fractions like 3/8 to decimals helps in comparing, calculating, or using them in real-life situations such as measurements or financial calculations. It also improves understanding of equivalent values between fractions and decimals, which is a key math skill.
