Which of the following is equal to 4/10?a)0.04b)0.4c)0.40d)both b and ...
Understanding Fractions and Decimals
When we talk about fractions and decimals, it's important to understand how they relate to each other. The fraction 4/10 can be converted into a decimal by dividing the numerator (4) by the denominator (10).
Converting 4/10 to Decimal
- To convert 4/10 into a decimal, perform the division:
- 4 ÷ 10 = 0.4
Options Analysis
Now, let's analyze the options provided:
- a) 0.04: This is much smaller than 0.4.
- b) 0.4: This is exactly the result of our division and is equal to 4/10.
- c) 0.40: This is equivalent to 0.4 because in decimal notation, trailing zeros do not change the value.
- d) both b and c: Since both 0.4 and 0.40 represent the same value, this option is correct.
Correct Answer
Therefore, the correct answer is option 'D' because both 0.4 and 0.40 are equal to the fraction 4/10.
Conclusion
In summary, 4/10 is equal to both 0.4 and 0.40. Understanding how fractions convert to decimals helps in grasping more advanced mathematical concepts.
Which of the following is equal to 4/10?a)0.04b)0.4c)0.40d)both b and ...
4/10 = 0.4 = 0.40 (adding zeros after decimal doesn’t change value).