7 hundreds 4 tens 1 ones so how to write them with standard form, expanded form, word form
The correct answer and explanation is:
Correct Answer:
- Standard Form: 741
- Expanded Form: 700 + 40 + 1
- Word Form: Seven hundred forty-one
Explanation (300 Words):
To understand how to write a number in standard form, expanded form, and word form, it is important to begin with what the digits represent. The number described has 7 hundreds, 4 tens, and 1 one. Each place value has a specific meaning in our base-10 number system.
The digit in the hundreds place, which is 7, represents 700. This is because 7 hundreds is equal to 7 times 100. The digit in the tens place is 4, which represents 40, since 4 tens equals 4 times 10. The digit in the ones place is 1, which stands for one single unit. Putting these values together, the number is 700 + 40 + 1, which equals 741.
The standard form is simply writing the number as it is, using digits only. So, 741 is the standard form of the number.
The expanded form shows the value of each digit based on its place value. It breaks down the number into the sum of each digit multiplied by its value. In this case, 700 + 40 + 1 is the expanded form.
The word form translates the number into written words. It is written as “seven hundred forty-one.” There is no use of the word “and” unless there is a decimal involved.
These different forms help in better understanding of numbers and their place values. They are useful when teaching or learning mathematics at elementary levels because they show how numbers are constructed and what each digit contributes to the whole number. They also help in improving numerical literacy, which is essential for solving more complex math problems in the future.