Convert between standard and expanded form – Exercise 2
In grade 5 math, students learn to convert between standard and expanded form for 7-digit numbers. Standard form is the way we normally write a number, with commas separating groups of three digits from right to left. Expanded form shows the value of each digit in a number by breaking it down into its place values.
To convert a 7-digit number from standard to expanded form, we need to identify the digit in each place value and write it out. Starting from the leftmost digit, the place values are millions, hundred thousands, ten thousands, thousands, hundreds, tens, and units. For example, the number 6,784,321 can be written in expanded form as:
6,000,000 + 700,000 + 80,000 + 4,000 + 300 + 20 + 1
To convert a 7-digit number from expanded to standard form, we need to add up the value of each digit in its respective place value. For example, the number 5,000,000 + 400,000 + 30,000 + 2,000 + 500 + 70 + 3 can be written in standard form as:
It’s important for students to understand the place value system and how to convert between standard and expanded form for 7-digit numbers, as it lays the foundation for more complex mathematical concepts such as adding, subtracting, multiplying, and dividing large numbers.