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Convert between standard and expanded form – Exercise

In Grade 5 Math, students learn to convert between standard and expanded form. Standard form is the usual way of writing a number, such as 567. Expanded form, on the other hand, breaks down a number into its place values, such as 500 + 60 + 7 for 567.

This skill is important for understanding how numbers are constructed and for performing operations with them, such as addition and subtraction. By breaking down numbers into their place values, students can more easily understand the relationship between digits and their corresponding value. This can also help with mental math and estimation skills.

To convert a number from standard form to expanded form, we need to break down the number into its place values. Each digit in a number has a specific place value based on its position. The place values of digits from left to right are units, tens, hundreds, thousands, ten thousands, hundred thousands, and so on.

For example, let’s convert the number 3,754 into expanded form:

- Start with the digit in the largest place value, which is the thousands place (3).
- Write down the place value (3,000) and add it to the expanded form.
- Move to the next digit in the number, which is in the hundreds place (7).
- Write down the place value (700) and add it to the expanded form.
- Move to the next digit, which is in the tens place (5).
- Write down the place value (50) and add it to the expanded form.
- Move to the next digit, which is in the units place (4).
- Write down the place value (4) and add it to the expanded form.
- The expanded form of 3,754 is 3,000 + 700 + 50 + 4.

Here are some more examples:

- 8,931 in expanded form is 8,000 + 900 + 30 + 1.
- 6,205 in expanded form is 6,000 + 200 + 5.
- 42,918 in expanded form is 40,000 + 2,000 + 900 + 10 + 8.

To summarize, converting a number from standard form to expanded form involves breaking it down into its place values, starting with the largest place value and working your way down to the units place.