Mastering Expanded Form: How to Break Down Numbers Step-by-Step ✍️

Writing a number in expanded form involves breaking it down into its place values and writing it as a sum of each digit multiplied by its corresponding power of ten. Here’s how to do it:<br /><br />1. **Identify the place value of each digit** in the number.<br />2. **Multiply each digit by its place value**.<br />3. **Write the number as a sum** of these products.<br /><br />### Example<br />Let’s take the number 4,567 as an example.<br /><br />1. The place values are:<br /> - 4 in the thousands place<br /> - 5 in the hundreds place<br /> - 6 in the tens place<br /> - 7 in the ones place<br /><br />2. Multiplying each digit by its place value:<br /> - 4 × 1,000 = 4,000<br /> - 5 × 100 = 500<br /> - 6 × 10 = 60<br /> - 7 × 1 = 7<br /><br />3. Writing it as a sum:<br /> - 4,567 = 4,000 + 500 + 60 + 7<br /><br />### Another Example<br />For a number with a decimal, like 3,482.56:<br /><br />1. The place values are:<br /> - 3 in the thousands place<br /> - 4 in the hundreds place<br /> - 8 in the tens place<br /> - 2 in the ones place<br /> - 5 in the tenths place<br /> - 6 in the hundredths place<br /><br />2. Multiplying each digit by its place value:<br /> - 3 × 1,000 = 3,000<br /> - 4 × 100 = 400<br /> - 8 × 10 = 80<br /> - 2 × 1 = 2<br /> - 5 × 0.1 = 0.5<br /> - 6 × 0.01 = 0.06<br /><br />3. Writing it as a sum:<br /> - 3,482.56 = 3,000 + 400 + 80 + 2 + 0.5 + 0.06<br /><br /><br />#math #expandedform #mathoguide