Convert between place values

Learning Objectives Identify the value of each digit in multi-digit whole numbers and decimals. Explain the relationship between adjacent place values (e.g., a digit in one place represents 10 times as much as it represents in the place to its right). Convert a number from a larger place value unit to a smaller place value unit (e.g., ones to tenths). Convert a number from a smaller place value unit to a larger place value unit (e.g., hundredths to tenths). Express a given quantity using different place value units (e.g., 3 ones = 30 tenths = 300 hundredths). Apply place value conversion to solve simple real-world problems involving measurement or money. Ever wonder how 1 dollar can be 10 dimes or 100 pennies? 💰 It's all about place value and how numbers change when we...

TermDefinitionExample Place ValueThe value of a digit based on its position in a number. For example, in 345, the '3' is in the hundreds place, so its value is 300.In the number 5,281.79, the digit '2' is in the hundreds place, and the digit '7' is in the tenths place. DigitA single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).The number 45.6 has three digits: 4, 5, and 6. Whole NumberNumbers without fractions or decimals. They represent complete units.1, 50, 123, 1,000 are all whole numbers. Decimal NumberA number that includes a decimal point, representing parts of a whole.0.5, 3.25, 10.001 are all decimal numbers. Decimal PointThe dot that separates the whole number part from the fractional (decimal) part of a decimal number.In 25.75, the de...

Converting to a Smaller Place Value (Moving Right) $1 \text{ unit of a place value} = 10 \text{ units of the next smaller place value}$ When you convert a number to a place value one position to its right (making the units smaller), you multiply the number by 10. This is because you need 10 of the smaller units to make 1 of the larger unit. For each place you move to the right, you multiply by 10 (or shift the decimal point one place to the right). Converting to a Larger Place Value (Moving Left) $10 \text{ units of a place value} = 1 \text{ unit of the next larger place value}$ When you convert a number to a place value one position to its left (making the units larger), you divide the number by 10. This is because 10 units of a smaller place value combine to make 1 unit of...