Summary
Place value helps determine the value of a digit based on its position in a number. Rounding is used to simplify numbers to a desired level of accuracy.
- Place Value — the value represented by a digit in a number based on its position. Example: In 452, the 5 is in the tens place, so it represents 50.
- Decimal Place Value — in decimal numbers, digits to the left of the decimal point are whole numbers, and digits to the right are parts of a whole. Example: In 0.08, the 8 is in the hundredths place, representing eight-hundredths.
- Rounding — adjusting a number to a specified degree of accuracy. Example: 38.7 rounded to the nearest whole number is 39.
Exam Tips
Key Definitions to Remember
- Place value is the value of a digit based on its position.
- Rounding is simplifying a number to a specified degree of accuracy.
Common Confusions
- Confusing the value of digits in different decimal places.
- Rounding incorrectly by not following the rounding rules.
Typical Exam Questions
- What is the place value of 5 in 452? The place value of 5 is 50.
- Round 38.7 to the nearest whole number. 38.7 rounds to 39.
- What is 0.08 in terms of hundredths? 0.08 is eight-hundredths.
What Examiners Usually Test
- Understanding of place value in whole numbers and decimals.
- Ability to round numbers correctly to different degrees of accuracy.