Study Notes
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 degree 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 — the value of digits in a decimal number, where digits to the left of the decimal point represent whole numbers and those to the right represent parts. 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.
- Decimal place value involves digits to the left and right of the decimal point.
- Rounding simplifies numbers to a specified degree of accuracy.
Common Confusions
- Confusing the place value of digits in large numbers.
- Misunderstanding which digit to look at when rounding.
Typical Exam Questions
- What is the place value of 7 in 3,745? The place value of 7 is 700.
- Round 56.78 to the nearest whole number. 57
- Which is greater: 0.5 or 0.05? 0.5 is greater.
What Examiners Usually Test
- Understanding of place value in both whole numbers and decimals.
- Ability to round numbers correctly to various degrees of accuracy.
- Comparing and ordering numbers and fractions.