2.1 Number and Rounding

• What is an example of a decimal number?

  3.14
• In the integer 4,567, the digit 4 is in the thousands
• Mastering place value is essential for performing operations like addition and subtraction.


  True
• Steps to round a number

  1️⃣ Identify the rounding digit

  2️⃣ Look at the next digit to the right

  3️⃣ If the next digit is 5 or greater, increase the rounding digit by 1
• What does place value refer to?

  Digit's value based on position
• Whole numbers, including positive, negative, and zero, are called integers
• Match the number type with its description:

  Integers ↔️ Whole numbers, including positive, negative, and zero

  Decimals ↔️ Numbers with a fractional part after the decimal point

  Fractions ↔️ Ratios of two integers, denominator ≠ 0
• What do you do if the next digit to the right of the rounding digit is 5 or greater?

  Increase the rounding digit by 1
• In the decimal 3.14, the digit 4 is in the hundredths
• In decimals, digits to the right of the decimal point represent fractions of 10
• Steps to round a number

  1️⃣ Identify the rounding digit

  2️⃣ Look at the next digit

  3️⃣ If the next digit is 5 or greater, increase the rounding digit by 1; otherwise, keep it as is
• Match the rounding type with its rule:

  Nearest 10 ↔️ Look at the ones digit

  Nearest 100 ↔️ Look at the tens digit

  Nearest 1000 ↔️ Look at the hundreds digit
• To round 3.14 to the nearest tenth, the result is 3.1
• What are significant figures used for?

  Indicate the accuracy of measurements
• Trailing zeros after the decimal point are significant.


  True
• Match the number type with its definition:

  Integer ↔️ Whole numbers, including positive, negative, and zero

  Decimal ↔️ Numbers with a fractional part after the decimal point

  Fraction ↔️ Ratios of two integers, with the denominator not equal to zero
• In the number 3.14, the digit 1 is in the tenths place.

  True
• In the fraction 5/8, what does the numerator represent?

  Parts counted
• What is the rounding digit when rounding 3.14 to the nearest tenth?

  1
• When rounding to the nearest 1000, look at the hundreds digit.
• Match the next digit with the action to take in rounding to decimal places:

  5 or greater ↔️ Increase the rounding digit by 1

  Less than 5 ↔️ Keep the rounding digit as is
• How many significant figures does the number 1007 have?

  4
• Leading zeros before the first non-zero digit are significant.

  False
• Trailing zeros in whole numbers are always significant.

  False
• Steps for rounding to the nearest 10, 100, or 1000

  1️⃣ Look at the relevant digit (ones, tens, or hundreds).

  2️⃣ If the digit is 5 or more, round up.

  3️⃣ If the digit is less than 5, round down.
• When rounding to decimal places, if the next digit is 5 or greater, you increase the rounding digit by one
• Rounding the wrong digit is a common rounding error.


  True
• What do the numerator and denominator represent in a fraction?

  Relative size of fraction
• What happens to the rounding digit if the next digit is 5 or greater?

  Increases by 1
• What is the first step in rounding to a specific decimal place?

  Identify the rounding digit
• Match the rule for significant figures with its description:

  Non-zero digits ↔️ All are significant

  Zeros between non-zero digits ↔️ Always significant

  Trailing zeros after the decimal ↔️ Significant

  Leading zeros ↔️ Not significant
• Integers include positive, negative, and zero.


  True
• How many significant figures does the number 350. have?

  3
• Integers include positive, negative, and zero
• What does place value refer to in a number?

  Digit's value based on its position
• Mastering place value helps in addition, subtraction, multiplication, and division.
• When rounding to the nearest 10, look at the ones digit.


  True
• When rounding, always replace digits to the right of the rounding digit with zeros.


  True
• What is 3.14 rounded to the nearest tenth?

  3.1
• Leading zeros before the first non-zero digit are not significant.