Maths 1.2 (numbers/intergers)

• What is the result of multiplying 0.7 by 0.5?

  1. 35
• What happens when you multiply two decimals that are both less than 1?

  • The result will be smaller than either of the original numbers.
• What are integers?


  Whole numbers that can be positive, negative, or zero
• What are decimals?


  Numbers with a decimal point representing parts of a whole
• What is a key characteristic of integers?


  They do not have decimal points
• How can decimals be classified?


  Decimals can be positive or negative
• Why is place value important in decimals?


  It determines the value of digits in tenths, hundredths, etc.
• What are the steps for addition and subtraction with decimals?


  1. Align decimal points
  2. Add or subtract as with whole numbers
  3. Keep the sign of the larger number
• What is the result of adding 3.14 and 2.68?


  1. 82
• Calculate: -8.3 + 5.7


  • 2.6
• Calculate: 4.8 - 6.2


  • 1.4
• Calculate: 7.5 - 3.2


  1. 3
• What are the steps for multiplication with integers and decimals?


  1. Multiply as if they were whole numbers
  2. Count decimal places in both factors
  3. Place the decimal point in the product with the total number of decimal places
  4. Determine the sign based on the rules of multiplication
• Calculate: 2.3 × 1.4


  1. 22
• Calculate: 1.5 × 0.2


  1. 3
• What are the steps for division with integers and decimals?


  1. For decimal ÷ whole number: Divide normally, keeping the decimal point in the same position
  2. For decimal ÷ decimal: Move decimal points to make the divisor a whole number, then divide
  3. For integers: Divide normally, following the same sign rules as multiplication
• What is the result of dividing 3.6 by 1.2?


  3
• Calculate: -12 ÷ 3


  • 4
• What happens to the sign when dividing integers?


  The sign follows the same rules as multiplication
• How many decimal places are in the product of 0.30 and 30?


  2 decimal places
• What is the first step in dividing a decimal by a whole number?


  Divide as normal, keeping the decimal point in the same position
• What should you do when dividing a decimal by a decimal?


  Move the decimal point in both numbers to the right until the divisor becomes a whole number
• What is the rule for the signs when dividing integers?


  Positive ÷ Positive = Positive; Negative ÷ Negative = Positive; Positive ÷ Negative = Negative
• How would you simplify the division of 4.8 by 0.6?


  Move the decimal points to get 48 ÷ 6
• What is the result of 4.8 ÷ 0.6?


  8
• What does BODMAS/BIDMAS stand for?


  Brackets, Orders, Division, Multiplication, Addition, Subtraction
• What is the first operation to perform in the expression 2 + 3 × 4?

  Multiplication
• What is the definition of mean?


  Average of a set of numbers
• What does the mean represent in a dataset?


  It represents the central tendency
• Why is the mean sensitive to extreme values?


  Because it includes all values in calculation
• What is the mean of the numbers 2, 4, 6, 8?


  5
• How do you calculate the mean?


  Add all numbers and divide by count
• What is the definition of range?


  Difference between highest and lowest values
• What does the range measure in a dataset?


  It measures the spread of data
• How do you calculate the range?

  Subtract the minimum from the maximum
• What is the range of the numbers 2, 4, 6, 8?


  6
• What are the steps to calculate the mean?


  Add all numbers, count values, divide
• What is the mean of the test scores 75, 80, 85, 90?


  82.5
• What is the range of the temperatures 45°F, 52°F, 38°F, 61°F?


  23°F
• What are the steps to calculate the range?


  Identify highest and lowest, subtract