1.1 Structure and Calculation

• The number with the higher digit in the highest place value is larger.


  True
• What do significant figures indicate in a number?

  Precision
• The number 0.012 has 2 significant figures.
• In multiplication/division, round the result to the fewest significant figures.


  True
• Trailing zeros are significant only if a decimal point is present.

  True
• When comparing and ordering numbers, compare the digits from left to right.
• Significant figures indicate the certainty or precision of a number.
• Trailing zeros are significant only if the number has a decimal point.
• Match the type of number with the rule for counting significant figures:

  Non-zero digits ↔️ All non-zero digits are significant

  Zeros between non-zero digits ↔️ Zeros between non-zero digits are significant

  Leading zeros ↔️ Leading zeros are not significant

  Trailing zeros ↔️ Trailing zeros are significant only if a decimal point is present
• Zeros between non-zero digits are significant.


  True
• Steps for using significant figures in addition/subtraction

  1️⃣ Perform the addition or subtraction

  2️⃣ Identify the number with the least precise decimal places

  3️⃣ Round the result to that precision
• 2003 has 4 significant figures.
• What is standard form used to express numbers in mathematics?

  Compact representation
• Steps to convert a number to standard form

  1️⃣ Identify the first non-zero digit from the left

  2️⃣ Move the decimal point to the left of the first non-zero digit

  3️⃣ Count the number of places the decimal point was moved

  4️⃣ Write the number in the form a × 10^b
• If two directed numbers have the same sign, the one with the larger absolute value is greater
• Order of operations according to BODMAS

  1️⃣ Brackets

  2️⃣ Orders

  3️⃣ Division

  4️⃣ Multiplication

  5️⃣ Addition

  6️⃣ Subtraction
• What is the final answer for 10 + (6 × 3) - 2^2 ÷ 2 using BODMAS?

  26
• What does each digit in a number depend on to determine its value?

  Its position
• What is the place value of the digit 3 in the number 3,456?

  Thousands
• In the example comparing 1,234 and 1,243, which tens digit is larger?

  4
• Steps for counting significant figures

  1️⃣ Identify non-zero digits

  2️⃣ Count zeros between non-zero digits

  3️⃣ Exclude leading zeros

  4️⃣ Include trailing zeros only if a decimal point is present
• The number 12.00 has 4 significant figures.


  True
• How many significant figures does the number 123 have?

  3
• Which type of digits are always significant in a number?

  Non-zero digits
• In the example comparing 1,234 and 1,243, which tens digit is larger?

  4
• Which type of zeros are always significant in a number?

  Zeros between non-zero digits
• What do you round to in addition/subtraction with significant figures?

  Least precise decimal places
• What do significant figures indicate in a number?

  Certainty and precision
• Are leading zeros significant in a number?

  No
• How should the result of multiplication or division be rounded when using significant figures?

  Fewest significant figures
• How many significant figures does 0.012 have?

  2
• A number in standard form is written as a × 10^b, where 'a' is between 1 and 10
• What type of numbers do directed numbers include?

  Positive and negative
• What sign is used in the addition of directed numbers if the absolute values are added and the larger number is negative?

  Negative
• (2 + 3) × 4 simplifies to 20 using BODMAS.
• Calculating the cost of a shopping list using BODMAS results in $17.


  True
• In 3,456, the digit 4 represents 4 hundreds
• What place value is compared first when ordering 1,234 and 1,243?

  Tens
• Zeros between non-zero digits are significant.


  True
• When comparing and ordering numbers, you should compare the digits from left to right