1.1 Structure and Calculation

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    • The decimal system is also known as the base-10 system.

      True
    • When subtracting, you must regroup if a larger digit cannot be subtracted from a smaller one.
      True
    • When adding, regrouping is necessary if the sum in a column exceeds the place value.

      True
    • In multiplication, the numbers being multiplied are called factors.
    • Regrouping in subtraction involves borrowing from the next column if a larger digit cannot be subtracted from a smaller one.

      True
    • Division is the process of distributing a quantity into equal parts.

      True
    • BODMAS and PEMDAS are mnemonics for remembering the order of operations.

      True
    • Understanding BODMAS is essential for solving complex arithmetic expressions.
      True
    • The decimal system is also known as base-10
    • What is the result of adding 257 + 185?
      442
    • In division, the number being divided is called the dividend
    • The first operation in BODMAS is brackets
    • What does the 'O' in BODMAS stand for?
      Orders
    • Match the operation with its correct order in BODMAS.
      Brackets ↔️ 1
      Exponents ↔️ 2
      Division ↔️ 3
      Multiplication ↔️ 4
      Addition ↔️ 5
      Subtraction ↔️ 6
    • The hundredths place in decimals is represented by 0.01
    • In the decimal number system, the value of each digit is determined by its position relative to the decimal point
    • Steps to add or subtract decimal numbers
      1️⃣ Align the decimal places
      2️⃣ Perform the operation column by column
      3️⃣ Start from the right
    • In the number 3,456, what does the digit 4 represent?
      4 hundreds
    • Why is understanding place value essential for arithmetic operations?
      Working with numbers effectively
    • Steps to perform addition in arithmetic
      1️⃣ Line up the numbers by place value
      2️⃣ Add the ones column, then the tens, hundreds, etc.
      3️⃣ Regroup if the sum exceeds the place value
    • What is the first step in performing addition with multi-digit numbers?
      Line up by place value
    • What is multiplication defined as in arithmetic?
      Repeated addition
    • In division, what is the number being divided called?
      Dividend
    • In the order of operations, brackets are always performed first
    • In the number 3,456, what does the digit 4 represent?
      4 hundreds
    • Arrange the following terms in their correct relationship:
      1️⃣ Factors
      2️⃣ Multiplication
      3️⃣ Multiples
    • The factors 3 and 4 multiply to give the multiple 12.

      True
    • The order of operations ensures consistency in calculations.
      True
    • The 'P' in PEMDAS stands for parentheses
    • What is the power of 10 for the tenths place in decimals?
      10^-1
    • To add decimal numbers, you must align the decimal places.
      True
    • What is the power of 10 for the hundredths place?
      10−210^{ - 2}
    • How do you place the decimal point in the product when multiplying decimal numbers?
      By counting decimal places
    • The ones place in a decimal number has a power of 10 equal to 0.

      True
    • Match the decimal place value with its notation and power of 10:
      Tenths ↔️ 0.1, 10−110^{ - 1}
      Hundredths ↔️ 0.01, 10−210^{ - 2}
      Ones ↔️ 1, 10010^{0}
      Thousandths ↔️ 0.001, 10−310^{ - 3}
    • The numerical value that a digit has because of its position in a number is called its place value.
    • Steps to perform addition in arithmetic
      1️⃣ Line up the numbers by place value
      2️⃣ Add the ones column, then the tens, hundreds, etc.
      3️⃣ Regroup if the sum exceeds the place value
    • The decimal system is also known as the base-10 system.
    • What is the purpose of regrouping in subtraction?
      Borrow from the next column
    • Regrouping is necessary in addition if the sum in a column exceeds the place