1.1.2 Performing calculations with integers and decimals

• Where do integers fall when plotted on a number line?

  Specific points
• Match the type of integer with an example:

  Positive Integer ↔️ 3

  Negative Integer ↔️ -5

  Zero ↔️ 0
• How do you add two positive integers?

  Add the numbers together
• Match the decimal type with its example:

  Positive Decimal ↔️ 10.7

  Negative Decimal ↔️ -3.2
• What is the result of dividing a positive integer by a negative integer, such as 20 ÷ -5?

  -4
• If there is a remainder in decimal division, you can continue dividing past the decimal point.

  True
• When adding decimals, you should add the digits column by column starting from the right.

  True
• The quotient of 7.5 divided by 1.5 is 5.

  True
• 5.7 - 3.2 = 2.5

  True
• Integers include fractions and decimals.

  False
• What are integers?

  Whole numbers
• What is the result of multiplying a positive integer by a positive integer?

  Positive
• What is the result of dividing 7.5 by 1.5?

  5
• Steps to divide 7.5 by 1.5:

  1️⃣ Multiply both numbers by 10 to remove the decimal point

  2️⃣ Divide the resulting whole numbers (75 ÷ 15)

  3️⃣ Determine the quotient
• Decimals can be either positive or negative.

  True
• Adding two negative integers results in a positive integer.

  False
• Match the operation with its example and result:

  Positive + Positive ↔️ 3 + 4 = 7

  Negative + Negative ↔️ -2 + (-5) = -7

  Positive + Negative ↔️ 8 + (-3) = 5

  Negative + Positive ↔️ (-5) + 2 = -3
• What should you do if the sum of a column is more than 9 when adding decimals?

  Carry over
• Steps to subtract a negative integer from a positive integer:

  1️⃣ Change the subtraction to addition.

  2️⃣ Reverse the sign of the negative integer.

  3️⃣ Add the numbers.
• Dividing a negative integer by a negative integer results in a positive integer.

  True
• What should you do after dividing as whole numbers in decimal division?

  Bring down the decimal
• What must be aligned when dividing decimals?

  Decimal points
• When subtracting a smaller positive integer from a larger one, the result is always positive.

  True
• Steps to add decimals correctly

  1️⃣ Line up the decimal points

  2️⃣ Add digits column by column

  3️⃣ Carry over if a sum is more than 9

  4️⃣ Place the decimal point in the result
• Where should the decimal point be placed in the result when subtracting decimals?

  Directly below
• Dividing decimals is easier when the numbers are whole.

  True
• What is the process of dividing decimals compared to in the introduction?

  Sharing candy
• When multiplying decimals, place the decimal point in the result by counting the total decimal places in the numbers being multiplied.

  True
• 2.5 + 3.2 equals 5.7 when added correctly.

  True
• How should decimal points be aligned when subtracting decimals?

  Vertically
• Matching the signs is crucial to determine the final result when multiplying integers.

  True
• Match the operation with its example and result:

  Positive × Positive ↔️ 3 × 4 = 12

  Negative × Negative ↔️ -2 × -5 = 10

  Positive × Negative ↔️ 6 × -3 = -18
• What should you do first when adding decimals?

  Line up decimal points
• Steps to subtract decimals

  1️⃣ Line up the decimal points vertically

  2️⃣ Subtract column by column from right to left

  3️⃣ Carry over as needed

  4️⃣ Place the decimal point in the result
• Steps to multiply integers:

  1️⃣ Multiply the numbers like whole numbers

  2️⃣ Consider the signs

  3️⃣ Determine the final result based on the sign rules
• What is the result of dividing a positive integer by a positive integer, such as 12 ÷ 4?

  3
• Positive times negative is always negative.

  True
• Steps to divide decimals

  1️⃣ Write the problem

  2️⃣ Align the decimal points

  3️⃣ Divide as whole numbers

  4️⃣ Bring down the decimal

  5️⃣ Consider remainders
• What do you do when adding a positive and a negative integer where the positive number is larger?

  Subtract the negative number