1.3.3 Understanding and applying bounds of accuracy

• When adding measurements, the lower bounds are used to find the lower bound of the sum.

  True
• The upper bound is the smallest possible value a number could be before rounding down.

  False
• The lower bound of the area is calculated by multiplying the lower bounds of the width and length.

  True
• Steps to calculate the area bounds of a garden bed with uncertain measurements

  1️⃣ Determine the lower bounds of the width and length

  2️⃣ Determine the upper bounds of the width and length

  3️⃣ Calculate the lower bound of the area

  4️⃣ Calculate the upper bound of the area
• What is the upper bound for the length of the table measured as 150 cm to the nearest 10 cm?

  155 cm
• What is 278 rounded to the nearest 100?

  300
• What does rounding to the nearest whole number mean?

  Closest whole number
• What is the lower bound of the width of the garden bed, given that it measures 3 m ± 0.5 m?

  2.5 m
• What is the upper bound of a number that rounds to 2.5?

  2.55
• What is the upper bound of a number that rounds to 3.1?

  3.15
• The upper bound for a single measurement is found by adding half the rounding interval to the measured value.

  True
• Match the value with its lower bound:

  5.3 rounded to 0.1 ↔️ 5.25

  250 rounded to 10 ↔️ 245
• Match the measurement with its lower and upper bounds:

  A = 4.6 cm ↔️ Lower Bound: 4.55 cm, Upper Bound: 4.65 cm

  B = 3.2 cm ↔️ Lower Bound: 3.15 cm, Upper Bound: 3.25 cm
• What is the lower bound of a number that rounds to 2.5?

  2.45
• When rounding 250 to the nearest 10, the upper bound is 255.

  True
• What does the lower bound represent in bounds of accuracy?

  The smallest possible value
• The lower bound of A+B is 7.7 cm.

  True
• Rounding 3.14159 to 2 decimal places results in 3.14

  True
• What type of bounds are used when multiplying measurements to find the upper bound of the product?

  Upper bounds
• Match the operation with its bound calculation:

  Lower Bound of Multiplication ↔️ (Lower Bound of A) × (Lower Bound of B)

  Upper Bound of Multiplication ↔️ (Upper Bound of A) × (Upper Bound of B)

  Lower Bound of Division ↔️ (Lower Bound of A) ÷ (Upper Bound of B)

  Upper Bound of Division ↔️ (Upper Bound of A) ÷ (Lower Bound of B)
• What is the lower bound of a number that rounds to 3.1?

  3.05
• Upper and lower bounds define the range within which the actual number lies after rounding.

  True
• What is the total lower bound weight of all items in the gift bag?

  27.5g
• What is the upper bound of the area of the garden bed, given the dimensions 3 m ± 0.5 m and 4 m ± 0.5 m?

  15.75 m²
• Steps to find the upper bound of the total weight:

  1️⃣ Add 0.5g to each item's weight

  2️⃣ Calculate the total weight
• The lower bound weight of the bouncy ball is 7.5g.

  True
• What is the weight of the toy car rounded to the nearest gram?

  12g
• If the width of a phone is 7 cm ± 0.5 cm, the upper bound of the width is 7.5 cm.

  True
• Steps to calculate upper and lower bounds for a single measurement

  1️⃣ Identify the rounding interval

  2️⃣ Divide the rounding interval by two

  3️⃣ Subtract the result from the measured value to find the lower bound

  4️⃣ Add the result to the measured value to find the upper bound
• The lower bound of a multiplication is found using the upper bounds of the factors.

  False
• What is the total upper bound weight of all items in the gift bag?

  32.5g