Download 1-4 Practice with Numbers and Algebra

IB Math Studies Yr 1
Name_________________________________
Date_______________
1-4 Practice with Numbers and Algebra
Today’s Learning Goals:
#1: How can we use our prior math knowledge of place value to help us round numbers?
#2: How do we round a number using significant figures?
#3: How do we convert in and out of scientific notation?
#4: How do we convert numbers between units using the International System of Measure?
Warm-Up:
1. Round the following:
a. 225, 673 to the nearest 10 thousands
b. 225, 673 to the nearest hundred
2. The crowd at a rugby game match was officially
26, 247 people.
a. Round the crowd size to 2 significant figures
b. Round the crowd size to 4 significant figures
3. Write the following 34,567.26 in scientific
notation.
4. Write the following as a decimal: 1.256 x 10-3
5. Convert 2.356km to millimeters.
6. Write in scientific notation: 0.000467
7. Write as an ordinary number without exponents:
5.61 x 105
8. Round to 3 significant figures: 89,475
1. A rectangular classroom has a length of 3.4 X 103 cm and a width of 2.7 X 103 cm.
a. Find the area of the field in cm2.
b. Find the area of the field in m2.
IB Math Studies Yr 1
Practice IB Questions
1. Calculate 3.7 × 16.22 – 500, writing your answer
a. correct to two decimal places;
b.
(i)
correct to three significant figures;
(ii)
in the form 𝑎 x 10𝑘 , 𝑤ℎ𝑒𝑟𝑒 1 ≤ 𝑎 < 10 𝑎𝑛𝑑 𝑘 𝜖 ℕ
2. A girl’s height is 1.623 m. Write her height to the nearest cm.
3. The attendance at a show was 2591 people. How many people, to the nearest 100, were at the show?
4. The mean distance of the Moon from the Earth is approximately 384,403 km. Write this distance in
the form 𝑎 x 10𝑘 , 𝑤ℎ𝑒𝑟𝑒 1 ≤ 𝑎 < 10 𝑎𝑛𝑑 𝑘 𝜖 ℕ
5. Let m = 6.0 ×103 and n = 2.4 ×10–5. Express each of the following in the form:
𝑎 x 10𝑘 , 𝑤ℎ𝑒𝑟𝑒 1 ≤ 𝑎 < 10 𝑎𝑛𝑑 𝑘 𝜖 ℕ
a. mn
b.
m
n
IB Math Studies Yr 1
6. Let A = 4.5 × 10–3 and B = 6.2 × 10–4. Give your answers in the form: 𝑎 x 10𝑘 , 𝑤ℎ𝑒𝑟𝑒 1 ≤ 𝑎 <
10 𝑎𝑛𝑑 𝑘 𝜖 ℕ find
a. AB;
b. 2(A + B)
7. A rectangle has length 2.6 × 104 meters and width 1.9 × 104 meters.
a. Find the area of the rectangle in square meters
b. Find the area of the rectangle in square kilometers
c. Find the perimeter of the rectangle
8. Using the formula V = r2 (H – h), and calculate the value of V when r = 4.26, H = 21.58 and
h = 14.35.
a. Give the full calculator display.
b. Give your answer to two decimal places.
c. Give your answer to two significant figures.
d. Write your answer to part (c) in the form 𝑎 x 10𝑘 , 𝑤ℎ𝑒𝑟𝑒 1 ≤ 𝑎 < 10 𝑎𝑛𝑑 𝑘 𝜖 ℕ find
IB Math Studies Yr 1
Name ____________________________________
Date ______
Unit 1 Check-In
IB Math Studies Year 1
Directions: Complete each question to the best of your ability. You are encouraged to show work and use your
calculator.
1. Round 6.376 to
a. 1 decimal place (tenths)
b. 3 significant figures
2. Express the following quantity as ordinary decimal: Jupiter has a radius of 1.43 x 105 km.
3. A baker’s yeast cell is approximately 4.5 x 10-6 m in diameter.
a. Write this value as an ordinary decimal without exponents.
b. Convert this value to millimeters (mm).
4. Write in scientific notation: A bacteria has a diameter of 0.000 000 42cm.
5. Evaluate correctly to 3 significant figures:
16.52−0.041
4.2+1.35