Answer:
The area of the rectangle is 12 cm² ⇒ in 2 significant figures
Step-by-step explanation:
* Lets talk about the significant figures
- All non-zero digits are significant
# 73 has two significant figures
- Zeroes between non-zeros digits are significant
# 105.203 has six significant figures
- Leading zeros are never significant
# 0.00234 has three significant figures
- In a number with a decimal point, zeros to the right of the last
non-zero digit are significant
# 19.00 has four significant figures
- Lets make a number and then approximate it to different significant
∵ 12.7360 has 6 significant figures
∴ 12.736 ⇒ approximated to 5 significant figures
∴ 12.74 ⇒ approximated to 4 significant figures
∴ 12.7 ⇒ approximated to 3 significant figures
∴ 13 ⇒ approximated to 2 significant figures
∴ 10 ⇒ approximated to 1 significant figure
- Another number with decimal point
∵ 0.0546700 has 6 significant figures
∴ 0.054670 ⇒ approximated to 5 significant figures
∴ 0.05467 ⇒ approximated to 4 significant figures
∴ 0.0547 ⇒ approximated to 3 significant figures
∴ 0.055 ⇒ approximated to 2 significant figures
∴ 0.05 ⇒ approximated to 1 significant figures
* Lets solve the problem
∵ The width of the rectangle is 2.1 cm
∵ The length of the rectangle is 5.6 cm
- Area of the rectangle = length × width
∴ Area of the rectangle = 2.1 × 5.6 = 11.76 cm²
- Approximate it to two significant figures
∴ Area of the rectangle = 12 ⇒ to the nearest 2 significant figures
* The area of the rectangle is 12 cm² ⇒ in 2 significant figures
