Question

watch the videos below to answer the following questions. multiplication and division with significant zeros rules for multiplying and dividing using significant digits add and subtract with significant figures rules for add and subtract with significant digits 1.) 140 cm x 35 cm (1 point) 4800 cm² 4900 cm² 2.) 5.88 kg ÷ 200 m³ (1 point) 0.02 kg/m³ 0.0294 kg/m³ 0.03 kg/m³ 0.029 kg/m³ 3.) 35,200 kj ÷ 0.250 min (1 point) 141,600 kj/min 150,000 kj/min 140,000 kj/min 140,800 kj/min 4.) 22.0 m + 5.20 m + 15.5 m (1 point) 42.78 m 42.7 m 42.8 m 43 m 5.) 14,200 kg + 6,000 kg + 580 kg (1 point)

Explanation:

Step1: Calculate 140 cm×35 cm

$140\times35 = 4900$. For multiplication with significant - figures, 140 has 2 significant figures and 35 has 2 significant figures. The result should be reported with 2 significant figures. In scientific notation, $4900$ can be written as $4.9\times10^{3}$ which is equivalent to 4900 when considering significant figures in this context. So the answer for 1) is $4900\ cm^{2}$.

Step2: Calculate 5.86 kg÷200 m³

$5.86\div200=0.0293$. 5.86 has 3 significant figures and 200 has 1 significant figure. When dividing, the result should be reported with 1 significant figure. Rounding 0.0293 to 1 significant figure gives 0.03 kg/m³. So the answer for 2) is 0.03 kg/m³.

Step3: Calculate 35200 kJ÷0.250 min

$35200\div0.250 = 140800$. 35200 has 4 significant figures and 0.250 has 3 significant figures. The result should be reported with 3 significant figures. Rounding 140800 to 3 significant figures gives 141000 kJ/min. So the answer for 3) is 141000 kJ/min.

Step4: Calculate 22.0 m + 5.20 m+15.5 m

$22.0 + 5.20+15.5=42.7$. When adding, we look at the decimal - place. The least number of decimal places among the numbers being added is 1 (in 22.0 and 15.5). So the result should be reported as 42.7 m. So the answer for 4) is 42.7 m.

Step5: Calculate 14200 kg+0.000 kg + 580 kg

$14200+0.000 + 580=14780$. When adding, we consider the significant - figures in the context of addition. The result should be reported as 14780 kg.

Answer:

1. 4900 cm²
2. 0.03 kg/m³
3. 141000 kJ/min
4. 42.7 m
5. 14780 kg