Question

1. calculate the multiplication & division with the correct no. of significant figures.

the rule for multiplication & division, answer must be in lowest significant figures as the lowest value.
a. 40. x 2.0 =
b. 2.00 / 1.5 =
c. 500. x 2.0 =
d. 5000. / 5.0 =

Explanation:

Step1: Perform addition for 38.7 + 45.1

Add the two numbers: $38.7+45.1 = 83.8$

Step2: Perform subtraction for 98.5 - 78

Subtract the second - number from the first: $98.5 - 78=20.5$

Step3: Perform addition for 8.37+4.34 + 2.0

First add 8.37 and 4.34: $8.37+4.34 = 12.71$. Then add 2.0 to the result: $12.71+2.0 = 14.71$

Step4: Perform subtraction for 75.23 - 34.1

Subtract the second number from the first: $75.23-34.1 = 41.13$

Step5: Perform multiplication for 40.×2.0

Multiply the two numbers: $40.\times2.0 = 80.$ (2 significant figures as 2.0 has 2 significant figures)

Step6: Perform division for 2.00÷1.5

$2.00\div1.5=\frac{2.00}{1.5}\approx1.3$ (2 significant figures as 1.5 has 2 significant figures)

Step7: Perform multiplication for 500.×2.0

Multiply the two numbers: $500.\times2.0 = 1000.$ (2 significant figures as 2.0 has 2 significant figures)

Step8: Perform division for 5000.÷5.0

$5000.\div5.0=\frac{5000.}{5.0}=1000.$ (2 significant figures as 5.0 has 2 significant figures)

Answer:

a. 83.8
b. 20.5
c. 14.71
d. 41.13
a. 80.
b. 1.3
c. 1000.
d. 1000.