perform each calculation to the correct number of significant figures 89.763/22.

Question

perform each calculation to the correct number of significant figures 89.763/22.4581=3.997

(b) (568.99- 232.1)+ 5.3 (c) (9443 +45-9.9) x 8.1 x 106 (d) (3.14 x 2.4367)-2.34 7. Correct any answers that have the i figures. a) : 78.56-9.44) × 45.6 = 3152 ) (8.9% 105 ÷ 2.348 × 102) + 121-3.9 c) (45.8 3.2) 12.3 2 d) (4.5 x 103-1.53x 103) 34.5 86 8. Correct any answers that have thei figures. a) (908.4 3.4) 3.52 x 104 0.026 b) (1206.7 0.904) x 89 1.07 x 105 c) (876.90 + 98.1) ÷ 56.998 = 17.11 d) (4.55+ 407859) +1.00098 1.00210 NIT CONVERSION

Explanation / Answer

Calculations of Significant Figures with mixed Operations:

When doing a calculation that involves only multiplication and/or division, you can do the entire
calculation then round the answer to the correct number of significant figures at the end. The
same is true for a calculation that involves only addition and/or subtraction.

When doing calculations that involve both multiplication or division and addition or subtraction,
first do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

Given the problems are:

b) (568.99 - 232.1)/5.3

This question is a mixture of addition and division.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

568.99 - 232.1 = 336.89 = 336.9 ( since,232.1 has only one decimal place)

336.9/5.3 = 63.56603 = 63.6 (since,5.3 has only one decimal place)

The answer is 63.6

c) (9443+45- 9.9)*8.1*106

This question is a mixture of addition ,subtraction and multiplication.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(9443+45- 9.9)= 9478.1(since,9.9 has only one decimal place)

9478.1*8.1*106 = 7.677*1010 = 7.7(since,8.1 has only one decimal place)

The answer is 7.7

d)(3.14*2.4367)-2.34

This question is a mixture of subtraction and multiplication.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(3.14*2.4367)= 7.651238 = 7.65(since,3.14 has only two decimal place)

7.65-2.34=5.31(since,2.34 has only two decimal place)

The answer is 5.31

7. a) (78.56 -9.44)*45.6 = 3152

This question is a mixture of subtraction and multiplication.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(78.56-9.44)=69.12(since,9.44 has only two decimal place)

69.12*45.6 = 3151.872 = 3151.9(since,45.6 has only one decimal place)

Hence the correct answer is (78.56 -9.44)*45.6 =3151.9

b)(8.9*105 / 2.348*102) +121 = 3.9

This question is a mixture of division and addition.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(8.9*105 / 2.348*102)=3790.459966=3790.5(since,8.9 has only one decimal place)

3790.5+121= 3911.5= 3.9*103(since,3790.5 has only one decimal place)

The answer is 3.9 and hence, it is correct.

c) (45.8 /3.2)-12.3 = 2

This question is a mixture of division and subtraction.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(45.8 /3.2)=14.3125=14.3(since,3.2 has only one decimal place)

14.3-12.3 = 2

Hence, the given answer is correct.

d) (4.5*103 - 1.53*103)/34.5 = 86

This question is a mixture of subtraction and division.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(4.5*103 - 1.53*103)=2.97*103= 3.0*103(since,4.5*103 has only one decimal place)

3.0*103/34.5=86.956=87.0(since,34.5 has only one decimal place)

Hence, the answer is incorrect.

8. a) (908.4-3.4)/3.52*104 = 0.026

This question is a mixture of subtraction and division.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(908.4-3.4)=905.0(since,3.4 has only one decimal place)

905.0/3.25*104= 0.027846 =0.0 (since,905.0 has only one decimal place)

Hence, the answer is not correct.

b)(1206.7 - 6.904)*89 = 1.07 *105

This question is a mixture of subtraction and multiplication.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(1206.7 - 6.904)=1199.796=1199.8(since,1206.7 has only one decimal place)

1199.8*89=106782.2=1.06782*105 = 1.07*105 (since,1199.8has only one decimal place)

Hence, the answer is correct.

c)(876.90+98.1)/56.998 = 17.11

This question is a mixture of addition and division.

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(876.90+98.1)=975.0(since,98.1 has only one decimal place)

975.0/56.998=17.10586336 = 17.1 (since,975.0 has only one decimal place)

Hence. the given answer is not correct.

d)(4.55/407859)+1.00098 = 1.00210

This question is a mixture of division and addition .

Hence,first we do a calculation for the operation shown in parenthesis and round that value to the correct
number of significant figures, then use the rounded number to carry out the next operation.

(4.55/407859)=1.11558161*10-5= 1.1*10-5(since,407859.0 has only one decimal place)

1.1*10-5+ 1.00098=1.00099(since,1.00098 has only five decimal place)

Hence, the answer is incorrect.

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