The addition of two numbers 6-75- 103 cm and 4-52 - 102 cm with regard to significant figures is-

The correct option is A 7.20 × 10^3 cm a=6.75× 10 ^ 3 cm b=0.452 #160;× 10^3 cm #160; #160; #160; a+b= ( 6.75× 10^3+0.452× 10^3 ) ...

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Byju's Answer

Standard VII

Mathematics

Determination of Significant Digits in a Number

The addition ...

Question

The addition of two numbers $6.75 \times 10^{3}$ cm and $4.52 \times 10^{2}$ cm with regard to significant figures is:

7.20 \times 10^{3}

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7.20 \times 10^{3}

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7.20 \times 10^{4}

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None of these

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Solution

The correct option is A $7.20 \times 10^{3}$ cm
$a = 6.75 \times 10^{3}$ cm
$b = 0.452 \times 10^{3}$ cm

$a + b = (6.75 \times 10^{3} + 0.452 \times 10^{3})$ cm
$= 7.202 \times 10^{3}$ cm
$= 7.20 \times 10^{3}$ cm as the number of significant figures is the smaller of the no of significant figures in a and b.

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Similar questions

Q. Find the number from each of the following expanded forms:
(i) 7 × 10⁴ + 6 × 10³ + 0 × 10² + 4 × 10¹ + 5 × 10⁰
(ii) 5 × 10⁵ + 4 × 10⁴ + 2 × 10³ + 3 × 10⁰
(iii) 9 × 10⁵ + 5 × 10² + 3 × 10¹
(iv) 3 × 10⁴+ 4 × 10² + 5 × 10⁰

Write the numeral whose expanded form is given below:
(i) $6 \times 10^{4} + 3 \times 10^{3} + 0 \times 10^{2} + 7 \times 10^{1} + 8 \times 10^{0}$
(ii) $9 \times 10^{6} + 7 \times 10^{5} + 0 \times 10^{4} + 3 \times 10^{3} + 4 \times 10^{2} + 6 \times 10^{1} + 2 \times 10^{0}$
(iii) $8 \times 10^{5} + 6 \times 10^{4} + 4 \times 10^{3} + 2 \times 10^{2} + 9 \times 10^{1} + 6 \times 10^{0}$

How many significant figures are there in the product:

$(2.156 \times 10^{1}) \times (4.567891 \times 10^{2}) \times (5.1102 \times 10^{3})$

Q. What is number of significant figures in

0.310 \times 103

$(\frac{1}{10}) + {(\frac{1}{10})}^{2} + {(\frac{1}{10})}^{3} + {(\frac{1}{10})}^{4} =$ ?

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The addition of two numbers 6.75×103 cm and 4.52×102 cm with regard to significant figures is:

The correct option is A 7.20×103 cma=6.75×103 cmb=0.452×103 cm a+b=(6.75×103+0.452×103) cm =7.202×103 cm =7.20×103 cm as the number of significant figures is the smaller of the no of significant figures in a and b.

The addition of two numbers $6.75 \times 10^{3}$ cm and $4.52 \times 10^{2}$ cm with regard to significant figures is: