Question

10. Write the following numbers in scientific notation:
(i) 467800000000 (ii) 0.000001972 (ii) 1642.398
(iv) Earth's volume is about 1,083,000,000,000 cubic kilometres
(v) If you fill a bucket with dirt, the portion of the whole Earth that is in the bucket will be
0.0000000000000000000000016 kg
Numbers please help me please please please please​

Answer 1

Answer:

1)4.678×10^11

2)1.792×10^-8

3)1.642398×10^3

4)1.083×10^12 cubic kilometers

5)16×10^-25 kg

Answer 2

(I) 467800000000 = 4.678 × 10¹¹

(ii) 0.000001972 = 1.972 × 10⁻⁶

(iii) 1642.398 = 1.642398 × 10³

(iv)Earth's volume is about 1.083×10¹² cubic kilometers

(v)If you fill a bucket with dirt, the portion of the whole Earth that is in the bucket will be 1.6×10⁻²⁴

GIVEN:

TO FIND

Convert into scientific notation

SOLUTION:

Scientific notation is a method of writing large or very small numbers into decimal forms for convenience.

The general form of scientific notation is :

a × 10ᵇ

Where a = coefficient

Where a = coefficient 10 is the base

Where a = coefficient 10 is the base b = exponent

exponent can be positive or negative.

(i) 467800000000

The given number is in the multiples of 10 so the decimal will move to the right to eleventh place and the exponent will be positive.

so, the scientific notation will be = 4.678 × 10¹¹

(ii) 0.000001972

The given number is less than one so the decimal will move to the right to sixth place and the exponent will be negative.

So scientific notation will be = 1.972 × 10⁻⁶

(iii) 1642.398

The given number is in the multiples of 10 so the decimal will move to the right to the third place and the exponent will be positive.

so, the scientific notation = 1.642398 × 10³

(iv) 1,083,000,000,000

The given number is in the multiples of 10 so the decimal will move to the right to the eleventh place and the exponent will be positive.

so, the scientific notation = 1.083×10¹²

(V) 0.0000000000000000000000016 kg

The given number is less than one so the decimal will move to the right to twenty-fourth place and the exponent will be negative.

so, the scientific notation = 1.6×10⁻²⁴

Hence, the scientific notations of the given numbers will be -

(I) 467800000000 = 4.678 × 10¹¹ (ii) 0.000001972 = 1.972 × 10⁻⁶

(iii) 1642.398 = 1.642398 × 10³ (iv)Earth's volume is about 1.083×10¹² cubic kilometers

(v) If you fill a bucket with dirt, the portion of the whole Earth that is in the bucket will be 1.6×10⁻²⁴

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