MATHEMATICS MIDDLE SCHOOL

The area of Asia is about 44,600,000 square kilometers. The area of Europe is about 9.94 x 10^6 square kilometers. What is the combined area of Asia and Europe?a. 1.44 x 10^6 square kilometers

b. 5.454 x 10^6 square kilometers

c. 1.44 x 10^7 square kilometers

d. 5.454 x 10^7 square kilometers

Answers

Answer 1

Answer:

Answer:

d. 5.454 x 10^7 square kilometers

Step-by-step explanation:

Adding 4.46×10^7 to 0.994×10^7 we get 5.454×10^7.

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Before you can add numbers in scientific notation, they must both have the same multiplier. Here, we can see that the area of Asia will be written with an exponent of 7, so we choose to write both numbers that way.

44,600,000 = 4.4×10,000,000 = 4.4×10^7

9.94×10^6 = (0.994×10)×10^6 = 0.994×10^7

The sum is (4.400 +0.994)×10^7 = 5.454×10^7.

Answer 2

Answer:

Combined area is 5.454 × 10^7 km²

Step-by-step explanation:

Step 1: Find the combined area of Asia and Europe.

Area of Asia = 44,600,000 km²

Area of Europe = 9,943,106 km²

⇒ Combined Area = 44,600,000 + 9,943,106

= 54,543,106 km²

Step 2: Convert to one significant figure.

54,543,106 = 5.454 × 10^7 km² (Dividing and multiplying by 10^7)

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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In how many ways can 10001 be written as the sum of two primes?a.0
b.1
c.2
d.3
e.4

Answers

a. 0
If the sum of two numbers is odd, one number must be even and the other number must be off, because all primes except 2 are off, 2 must be one of the summands, because 10,001 = 2+9999, and 9 x 1111 is not prime, so there are no solutions.

Final answer:

10001, being an odd number, cannot be expressed as the sum of two prime numbers following the Goldbach's conjecture in mathematics. Hence, the answer is 0 ways.

Explanation:

The question asks in how many ways can 10001 be written as the sum of two primes. This question relates to the concept of Goldbach's conjecture in mathematics, which states that any even integer greater than 2 can be written as the sum of two primes. Since 10001 is an odd number and greater than 2, the conjecture doesn't apply, hence there isn't any way to represent 10001 as the sum of two prime numbers. So, the answer is option a. 0.