SaiBook.us Algebra

Home Course Section

Schedule Admission Social

Step-1

Title: Scientific notations

Grade: 6-b Lesson: S2-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Discussion: Step1 Step2 Step3 Step4 Step5

Step	Type	Explanation	Answer
1	Problem	Convert 6,200,000 into scientific notation.
2	Step	Given number	6,200,000
3	Step	Move to the decimal to the left in 6 places.So it is positioned to the right of the leftmost non-zero digits	6.2
4	Step	Remove all the zeroes and multiply the number by 10. Now the number has become 6.2.
5	Step	Since the number is greater than 10 and the decimal is moved to left, therefore, we use here a positive exponent	6200000 ⇒ \$6.2×10^6\$
6	Step	So, in scientific notation, 6,200,000 is written as \$6.2×10^6\$.
7	Choice.A	This answer is correct because the scientific notation of the given number is \$6.2×10^6\$	\$6.2×10^6\$
8	Choice.B	This answer is incorrect because the scientific notation of the given number is \$6.2×10^6\$, not \$6.1×10^6\$	\$6.1×10^6\$
9	Choice.C	This answer is incorrect because the scientific notation of the given number is \$6.2×10^6\$, not \$6.2×10^4\$	\$6.2×10^4\$
10	Choice.D	This answer is incorrect because the scientific notation of the given number is \$6.2×10^6\$, not \$6.1×10^5\$	\$6.1×10^5\$
11	Answer	Option	A
12	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Convert 6,200,000 into scientific notation.

Step

Given number

6,200,000

Step

Move to the decimal to the left in 6 places.So it is positioned to the right of the leftmost non-zero digits

6.2

Step

Remove all the zeroes and multiply the number by 10. Now the number has become 6.2.

Step

Since the number is greater than 10 and the decimal is moved to left, therefore, we use here a positive exponent

6200000

⇒ \$6.2×10^6\$

Step

So, in scientific notation, 6,200,000 is written as \$6.2×10^6\$.

Choice.A

This answer is correct because the scientific notation of the given number is \$6.2×10^6\$

\$6.2×10^6\$

Choice.B

This answer is incorrect because the scientific notation of the given number is \$6.2×10^6\$, not \$6.1×10^6\$

\$6.1×10^6\$

Choice.C

This answer is incorrect because the scientific notation of the given number is \$6.2×10^6\$, not \$6.2×10^4\$

\$6.2×10^4\$

Choice.D

This answer is incorrect because the scientific notation of the given number is \$6.2×10^6\$, not \$6.1×10^5\$

\$6.1×10^5\$

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?

Discussion: Step1 Step2 Step3 Step4 Step5