Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Add. Write your answer in scientific notation. $\newline$ $(2 \times 10^9) + (5.8 \times 10^9)$ $\newline$ Choices: $\newline$ (A) $1.16 \times 10^{10}$ $\newline$ (B) $1.16 \times 10^9$ $\newline$ (C) $7.8 \times 10^{10}$ $\newline$ (D) $7.8 \times 10^9$

View step-by-step help

View step-by-step help

Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(2 \times 10^9) + (5.8 \times 10^9)

\newline

Choices:

\newline

(A)

1.16 \times 10^{10}

\newline

(B)

1.16 \times 10^9

\newline

(C)

7.8 \times 10^{10}

\newline

(D)

7.8 \times 10^9

Identify Coefficients and Power: Identify the coefficients and the common power of $10$ . We have two numbers in scientific notation: $(2 \times 10^9)$ and $(5.8 \times 10^9)$ . Both numbers have the same power of $10$ , which is $10^9$ . This means we can directly add the coefficients (the numbers in front of the power of $10$ ).
Add Coefficients: Add the coefficients. $\newline$ Now we add the coefficients $2$ and $5.8$ together. $\newline$ $2 + 5.8 = 7.8$
Write in Scientific Notation: Write the sum in scientific notation. $\newline$ Since the power of $10$ is the same for both numbers, we keep it unchanged. The sum in scientific notation is $7.8 \times 10^9$ .
Match with Choices: Match the result with the given choices. $\newline$ The result $7.8 \times 10^9$ matches with choice (D).

More problems from Add and subtract numbers written in scientific notation

Question

16 a+72

to identify the equivalent expressions.

\newline

2

\newline

4(4 a+18)

\newline

8(2 a+9)

\newline

2(8+36 a)

\newline

2(8 a+72)

Posted 4 months ago

Question

30-6 v-18 w

to identify the equivalent expressions.

\newline

2

\newline

2(15-12 v)

\newline

3(10-3 v+6 w)

\newline

6(5-v-3 w)

\newline

2(15-3 v-9 w)

Posted 4 months ago

Question

24 m-12 p+72

to identify the equivalent expressions.

\newline

2

\newline

6(4 m+2 p+12)

\newline

2(12 m-6 p+36)

\newline

12(2 m-p+6)

\newline

24(m-12 p+3)

Posted 4 months ago

Question

48-8 x

to identify the equivalent expressions.

\newline

2

\newline

3(16-8 x)

\newline

2(24-4 x)

\newline

8(6-x)

\newline

4(12-4 x)

Posted 1 month ago

Question

Multiply and simplify the following complex numbers:

\newline

(-3-2 i) \cdot(-4+2 i)

Posted 4 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(1-2 i) \cdot(4+i)

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-1+4 i) \cdot(4-3 i)

Posted 4 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-4-4 i) \cdot(-5-3 i)

Posted 4 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(1+5 i) \cdot(-3-i)

Posted 4 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-2+2 i) \cdot(5+5 i)

Posted 4 months ago