Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. $\newline$ $(3 \times 10^5)(3 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $9 \times 10^7$ $\newline$ (B) $5 \times 10^8$ $\newline$ (C) $9 \times 10^8$ $\newline$ (D) $5 \times 10^7$

View step-by-step help

View step-by-step help

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(3 \times 10^5)(3 \times 10^2)

\newline

Choices:

\newline

(A)

9 \times 10^7

\newline

(B)

5 \times 10^8

\newline

(C)

9 \times 10^8

\newline

(D)

5 \times 10^7

Group Coefficients and Powers: We have the expression $3 \times 10^5$ ( $3$ \times $10$ ^ $2$ \). First, we group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $3$ $\newline$ Power terms: $10^5$ and $10^2$
Multiply Coefficients: Multiply the coefficients together. $\newline$ $3 \times 3 = 9$
Combine Power Terms: Combine the power terms by adding the exponents, since the base is the same $10$ . $10^5 \times 10^2 = 10^{(5 + 2)} = 10^7$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $9$ $\newline$ Power term = $10^7$ $\newline$ Scientific notation: $9 \times 10^7$

More problems from Multiply 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 2 months 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