Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. $\newline$ $(3 \times 10^4)(2 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $5 \times 10^1$ $\newline$ (B) $6 \times 10^7$ $\newline$ (C) $5 \times 10^7$ $\newline$ (D) $6 \times 10^1$

View step-by-step help

View step-by-step help

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(3 \times 10^4)(2 \times 10^3)

\newline

Choices:

\newline

(A)

5 \times 10^1

\newline

(B)

6 \times 10^7

\newline

(C)

5 \times 10^7

\newline

(D)

6 \times 10^1

Identify Coefficients and Power Terms: We have: $\newline$ $(3 \times 10^4)(2 \times 10^3)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $2$ $\newline$ Power terms: $10^4$ and $10^3$
Multiply Coefficients: What is $3 \times 2$ ? Multiply the coefficients. $\newline$ $3 \times 2 = 6$
Combine Power Terms: Write $10^4 \times 10^3$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^4 \times 10^3$ $\newline$ $= 10^{4 + 3}$ $\newline$ $= 10^7$
Write Final Answer in Scientific Notation: We found: $\newline$ Coefficient = $6$ $\newline$ Power term = $10^7$ $\newline$ Write the final answer in scientific notation. Substitute $6$ for $a$ and $7$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $6 \times 10^7$

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 1 month ago

Question

Multiply and simplify the following complex numbers:

\newline

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

Posted 3 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 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

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

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

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

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

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

Posted 3 months ago