Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in scientific notation. $\newline$ $(4 \times 10^1)(2 \times 10^1)$ $\newline$ ______

View step-by-step help

View step-by-step help

Multiply numbers written in scientific notation

Full solution

Q. Multiply. Write your answer in scientific notation.

\newline

(4 \times 10^1)(2 \times 10^1)

\newline

______

Group Coefficients and Powers: We have the expression $4 \times 10^1$ ( $2$ \times $10$ ^ $1$ ). First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $4$ and $2$ $\newline$ Power terms: $10^1$ and $10^1$
Multiply Coefficients: Multiply the coefficients together. What is $4 \times 2$ ? $\newline$ Calculation: $4 \times 2 = 8$
Combine Power Terms: Combine the power terms $10^1 \times 10^1$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ Calculation: $10^1 \times 10^1 = 10^{(1 + 1)} = 10^2$
Write in Scientific Notation: We have found the coefficient to be $8$ and the power term to be $10^2$ . Now, we write the final answer in scientific notation by substituting $8$ for the coefficient $a$ and $2$ for the exponent $b$ in the form $a \times 10^b$ . $\newline$ Scientific notation: $8 \times 10^2$

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