Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. $\newline$ $(2 \times 10^2)(4 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $3 \times 10^4$ $\newline$ (B) $5 \times 10^4$ $\newline$ (C) $9 \times 10^4$ $\newline$ (D) $8 \times 10^4$

View step-by-step help

View step-by-step help

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

3 \times 10^4

\newline

(B)

5 \times 10^4

\newline

(C)

9 \times 10^4

\newline

(D)

8 \times 10^4

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

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