What is 6.9 × 107 written in standard form?

Mathematics

2 answers:

Art [367]3 years ago

8 0

$6.9 \times 10^7 = \boxed{\bf{69,000,000}}$

mihalych1998 [28]3 years ago

3 0

6.9 x 10⁷ is a scientific notation.

6.9 x 10⁷ in standard form is 69,000,000

Scientific notation is used to represent very large numbers or very small numbers.

Scientific notation has three parts. Its parts are the coefficient, base of ten, and the exponents.

6.9 is the coefficient
10 is the base of 10
7 is the exponent

The must always be 1 digit before the decimal point in the scientific notation.
The exponent tells us the number of places the decimal point has moved. Its sign tells us the direction of the decimal point's movement.

Since the exponent is positive, it tells us that the decimal point moved from right to left.

69000000. to 6.9000000

If the exponent had a negative sign, it means that the decimal point moved from left to right.

example: 6.9 x 10⁻⁷
its standard form would have been .00000069

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The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find

mamaluj [8]

Answer:

$x = 10$ . In other words, there number of girls is $10$ .

Step-by-step explanation:

The average of a number of measurements is equal to the sum of these measurements over the number of measurements.

$\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}$ .

Rewrite to obtain:

$\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}$ .

For this question:

$\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}$ .

$\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}$ .

Therefore:

$\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}$ .

On the other hand, there are $(15 + x)$ boys and girls in total. Using the formula for average:

$\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}$ .