Scientific Notation and Evaluating Expressions Review

​Scientific Notation and Evaluating Expressions Review

​Mr. Barrella - 7th Grade Accelerated Math

Fill in the Blanks

If I wanted to represent the number 50,600,000 in scientific notation, how would I write it.

Fill in the Blanks

The average size of a gnat is 0.0625 inches. How would I express this in scientific notation?

Multiple Choice

The population of City A is 6x10⁸. How many times larger is City A than City B if City B has a population of 1.5x10⁶?

• 40

• 45

• 400

• 450

Fill in the Blanks

The diameter of a white blood cell can be written as 1.5x10^-5 meters. Write this number is standard notation.

Multiple Choice

In scientific notation, when you move the decimal to the right, the power of 10 decreases by 1.

• True

• Falso

Multiple Choice

What is the sum of 9.73x10⁸ and 4.28x10⁷ in scientific notation?

• 1.0158x10⁸

• 1.0158x10⁹

• 1.401x10⁹

• 1.401x10¹⁶

Multiple Choice

An expression is shown

(1.621x10^-8) - (8.37x10^-10)

Which value is equivalent to the given expression?

• 6.749x10^-10

• 7.84x10^-9

• 1.5373x10^-9

• 1.5373x10^-8

Multiple Choice

There are about 2.0x10¹¹ stars in the galaxy. There are about 8.0x10¹⁰ galaxies in the universe. How many visible stars are there in the universe?

• 1x10²¹

• 1.6x10²¹

• 1.6x10²²

• 1x10²²

Multiple Select

Which of the following expressions would be equivalent to the expression below

$$\frac{\left(2.4\times10^8\right)}{\left(9.6\times10^5\right)}$$

• 250

• 2500000000000

• 2.5x10¹²

• 2.5x10²

• 0.25x10^-3

Evaluating Expressions with Radicals

Multiple Choice

Find the value of the expression below

$$\left(\frac{1}{5}\right)^2\cdot\left(\sqrt[]{36}+4\right)$$

• $$1$$

• $$\frac{2}{5}$$

• $$\frac{8}{25}$$

• $$2$$

Multiple Select

Select all the expressions that are equivalent to the expression below

$$\left(7^2+\sqrt[]{25}\right)-3.75$$

• $$15.25$$

• $$50.25$$

• $$\left(14+5\right)-3.75$$

• $$\left(49+5\right)-3.75$$

• $$\left(49-\sqrt[]{25}\right)-3.75$$

Multiple Choice

Lily wants to buy a mirror to hang in her bedroom. The mirror measures 54 inches (in.) across the diagnol and has a width of 43.8 in. Lily uses the expression shown to find the height of the space she needs to hang the mirror so there is at least 7 inches above and below the mirror.

$$\sqrt[]{54^2-43.8^2}+2\left(7\right)$$

What is the height of the space Lily needs. Round your answer to the nearest hundredth.

• 18.52 inches

• 24.20 inches

• 45.58 inches

• 235.06 inches