Chapter 5: Q. 510 (page 564)

(a) Convert 112,000 to scientific notation.
(b) Convert $5.25 \times 10^{- 4}$ to decimal form.

Short Answer

Expert verified

The resultant values are-

(a) $1.12 \times 10^{5}$ $1.2 \times 10^{5}$

(b) $0.000525$

Step by step solution

Part (a) Step 1. Given Information

The given number is 112,000.

Part (a) Step 2. Use Scientific Notation Rule

To write 112,000 in scientific notation, place the decimal after first digit of the number and then multiply with the required exponent of 10.

$112, 000 = 1.12 \times 10^{5}$

So, the scientific form of the number is $1.12 \times 10^{5}$ .

Part (b) Step 1. Given Information

The given number in scientific form is $5.25 \times 10^{- 4}$ .

Part (b) Step 2. Use Scientific Notation Rule:

To write the number in decimal form, remove the exponent of 10 from the expression.

$\begin{array}{rcl} 5.25 \times 10^{- 4} & = & 5.25 \times \frac{1}{10000} \\ = & 0.000525 \end{array}$

So, the decimal form of the number is $0.000525$ .

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(a) Convert 112,000 to scientific notation.
(b) Convert $5.25 \times 10^{- 4}$ to decimal form.

Short Answer

Step by step solution

Part (a) Step 1. Given Information

Part (a) Step 2. Use Scientific Notation Rule

Part (b) Step 1. Given Information

Part (b) Step 2. Use Scientific Notation Rule:

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(a) Convert 112,000 to scientific notation.(b) Convert 5.25×10-4to decimal form.

Short Answer

Step by step solution

Part (a) Step 1. Given Information

Part (a) Step 2. Use Scientific Notation Rule

Part (b) Step 1. Given Information

Part (b) Step 2. Use Scientific Notation Rule:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

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Probability and Statistics

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

(a) Convert 112,000 to scientific notation.
(b) Convert $5.25 \times 10^{- 4}$ to decimal form.