The image presents six problems. Problems 13, 14, and 15 require converting numbers to scientific notation. Problems 16, 17, and 18 require converting numbers from scientific notation to standard form.

ArithmeticScientific NotationDecimal NotationExponents
2025/4/7

1. Problem Description

The image presents six problems. Problems 13, 14, and 15 require converting numbers to scientific notation. Problems 16, 17, and 18 require converting numbers from scientific notation to standard form.

2. Solution Steps

Problem 13: Convert 3,281,442,156 to scientific notation.
- Move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. In this case, we move it 9 places.
- Write the number as 3.281442156
- Multiply by 10n10^n where n is the number of places you moved the decimal point. Since we moved it 9 places to the left, n =

9. - Scientific notation: $3.281442156 \times 10^9$

Problem 14: Convert 60224.395 to scientific notation.
- Move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. In this case, we move it 4 places.
- Write the number as 6.0224395
- Multiply by 10n10^n where n is the number of places you moved the decimal point. Since we moved it 4 places to the left, n =

4. - Scientific notation: $6.0224395 \times 10^4$

Problem 15: Convert 0.0074592 to scientific notation.
- Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. In this case, we move it 3 places.
- Write the number as 7.4592
- Multiply by 10n10^n where n is the negative of the number of places you moved the decimal point. Since we moved it 3 places to the right, n = -

3. - Scientific notation: $7.4592 \times 10^{-3}$

Problem 16: Convert 9.2×1039.2 \times 10^{-3} to standard form.
- Since the exponent is -3, move the decimal point 3 places to the left.
- 9.2×103=0.00929.2 \times 10^{-3} = 0.0092
Problem 17: Convert 8.03×1068.03 \times 10^6 to standard form.
- Since the exponent is 6, move the decimal point 6 places to the right.
- 8.03×106=80300008.03 \times 10^6 = 8030000
Problem 18: Convert 1.82×1041.82 \times 10^4 to standard form.
- Since the exponent is 4, move the decimal point 4 places to the right.
- 1.82×104=182001.82 \times 10^4 = 18200

3. Final Answer

Problem 13: 3.281442156×1093.281442156 \times 10^9
Problem 14: 6.0224395×1046.0224395 \times 10^4
Problem 15: 7.4592×1037.4592 \times 10^{-3}
Problem 16: 0.00920.0092
Problem 17: 80300008030000
Problem 18: 1820018200

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