ANSWERS FOR THE MULTIPLY IN SCIENTIFIC NOTION QUICK CHECK:
1: 1.21x10^-3
2: multiply and add
3: 1.4478x10^5mm^2
4: 4.35x10^6
5: 2.1x10^-5
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1. To multiply numbers in scientific notation, multiply the coefficients and add the exponents. For example, when multiplying 3.4x10^2 and 3.5x10^-4, you multiply 3.4 by 3.5 to get 11.9 and add the exponents -2 and -4 to get -6. This gives you the final answer of 11.9x10^-6.
2. When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. This helps you calculate the answer.
3. For example, if you have 3.8x10^4 and you want to multiply it by 3.8x10^1, you multiply the coefficients 3.8 and 3.8 to get 14.44. Then, add the exponents 4 and 1 to get 5. This gives you the final answer of 14.44x10^5 or 1.444x10^6.
4. Multiplying 8x10^5 by 5.4x10^1 can be done by multiplying the coefficients 8 and 5.4 to get 43.2. Then, add the exponents 5 and 1 to get 6. This gives you the final answer of 43.2x10^6 or 4.32x10^7.
5. To multiply numbers with exponents, multiply the coefficients and add the exponents. For example, if you want to multiply 2.3x10^-3 by 9.1x10^-2, you multiply 2.3 by 9.1 to get 20.93 and add the exponents -3 and -2 to get -5. This gives you the final answer of 20.93x10^-5.
To find the answers for the multiply in scientific notion quick check, here are the step-by-step explanations:
1. The first answer is 1.21x10^-3. To calculate this, you multiply the coefficient, 1.21, by 10 raised to the power of -3. It becomes 1.21 times 10 to the power of -3, which is equivalent to 0.00121.
2. The second answer mentions "multiply and add." It is unclear what specific calculation or context this refers to, so it's difficult to provide a detailed explanation. However, generally, to multiply in scientific notation, you multiply the coefficients and add the exponents. For example, if you have (3x10^2) * (4x10^3), you multiply 3 and 4 to get 12 and add the exponents, resulting in 12x10^5.
3. The third answer is 1.4478x10^5mm^2. This is a multiplication calculation involving scientific notation. You multiply the coefficient, 1.4478, by 10 raised to the power of 5. It becomes 1.4478 times 10 to the power of 5, which is equivalent to 144,780.
4. The fourth answer is 4.35x10^6. To obtain this, you multiply the coefficient, 4.35, by 10 raised to the power of 6. It becomes 4.35 times 10 to the power of 6, which equals 4,350,000.
5. The last answer is 2.1x10^-5. To calculate this, you multiply the coefficient, 2.1, by 10 raised to the power of -5. It becomes 2.1 times 10 to the power of -5, which is equivalent to 0.000021.