scientific notation
Multiply two numbers, both in scientific notation 4 )(6× 10 × 6 × 10
To multiply 6 × 104 and 6: First, multiply the base of the number in scientfic notation, the 6, and the regular number, the 6 to get 36. The exponent of the 10 in the final answer will just be the 4. So, your answer is 36 × 104 Although this answer is perfectly O.K., most commonly the base, or the 36, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 36 by 10, 1 time(s), making it a 3.6. But in order to do so, we must add 1 to the exponent of the 10, making the 4 a(n) 5. So, the final answer is 3.6 × 105
To multiply 5 × 102 and 2 × 104: First, multiply the two bases together, that is, multiply 5 and 2 to get 10. Next, just add the two exponents together, that is, 2 plus 4 to get 6. So, your answer is 10 × 106 Although this answer is perfectly O.K., most commonly the base, or the 10, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 10 by 10, 1 time(s), making it a 1. But in order to do so, we must add 1 to the exponent of the 10, making the 6 a(n) 7.
So, the final answer is 1 × 107
To multiply 2 × 103 and 1 × 101: First, multiply the two bases together, that is, multiply 2 and 1 to get 2. Next, just add the two exponents together, that is, 3 plus 1 to get 4.
So, your answer is 2 × 104
Multiply two numbers, with only one of them in scientific notation 6)(4 × 10 ×2
To multiply 4 × 106 and 2: First, multiply the base of the number in scientfic notation, the 4, and the regular number, the 2 to get 8. The exponent of the 10 in the final answer will just be the 6. So, your answer is 8 × 106
Multiply two numbers, with only one of them in scientific notation 2)(3 × 10 ×4
...To multiply 3 × 102 and 4: First, multiply the base of the number in scientfic notation, the 3, and the regular number, the 4 to get 12. The exponent of the 10 in the final answer will just be the 2. So, your answer is 12 × 102 Although this answer is perfectly O.K., most commonly the base, or the 12, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 12 by 10, 1 time(s), making it a 1.2. But in order to do so, we must add 1 to the exponent of the 10, making the 2 a(n) 3. So, the final answer is 1.2 × 103
Multiply two numbers, with only one of them in scientific notation 4)(3 × 10 ×5
...To multiply 3 × 104 and 5: First, multiply the base of the number in scientfic notation, the 3, and the regular number, the 5 to get 15. The exponent of the 10 in the final answer will just be the 4. So, your answer is 15 × 104 Although this answer is perfectly O.K., most commonly the base, or the 15, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 15 by 10, 1 time(s), making it a 1.5. But in order to do so, we must add 1 to the exponent of the 10, making the 4 a(n) 5. So, the final answer is 1.5 × 105
Multiply two numbers, with only one of them in scientific notation 5)(4× 10 ×3
...To multiply 4 × 105 and 3: First, multiply the base of the number in scientfic notation, the 4, and the regular number, the 3 to get 12. The exponent of the 10 in the final answer will just be the 5. So, your answer is 12 × 105 Although this answer is perfectly O.K., most commonly the base, or the 12, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 12 by 10, 1 time(s), making it a 1.2. But in order to do so, we must add 1 to the exponent of the 10, making the 5 a(n) 6. So, the final answer is 1.2 × 106
Multiply two numbers, with only one of them in scientific notation 3)(5 × 10 × 5
...To multiply 5 × 103 and 5: First, multiply the base of the number in scientfic notation, the 5, and the regular number, the 5 to get 25. The exponent of the 10 in the final answer will just be the 3. So, your answer is 25 × 103 Although this answer is perfectly O.K., most commonly the base, or the 25, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 25 by 10, 1 time(s), making it a 2.5. But in order to do so, we must add 1 to the exponent of the 10, making the 3 a(n) 4. So, the final answer is 2.5 × 104
To multiply 3 × 107 and 10 × 105: First, multiply the two bases together, that is, multiply 3 and 10 to get 30. Next, just add the two exponents together, that is, 7 plus 5 to get 12. So, your answer is 30 × 1012 Although this answer is perfectly O.K., most commonly the base, or the 30, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 30 by 10, 1 time(s), making it a 3. But in order to do so, we must add 1 to the exponent of the 10, making the 12 a(n) 13.
So, the final answer is 3 × 1013
To multiply 2 × 101 and 2 × 104: First, multiply the two bases together, that is, multiply 2 and 2 to get 4. Next, just add the two exponents together, that is, 1 plus 4 to get 5.
So, your answer is 4 × 105
To multiply 2 × 104 and 4: First, multiply the base of the number in scientific notation, the 2, and the regular number, the 4 to get 8. The exponent of the 10 in the final answer will just be the 4.
So, your answer is 8 × 104
Multiply two numbers, both in scientific notation 6)(3) × 10 × 3 × 10
To multiply 3 × 100 and 3 × 106: First, multiply the two bases together, that is, multiply 3 and 3 to get 9. Next, just add the two exponents together, that is, 0 plus 6 to get 6. So, your answer is 9 × 106
Multiply two numbers, with only one of them in scientific notation (3)(3) × 10 × (3)
To multiply 3 × 103 and 3: First, multiply the base of the number in scientfic notation, the 3, and the regular number, the 3 to get 9.To multiply 3 × 103 and 3: First, multiply the base of the number in scientfic notation, the 3, and the regular number, the 3 to get 9. The exponent of the 10 in the final answer will just be the 3. So, your answer is 9 × 103 The exponent of the 10 in the final answer will just be the 3. So, your answer is 9 × 103
Multiply two numbers, with only one of them in scientific notation 3)(3 × 10 × 5
To multiply 3 × 103 and 5: First, multiply the base of the number in scientfic notation, the 3, and the regular number, the 5 to get 15. The exponent of the 10 in the final answer will just be the 3. So, your answer is 15 × 103 Although this answer is perfectly O.K., most commonly the base, or the 15, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 15 by 10, 1 time(s), making it a 1.5. But in order to do so, we must add 1 to the exponent of the 10, making the 3 a(n) 4. So, the final answer is 1.5 × 104
Multiply two numbers, both in scientific notation 6)(5)(3 × 10 × 3 × 10
To multiply 3 × 106 and 3 × 105: First, multiply the two bases together, that is, multiply 3 and 3 to get 9. Next, just add the two exponents together, that is, 6 plus 5 to get 11. So, your answer is 9 × 1011
Multiply two numbers, with only one of them in scientific notation 6)(3 × 10 × 3
To multiply 3 × 106 and 3: First, multiply the base of the number in scientfic notation, the 3, and the regular number, the 3 to get 9. The exponent of the 10 in the final answer will just be the 6. So, your answer is 9 × 106
Multiply two numbers, with only one of them in scientific notation(8)(3)× 10 × (2)
To multiply 3 × 108 and 2: First, multiply the base of the number in scientific notation, the 3, and the regular number, the 2 to get 6. The exponent of the 10 in the final answer will just be the 8. So, your answer is 6 × 108
Multiply two numbers, both in scientific notation (2)(4)× 10 ×(5 )× 10
To multiply 4 × 100 and 5 × 102: First, multiply the two bases together, that is, multiply 4 and 5 to get 20. Next, just add the two exponents together, that is, 0 plus 2 to get 2. So, your answer is 20 × 102 Although this answer is perfectly O.K., most commonly the base, or the 20, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 20 by 10, 1 time(s), making it a 2. But in order to do so, we must add 1 to the exponent of the 10, making the 2 a(n) 3. So, the final answer is 2 × 103
Multiply two numbers, with only one of them in scientific notation 5)(5 × 10 × 9
To multiply 5 × 105 and 9: First, multiply the base of the number in scientfic notation, the 5, and the regular number, the 9 to get 45. The exponent of the 10 in the final answer will just be the 5. So, your answer is 45 × 105 Although this answer is perfectly O.K., most commonly the base, or the 45, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 45 by 10, 1 time(s), making it a 4.5. But in order to do so, we must add 1 to the exponent of the 10, making the 5 a(n) 6. So, the final answer is 4.5 × 106
Multiply two numbers, with only one of them in scientific notation 5)(6 × 10 × (3)
To multiply 6 × 105 and 3: First, multiply the base of the number in scientfic notation, the 6, and the regular number, the 3 to get 18. The exponent of the 10 in the final answer will just be the 5. So, your answer is 18 × 105 Although this answer is perfectly O.K., most commonly the base, or the 18, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 18 by 10, 1 time(s), making it a 1.8. But in order to do so, we must add 1 to the exponent of the 10, making the 5 a(n) 6. So, the final answer is 1.8 × 106
Multiply two numbers, with only one of them in scientific notation 9 × 10 × 69
To multiply 9 × 10 0 and 6: First, multiply the base of the number in scientfic notation, the 9, and the regular number, the 6 to get 54. The exponent of the 10 in the final answer will just be the 0. So, your answer is 54 × 100 Although this answer is perfectly O.K., most commonly the base, or the 54, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 54 by 10, 1 time(s), making it a 5.4. But in order to do so, we must add 1 to the exponent of the 10, making the 0 a(n) 1.
Multiply two numbers, with only one of them in scientific notation (5)(4 )× 10 ×(1)
o multiply 4 × 105 and 1.: First, multiply the base of the number in scientific notation, the 4, and the regular number, the 1. to get 4. The exponent of the 10 in the final answer will just be the 5. So, your answer is 4 × 105,
Multiply two numbers, with only one of them in scientific notation(5)(6) × 10 × (6)
o multiply 6 × 105 and 6: First, multiply the base of the number in scientfic notation, the 6, and the regular number, the 6 to get 36. The exponent of the 10 in the final answer will just be the 5. So, your answer is 36 × 105 Although this answer is perfectly O.K., most commonly the base, or the 36, is written as a number with just one digit to the left of the decimal. To format our answer in this way, we'll divide the 36 by 10, 1 time(s), making it a 3.6. But in order to do so, we must add 1 to the exponent of the 10, making the 5 a(n) 6. So, the final answer is 3.6 × 106
Multiply two numbers, both in scientific notation 4)(2)3 × 10 × × 10
To multiply 2 × 104 and 0 × 103: First, multiply the two bases together, that is, multiply 2 and 0 to get 0. Next, just add the two exponents together, that is, 4 plus 3 to get 7. So, your answer is 0 (zero).
Multiply two numbers, with only one of them in scientific notation (4)(2) × 10 × (2)
To multiply 2 × 104 and 2: First, multiply the base of the number in scientfic notation, the 2, and the regular number, the 2 to get 4. The exponent of the 10 in the final answer will just be the 4. So, your answer is 4 × 104
Multiply two numbers, with only one of them in scientific notation (4)(2)× 10 ×(2)
To multiply 2 × 104 and 2: First, multiply the base of the number in scientfic notation, the 2, and the regular number, the 2 to get 4. The exponent of the 10 in the final answer will just be the 4. So, your answer is 4 × 104
Multiply two numbers, with only one of them in scientific notation 4)(2 × 10 × (2)
To multiply 2 × 104 and 2: First, multiply the base of the number in scientfic notation, the 2, and the regular number, the 2 to get 4. The exponent of the 10 in the final answer will just be the 4. So, your answer is 4 × 104
Multiply two numbers, with only one of them in scientific notation (5)(2) × 10 ×(2)
To multiply 2 × 105 and 2: First, multiply the base of the number in scientific notation, the 2, and the regular number, the 2 to get 4. The exponent of the 10 in the final answer will just be the 5. So, your answer is 4 × 105
Multiply two numbers, with only one of them in scientific notation 5)(2 × 10 × 4
To multiply 2 × 105 and 4: First, multiply the base of the number in scientfic notation, the 2, and the regular number, the 4 to get 8. The exponent of the 10 in the final answer will just be the 5. So, your answer is 8 × 105
Multiply two numbers, with only one of them in scientific notation (8)(2) × 10 ×(1)
To multiply 2 × 108 and 1: First, multiply the base of the number in scientfic notation, the 2, and the regular number, the 1 to get 2. The exponent of the 10 in the final answer will just be the 8. So, your answer is 2 × 108
