When multiplying two numbers in scientific notation, what operations do you use on the coefficients and the exponents of the powers of 10? (1 point)
Multiply the coefficients and add the exponents of the powers of 10.
• Add the coefficients and multiply the exponents of the powers of 10.
• Multiply the coefficients and multiply the exponents of the powers of 10.
• Add the coefficients and add the exponents of the powers of 10.
Multiply the coefficients and add the exponents of the powers of 10.
When multiplying two numbers in scientific notation, you need to multiply the coefficients and add the exponents of the powers of 10.
When multiplying two numbers in scientific notation, you need to multiply the coefficients and add the exponents of the powers of 10.
To explain further, let's say you have two numbers in scientific notation:
Number 1: a x 10^m
Number 2: b x 10^n
To multiply these two numbers, you multiply the coefficients (a x b) and add the exponents of the powers of 10 (m + n).
So, the correct operation to use when multiplying two numbers in scientific notation is to multiply the coefficients and add the exponents of the powers of 10.
A tape dispenser holds 1.14 x 104 mm of tape that is 12.7 mm wide. Multiply the two numbers to find the total area in square millimeters of tape. Write the product in scientific notation. (1 point)
• 1.4478 × 105 mm?
O 14.478 × 104 mm?
• 14.478 × 105 mm?
• 1.4478 × 104 mm?
To find the total area in square millimeters of tape, you need to multiply the two given numbers:
1.14 x 10^4 mm (length) x 12.7 mm (width).
When multiplying these numbers, you multiply the coefficients (1.14 x 12.7) and add the exponents of the powers of 10 (4 + 0):
1.14 x 12.7 = 14.478
10^4 x 10^0 = 10^4
So, the total area in square millimeters of tape is 14.478 x 10^4 mm.
In scientific notation, this can be written as 1.4478 x 10^5 mm.
Therefore, the correct answer is: • 1.4478 × 105 mm.
A sugar cube has a volume of about 4.9 ml. What is the total volume in milliliters of 1.5 × 10° sugar cubes? (1 point)
O 7.35 × 107 mi
O 0.735 × 107 mI
• 7.35 × 105 ml
• 7.35 × 10% ml
To find the total volume in milliliters of 1.5 × 10^0 sugar cubes, you need to multiply the given volume (4.9 ml) by the coefficient (1.5) and the exponent of the power of 10 (0):
1.5 x 10^0 = 1.5
So, the total volume in milliliters of 1.5 × 10^0 sugar cubes is 1.5 ml.
Therefore, none of the provided answer choices are correct, as the actual answer is 1.5 ml.
A sugar cube has a volume of about 4.9 ml. What is the total volume in milliliters of 1.5 × 10^6sugar cubes? (1 point)
O 7.35 × 107 mi
O 0.735 × 107 mI
• 7.35 × 105 ml
• 7.35 × 10% ml
To find the total volume in milliliters of 1.5 × 10^6 sugar cubes, you need to multiply the given volume (4.9 ml) by the coefficient (1.5) and the exponent of the power of 10 (6):
1.5 x 10^6 = 1.5 * 1,000,000 = 1,500,000
So, the total volume in milliliters of 1.5 × 10^6 sugar cubes is 1,500,000 ml.
Therefore, the correct answer is: O 7.35 × 10^5 ml.