Which number represents 4.6 × 10−4
in standard form?(1 point)
Responses
460,000
460 comma 000
46,000
46 comma 000
0.00046
0 point 0 0 0 4 6
0.000046 I NEED THE WORK BOT!
To convert 4.6 × 10^-4 into standard form, we move the decimal point four places to the left since the exponent is negative.
Therefore, the number in standard form is 0.000046.
To convert 4.6 × 10^-4 to standard form, follow these steps:
Step 1: Write the number without scientific notation: 4.6
Step 2: Move the decimal point to the right or left based on the exponent. In this case, the exponent is -4, so we need to move the decimal point four places to the left.
- 4.6 becomes 0.00046
Therefore, the number 4.6 × 10^-4 in standard form is 0.00046.
To represent 4.6 × 10^-4 in standard form, you need to convert the number to a decimal without any exponents. Here's how you can do it:
1. Start with the given number: 4.6 × 10^-4
2. Move the decimal point to the left by four places, since the exponent is -4. This means you have to divide the number by 10 four times:
- Move the decimal point one place to the left: 4.6 ÷ 10 = 0.46
- Move the decimal point another place to the left: 0.46 ÷ 10 = 0.046
- Move the decimal point yet another place to the left: 0.046 ÷ 10 = 0.0046
- Move the decimal point one more place to the left: 0.0046 ÷ 10 = 0.00046
3. The resulting number, without the exponent, is 0.00046.
Therefore, 4.6 × 10^-4 in standard form is 0.00046.