write in decimal form (standard notation)
1) 8x10^4
= 80000.
2) 9.82x10^5
= 98,200,000.
3) 9x10^-3
= 0.0009
4) 7.24x10^-6
= 0.00000724
8.34 times 10^4 in standard notation
1. Correct.
2. 9.82*10^5 = 982000.
3. 9*10^-3 = 0.009
4. Correct.
5x10^-7)-3x10^-9
1.8 x 10 -6 power mm
To write a number in decimal form (standard notation) when it is presented in scientific notation with an exponent, you need to follow a few steps:
1) Identify the number before the multiplication sign. This is the base number.
2) Determine the power of 10, represented by the exponent. If the exponent is positive, move the decimal point to the right by the number of places indicated by the exponent. If the exponent is negative, move the decimal point to the left by the number of places indicated by the absolute value of the exponent.
3) If necessary, add leading zeros if the decimal point has moved to the left.
4) Remove the multiplication sign and the exponent and write the resulting number.
Let's apply these steps to the given examples:
1) 8x10^4
- The base number is 8.
- The exponent is 4, which is positive. So we move the decimal point to the right by 4 places.
- 8.0000 (moved to the right by 4 places)
- Remove the multiplication sign and the exponent: 80000.
2) 9.82x10^5
- The base number is 9.82.
- The exponent is 5, which is positive. So we move the decimal point to the right by 5 places.
- 9.82000 (moved to the right by 5 places)
- Remove the multiplication sign and the exponent: 982000.
3) 9x10^-3
- The base number is 9.
- The exponent is -3, which is negative. So we move the decimal point to the left by 3 places.
- 0.009 (moved to the left by 3 places)
- Remove the multiplication sign and the exponent: 0.009.
4) 7.24x10^-6
- The base number is 7.24.
- The exponent is -6, which is negative. So we move the decimal point to the left by 6 places.
- 0.00000724 (moved to the left by 6 places)
- Remove the multiplication sign and the exponent: 0.00000724.
Therefore, the answers in decimal form are:
1) 8x10^4 = 80000
2) 9.82x10^5 = 982000
3) 9x10^-3 = 0.009
4) 7.24x10^-6 = 0.00000724