2QUESTION: What does it mean for 10 to be raised to zero or to a negative power? STEP 1 Complete the tableCopy the table and complete the next two rows by evaluating 102 and 101.PowerStandard form103100010210110010–110–210–3
3STEP 2 Find a patternLook at the rows you have completed. How does the standard form change each time the exponent decreases by 1?
4STEP 3 Finish the tableUse the pattern you identified in Step 2 to complete the remaining rows in the table.
5DRAW CONCLUSIONS: Use your observations to complete these exercises 10410910–410–6Reasoning Let n be a positive integer. How many zeros are there in the standard form of 10n? in the standard form of 10–n?
6Reverse Practice Write the number as a power of 10 1,000,000 1,000,000,000.001.0001
7Negative Exponents to make fractions A negative power of 10 can mean a number like .01, or you can use it to make a fractionEXAMPLE: 10-2 means the decimal .01 and if we say the name it is one hundredth. So instead of making the decimal .01 we can make it100Try making 10-3 into a fraction WITHOUT turning it to a decimal first.
8Extra Practice Write the negative power of 10 as a fraction 10-4 10-5 10-1Order from least to greatest14. 10, , 102, .001, 102, 1, 10-3, 110