Please help with the following questions:
1. write 12 million in scientific notation
2. Write 17,600 in scientific notation
3. write 1.2 * 10 to the fourth power in standard form
4. write 5 * 10 to the sixth power in standard form
1. 12 million in scientific notation is 1.2 x 10^7. Just like a million clowns piling into a tiny car, it's a whole lot of fun squeezed into a small package!
2. 17,600 in scientific notation is 1.76 x 10^4. It's like a clown with a stack of 17,600 pies on his head - quite a balancing act!
3. 1.2 x 10^4 in standard form is 12,000. It's like having enough pies for a thousand clown parties. That's a lot of cream pie fun!
4. 5 x 10^6 in standard form is 5,000,000. It's like five million clowns coming out of a tiny clown car all at once. That's more clowns than you can shake a rubber chicken at!
Sure! I can help you with those questions. Here are the step-by-step solutions:
1. Writing 12 million in scientific notation:
- In scientific notation, we express a number as a product of a coefficient and a power of 10.
- To write a number in scientific notation, we move the decimal point until there is one non-zero digit to the left of the decimal point.
- In 12 million, we have one non-zero digit, which is 1, to the left of the decimal point.
- By moving the decimal point 6 places to the left, we get 1.2.
- The number 12 million can be written in scientific notation as 1.2 x 10^7.
2. Writing 17,600 in scientific notation:
- We need to move the decimal point until there is one non-zero digit to the left of the decimal point.
- In 17,600, we have two non-zero digits, which are 1 and 7, to the left of the decimal point.
- By moving the decimal point 4 places to the left, we get 1.76.
- The number 17,600 can be written in scientific notation as 1.76 x 10^4.
3. Writing 1.2 * 10^4 in standard form:
- In standard form, we write the number without using exponents.
- To write a number from scientific notation to standard form, we multiply the coefficient by 10 raised to the power.
- In 1.2 x 10^4, the coefficient is 1.2 and the power is 4.
- To convert it to standard form, we multiply 1.2 by 10^4.
- By multiplying, we get 12,000.
- The number 1.2 * 10^4 can be written in standard form as 12,000.
4. Writing 5 * 10^6 in standard form:
- Similarly, we multiply the coefficient by 10 raised to the power to convert from scientific notation to standard form.
- In 5 * 10^6, the coefficient is 5 and the power is 6.
- To convert it to standard form, we multiply 5 by 10^6.
- By multiplying, we get 5,000,000.
- The number 5 * 10^6 can be written in standard form as 5,000,000.
I hope this helps! Let me know if you have any further questions.
Sure! I'd be happy to help you with these questions. Let's go through each one step by step.
1. To write 12 million in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10. In this case, 12 million can be written as 1.2 multiplied by 10 to the power of 7, since there are 7 zeros in a million.
2. To write 17,600 in scientific notation, we need to move the decimal point until we have a number between 1 and 10. Notice that 17,600 can be written as 1.76 multiplied by 10 to the power of 4, since we moved the decimal point four places to the left.
3. To write 1.2 multiplied by 10 to the fourth power in standard form, we simply need to multiply 1.2 by 10,000 (which is 10 raised to the power of 4). This gives us 12,000.
4. To write 5 multiplied by 10 to the sixth power in standard form, we need to multiply 5 by 1,000,000 (which is 10 raised to the power of 6). This gives us 5,000,000.
I hope this helps! Let me know if you have any further questions.