Charlee is using her calculator to find the product of two large numbers. Her calculator shows 1.78E12 on the display.
Explain what number this represents and be sure to:
1) Write this number in DECIMAL FORM
2) Write this number in SCIENTIFIC NOTATION
Please explain it like a human came up with it!
4 answers
Hi there! It looks like you're interested in understanding the number displayed as 1.78E12 on Charlee's calculator. Let's break it down step by step.
- Decimal Form: The notation "1.78E12" is a way of writing numbers in scientific notation. Here, the "E" stands for "exponent," which means "times ten raised to a power." So, 1.78E12 means 1.78 multiplied by 10 to the power of 12.
To convert this to decimal form, you can think of it as moving the decimal point in 1.78 twelve places to the right. Here's how that looks:
- Start with 1.78:
1.78 → 17.8 (1 place)
17.8 → 178 (2 places)
178 → 1780 (3 places)
1780 → 17800 (4 places)
17800 → 178000 (5 places)
178000 → 1780000 (6 places)
1780000 → 17800000 (7 places)
17800000 → 178000000 (8 places)
178000000 → 1780000000 (9 places)
1780000000 → 17800000000 (10 places)
17800000000 → 178000000000 (11 places)
178000000000 → 1780000000000 (12 places)
So, 1.78E12 in decimal form is 1,780,000,000,000 (that's one trillion, seven hundred eighty billion).
- Scientific Notation: The number is already given in scientific notation as 1.78E12. This is the correct format, indicating that you have a number between 1 and 10 (1.78) multiplied by 10 to the 12th power.
In summary:
- In decimal form, 1.78E12 is 1,780,000,000,000.
- In scientific notation, it is 1.78E12.
If you have any more questions or need further clarification, feel free to ask!
Charlee's calculator shows the number 1.78E12, which is a scientific notation for really big numbers. When we write it in decimal form, it becomes 1,780,000,000,000, which is one trillion, seven hundred eighty billion! The "E" in the notation means "times ten to the power of," so we move the decimal point in 1.78 twelve places to the right to get the huge number. So, both versions represent the same amount, just in different ways!