Write this number in standard form. 12 ten thousands, 8 thousands, 14 hundreds and 7 ones
The correct answer and explanation is:
Sure! Let’s break down the number first and then write it in standard form.
Step 1: Understand the place values given
- 12 ten thousands means 12 × 10,000
- 8 thousands means 8 × 1,000
- 14 hundreds means 14 × 100
- 7 ones means 7 × 1
Step 2: Calculate each part
- 12 × 10,000 = 120,000
- 8 × 1,000 = 8,000
- 14 × 100 = 1,400
- 7 × 1 = 7
Step 3: Add all parts together
120,000 + 8,000 + 1,400 + 7 = 129,407
Final answer:
129,407
Explanation (about 300 words)
When writing numbers in standard form, the goal is to express the total value as a single numeral without breaking it into expanded parts like tens, hundreds, thousands, etc.
In the problem, the number is described by place values, but in an unconventional way — it includes 12 ten thousands, 8 thousands, 14 hundreds, and 7 ones. To convert this description into a standard numeral, you multiply each place value by the number of those units and then add the results.
- Ten thousands place means each unit is worth 10,000. Since there are 12 of these, multiply 12 by 10,000 to get 120,000.
- Thousands place means each unit is worth 1,000. With 8 thousands, multiply 8 by 1,000 to get 8,000.
- Hundreds place means each unit is worth 100. With 14 hundreds, multiply 14 by 100 to get 1,400.
- Ones place means each unit is worth 1. With 7 ones, multiply 7 by 1 to get 7.
Now, add all these amounts:
120,000 + 8,000 + 1,400 + 7 = 129,407
This number, 129,407, is the standard form of the given number.
Notice that sometimes, place values can be “more than 9” (like 12 ten thousands or 14 hundreds), which is unusual in typical place value notation because normally digits are 0–9 per place. But here, the problem expresses quantities of those place values, which we can think of as expanded parts of a number. After calculation, these parts combine into a regular number with digits between 0 and 9.
In summary, to write numbers in standard form from parts:
- Multiply the count of each place value by its base value.
- Add all results.
- Write the sum as a single number.
This method is useful for understanding place values and for converting expanded forms or word descriptions into standard numerical form.