Write each in symbols, then give the value and place value of the underlined digit 1. Five and three hundred ten thousandths 2 Twenty-five and two hundred ten thousands 3. Fifteen hundredths 4. One hundred one and one tenths 5. Five hundred and three ten thousandths Ten and ten hundredths 7. Ninety-nine ten thousandths 8. One and fifteen ten thousandths 9. Fifty-nine and four hundred ninety-eight ten thousandths 10 Eight ten thousandths Symbol Value Place Value
The Correct Answer and Explanation is :
Here is the detailed solution for each number:
1. Five and three hundred ten thousandths
Symbol: ( 5.310 )
Value of the underlined digit ( 1 ): ( 0.01 )
Place value of ( 1 ): Hundredths
2. Twenty-five and two hundred ten thousandths
Symbol: ( 25.0210 )
Value of the underlined digit ( 1 ): ( 0.001 )
Place value of ( 1 ): Thousandths
3. Fifteen hundredths
Symbol: ( 0.15 )
Value of the underlined digit ( 1 ): ( 0.1 )
Place value of ( 1 ): Tenths
4. One hundred one and one tenth
Symbol: ( 101.1 )
Value of the underlined digit ( 1 ): ( 0.1 )
Place value of ( 1 ): Tenths
5. Five hundred and three ten thousandths
Symbol: ( 500.0003 )
Value of the underlined digit ( 3 ): ( 0.0003 )
Place value of ( 3 ): Ten-thousandths
6. Ten and ten hundredths
Symbol: ( 10.10 )
Value of the underlined digit ( 1 ): ( 0.1 )
Place value of ( 1 ): Tenths
7. Ninety-nine ten thousandths
Symbol: ( 0.0099 )
Value of the underlined digit ( 9 ): ( 0.0009 )
Place value of ( 9 ): Ten-thousandths
8. One and fifteen ten thousandths
Symbol: ( 1.0015 )
Value of the underlined digit ( 1 ): ( 0.001 )
Place value of ( 1 ): Thousandths
9. Fifty-nine and four hundred ninety-eight ten thousandths
Symbol: ( 59.0498 )
Value of the underlined digit ( 4 ): ( 0.004 )
Place value of ( 4 ): Thousandths
10. Eight ten thousandths
Symbol: ( 0.0008 )
Value of the underlined digit ( 8 ): ( 0.0008 )
Place value of ( 8 ): Ten-thousandths
Explanation (300 words):
The task involves writing numbers in symbolic form, identifying the value and place value of specific digits. Symbolic form translates words into numbers using decimal notation. Each digit has a value determined by its place in the number. For example, in ( 0.15 ), the ( 1 ) represents ( 0.1 ), as it is in the tenths place.
The place value refers to the digit’s position relative to the decimal point:
- Tenths: 1st digit after the decimal.
- Hundredths: 2nd digit after the decimal.
- Thousandths: 3rd digit after the decimal.
- Ten-thousandths: 4th digit after the decimal.
Understanding this system allows for precise interpretation of numbers, essential in mathematics and real-world applications like finance and science.