1) Solve a) Compose: 900 + 60 + 9 + 0.5 + 0.01 b) The value of the digit 3 in 45.023 is c) Write in the word form: 10.907
Understand the Problem
The question consists of three parts that focus on basic mathematical operations and representations. It asks for the composition of numbers, the value of a specific digit in a decimal number, and the verbal expression of a decimal number in words.
Answer
a) $969.51$, b) $0.003$, c) "ten and nine hundred seven thousandths"
Answer for screen readers
a) $969.51$
b) $0.003$
c) "ten and nine hundred seven thousandths"
Steps to Solve
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Compose the Numbers To compose the numbers, add them together.
$$ 900 + 60 + 9 + 0.5 + 0.01 $$
First, add the whole numbers:
$$ 900 + 60 + 9 = 969 $$
Then, add the decimal numbers:
$$ 0.5 + 0.01 = 0.51 $$
Now combine both results:
$$ 969 + 0.51 = 969.51 $$
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Determine the Value of the Digit The digit 3 in the number 45.023 is in the thousandths place.
The value can be determined based on the place value:
$$ 3 \times \frac{1}{1000} = 0.003 $$
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Write in Word Form To write the number 10.907 in word form, separate it into whole and decimal parts:
- Whole part: 10
- Decimal part: 907
Therefore, it can be written as "ten and nine hundred seven thousandths".
a) $969.51$
b) $0.003$
c) "ten and nine hundred seven thousandths"
More Information
For part a, the addition involves both whole and decimal numbers. In part b, understanding place values helps identify the worth of a digit. In part c, converting numbers to words is a useful skill for clear communication in mathematics.
Tips
- Misplacing decimal points while adding decimal numbers. To avoid this, align the decimal points properly.
- Confusing the place values of digits in decimal numbers. Revisit place value charts if necessary.
- Incorrectly expressing numbers in words, particularly with decimal fractions. It helps to break down the number into whole and decimal parts.
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