Question

name yadvianna

1. \\( \begin{array} { r } { 857 } \\ { - 432 } \\ { hline } end{array} \\)
2. circle the digit in the hundredths place: 0.54
3. write the missing family fact.

\\( 5 + 6 = 11 \\)
\\( 11 - 5 = 6 \\)
\\( 11 - 6 = 5 \\)
____________________

1. \\( 90 \times 5 = \\)
2. what temperature is shown on the thermometer? ________
3. when you multiply any number by 0, the product is 0. circle: true or false
4. use <, >, or =. 8,015,943 ________ 8,019,435
5. \\( 26 \div 4 = \\)
6. \\( 10 + a = 25 ; a = \\)
7. is the dashed line a line of symmetry? circle: yes or no

Explanation:

Step1: Subtract the numbers

$$\begin{align*} 857-432&=(800 + 57)-(400+32)\\ &=(800-400)+(57 - 32)\\ &=400+25\\ &=425 \end{align*}$$

Step2: Identify the digit in the hundredths place

In the decimal number \(0.54\), the first digit after the decimal is the tenths place (\(5\)) and the second digit is the hundredths place (\(4\)).

Step3: Complete the fact family

For the addition fact \(5 + 6=11\), the other related facts are \(11-5 = 6\), \(11 - 6=5\) and \(6+5 = 11\).

Step4: Multiply the numbers

\(90\times5=(9\times10)\times5=9\times(10\times5)=9\times50 = 450\)

Step5: Read the thermometer

The thermometer shows \(80\) (assuming the units are in a common scale like Fahrenheit or Celsius as per basic school - level problems).

Step6: Check the multiplication property

By the zero - product property, for any real number \(a\), \(a\times0 = 0\). So the statement “When you multiply any number by 0, the product is 0” is True.

Step7: Compare the numbers

Compare the two numbers \(8,015,943\) and \(8,019,435\) digit - by - digit.
Starting from the leftmost digit (the millions place, which is \(8\) for both), then the hundred - thousands place (\(0\) for both), then the ten - thousands place (\(1\) for both).
In the thousands place: \(5<9\). So \(8,015,943<8,019,435\)

Step8: Divide the numbers

\(26\div4 = 6\) with a remainder of \(2\), or in fraction form \(\frac{26}{4}=\frac{13}{2}=6.5\)

Step9: Solve the equation

Given \(10 + a=25\), subtract \(10\) from both sides: \(a=25 - 10=15\)

Step10: Check for line of symmetry

A line of symmetry divides a figure into two congruent parts. For the given trapezoid - like figure, the dashed line does not divide it into two congruent parts. So the answer is No.

Answer:

1. \(425\)
2. \(4\)
3. \(6 + 5=11\)
4. \(450\)
5. \(80\)
6. True
7. \(<\)
8. \(6.5\)
9. \(15\)
10. No