over the summer, michelle read 7 books. her sister read 3 times as many books as she did. how many books did…
over the summer, michelle read 7 books. her sister read 3 times as many books as she did. how many books did michelles sister read?\nlast week, michael walked 2 miles. samantha walked twice as long. how long did samantha walk?\nwrite the numbers in expanded form:\n5,856\n3,952\n306\ndetermine whether the fractions are less than, equal to, or greater than 1/2. prove your answers.\n5/10\n1/4\n3/5\ndraw three different acute angles. what characteristic determines if an angle is acute?\ndraw a pair of perpendicular lines. what does it mean for two lines to be perpendicular?
Answer
1. Number of books Michelle's sister read
Explanation:
Step1: Identify the operation
Multiply Michelle's books by 3. $7\times3$
Step2: Calculate the result
$7\times3 = 21$
Answer:
21
2. Distance Samantha walked
Explanation:
Step1: Identify the operation
Multiply Michael's distance by 2. $2\times2$
Step2: Calculate the result
$2\times2=4$
Answer:
4
3. Expanded - form of numbers
For 5.856
Explanation:
Step1: Break down each digit's place - value
$5\times1 + 8\times\frac{1}{10}+5\times\frac{1}{100}+6\times\frac{1}{1000}$
Answer:
$5 + 0.8+0.05 + 0.006$
For 3,952
Explanation:
Step1: Break down each digit's place - value
$3\times1000+9\times100 + 5\times10+2\times1$
Answer:
$3000 + 900+50 + 2$
For 306
Explanation:
Step1: Break down each digit's place - value
$3\times100+0\times10 + 6\times1$
Answer:
$300+6$
4. Comparing fractions to $\frac{1}{2}$
For $\frac{5}{10}$
Explanation:
Step1: Simplify the fraction
$\frac{5}{10}=\frac{1}{2}$
Answer:
Equal to $\frac{1}{2}$
For $\frac{1}{4}$
Explanation:
Step1: Find a common denominator
$\frac{1}{2}=\frac{2}{4}$, and $\frac{1}{4}<\frac{2}{4}$
Answer:
Less than $\frac{1}{2}$
For $\frac{3}{5}$
Explanation:
Step1: Find a common denominator
$\frac{1}{2}=\frac{5}{10}$, $\frac{3}{5}=\frac{6}{10}$, and $\frac{6}{10}>\frac{5}{10}$
Answer:
Greater than $\frac{1}{2}$
5. Acute angles
Brief Explanations:
An acute angle is an angle whose measure is less than 90 degrees. To draw three different acute - angles, one can draw angles of, for example, 30 degrees, 45 degrees, and 60 degrees using a protractor.
Answer:
An acute angle has a measure less than 90 degrees.
6. Perpendicular lines
Brief Explanations:
Two lines are perpendicular if they intersect at a right angle (90 - degree angle). To draw a pair of perpendicular lines, one can use a right - angled object (like a set - square) or a protractor to ensure the angle between the two lines is 90 degrees.
Answer:
Two lines are perpendicular when they intersect at a 90 - degree angle.