We included **HMH Into Math Grade 3 Answer Key PDF** **Module 13 Lesson 7 Use Fractions to Measure Lengths **to make students experts in learning maths.

## HMH Into Math Grade 3 Module 13 Lesson 7 Answer Key Use Fractions to Measure Lengths

I Can measure lengths to the nearest half or fourth of an inch using a ruler.

**Spark Your Learning**

Sia needs to measure the length of the carrots that she is growing for a science experiment.

About how long is each of Sia’s carrots?

Answer:

First of all, we have to measure with scale then we get to know how long they are.

Measure the carrots.

– After measuring each whole length and record in a chart.

– compare and contrast which units are the most precise length and how the measurements compare when you’re focusing on a specific fraction of an inch.

**Turn and Talk** How did you decide on a measurement when the length of the carrot was between two markings on the ruler?

Answer:

– Represent the parts of a whole.

– Are written like a/b, when the whole is divided into b sections and there are an of those sections.

– Can be added together if the bottoms [denominators] are the same, by adding the tops [numerators].

– A bigger bottom means a smaller amount, a bigger top means a larger amount.

There will be markings that line up the carrot end of the carrot with the zero mark on the ruler. It is easy to identify.

**Build Understanding**

Question 1.

Measure the length of a leaf. Use a ruler marked with half inches.

A. Line up the left end of the leaf with the zero mark on the ruler.

Answer:

The length of the leaf is 2.7 inches.

Every blue line represents according to the lengths.

– Represent the parts of a whole.

– Are written like a/b, when the whole is divided into b sections and there are an of those sections.

– Can be added together if the bottoms [denominators] are the same, by adding the tops [numerators].

– A bigger bottom means a smaller amount, a bigger top means a larger amount.

The first blue line represents 0.5 inches

– The next line which is between 1 and 2 is 1.5 inches.

– The next line is between 2 and 3 is 2.5 inches.

– The next line is between 3 and 4 is 3.5 inches.

Now it’s very easy to identify the length of the leaf which is 2.7 inches.

B. What length does the mark on the ruler between 1 and 2 show? How do you know?

Answer:

The length between 1 and 2 is 1.5

The 1/2 inch marks will be the second-longest lines on the ruler, half as long as the inch marks. Each 1/2 inch mark will come midway between each inch number because it is half of an inch. This means that marks directly between the 0 and 1 inch, 1 and 2 inches.

C. Label each of the other marks on the ruler with a fraction or a mixed number.

Answer:

The 1/2 inch marks will be the second-longest lines on the ruler, half as long as the inch marks. Each 1/2 inch mark will come midway between each inch number because it is half of an inch. This means that marks directly between the 0 and 1 inch, 1 and 2 inches, 2 and 3 inches, and so on across the ruler, are the 1/2 inch marks. In total, there are 24 of these marks on a 12-inch ruler.

A ruler is made up of 12-inch marks. These are typically the numbered marks on the ruler and are denoted by the longest lines on the ruler. For example, if you need to measure a nail, place one end directly on the left side of the ruler. If it ends directly above the long line next to the large number 5, then the nail is 5 inches long. Some rulers will also denote 1/2 inches with numbers, so make sure you are using the largest numbers with the longest lines as your inch markers.

D. Between which two marks does the right end of the leaf line up?

Between _______ and ________ inches

Answer: 1 and 3

Observe the ruler and the blue dots.

– Make sure you read the ruler from left to right. If you are measuring something, align it with the left side of the zero mark on the ruler. The left side of the line where the object ends will be its measurement in inches.

E. Which mark is closer to the right end of the leaf? ________ inches

Answer: 3 inches.

The length of the leaf is 2.7 inches which are nearest to the 3rd inch.

F. What is the length of the leaf to the nearest half-inch?

________ inches

Answer: 2.5 inches.

The length of the leaf to the nearest half-inch is 2.5

The 1/2 inch marks will be the second-longest lines on the ruler, half as long as the inch marks. Each 1/2 inch mark will come midway between each inch number because it is half of an inch. This means that marks directly between the 0 and 1 inch, 1 and 2 inches, 2 and 3 inches, and so on across the ruler, are the 1/2 inch marks.

**Turn and Talk** How is a ruler like a number line? Explain.

Answer: A ruler is a picture of a graduated straight line that serves as an abstraction for real numbers.

– This ruler uses inches, as it’s divided into 12 equally spaced areas.

– Now, notice the lines between each inch, with some longer and some shorter than others. Each of these tiny lines represents a fraction of an inch. There are 5 different lengths of lines in total.

– Each inch is divided into 16 lines, meaning that the space between each line is 1/16 inch long—this is the smallest length you can measure with a ruler.

– The inch is the biggest unit on a ruler and is represented by the longest line**. **Each 1-inch line is labelled with a number indicating what inch it is on the ruler.

**Step It Out**

Question 2.

Measure the length of this carrot to the nearest fourth, or quarter inch.

A ruler showing fourths is like a number line that is divided into fourths.

A. Line up the left end of the carrot with the zero mark on the ruler.

Answer:

Halfway in between each 1/2 inch line, there will be a smaller line that denotes a 1/4 of an inch. In the first inch, these marks will mark 1/4, 1/2, 3/4, and 1 inch. Although the 1/2 inch and 1-inch marks have their own lines, they are still part of the 1/4 of inch measurements because 2/4 of an inch equals half an inch and 4/4 of an inch equals 1 inch.

The length of the carrot is 3 1/4 inches.

B. The right end of the carrot is between _________ and ________ inches.

Answer: The right end of the carrot is between 1 and 4

C. Which fourth-inch mark is closer to the right end of the carrot? _________ inch mark

Answer: 3/4 inch mark is closer to the right end of the carrot.

D. The length of the carrot to the nearest fourth inch is _________ inches.

Answer: The length of the carrot to the nearest fourth inch is

Halfway in between each 1/2 inch line, there will be a smaller line that denotes a 1/4 of an inch. In the first inch, these marks will mark 1/4, 1/2, 3/4, and 1 inch. Although the 1/2 inch and 1-inch marks have their own lines, they are still part of the 1/4 of inch measurements because 2/4 of an inch equals half an inch and 4/4 of an inch equals 1 inch.

**Turn and Talk** Where is the zero mark on the ruler? How do you know?

Answer: We should start measuring the line only from the zero mark on the ruler.

– Make sure you read the ruler from left to right. If you are measuring something, align it with the left side of the zero mark on the ruler. The left side of the line where the object ends will be its measurement in inches.

**Check Understanding**

**Use a ruler marked with half inches. Measure.**

Question 1.

What is the length of the stick to the nearest half-inch?

Answer:

The 1/2 inch marks will be the second-longest lines on the ruler, half as long as the inch marks. Each 1/2 inch mark will come midway between each inch number because it is half of an inch. This means that marks directly between the 0 and 1 inch, 1 and 2 inches, 2 and 3 inches, and so on across the ruler, are the 1/2 inch marks. In total, there are 24 of these marks on a 12-inch ruler.

Place the ruler against the stick at the far left of the ruler. Mark where the tip of the stick lead ends on the ruler. If the sticking point ends at the shorter line halfway between the 3 and 4 inches marks, then your stick is 3 and 1/2 inches long.

**On Your Own**

Question 2.

**Critique Reasoning** Alma and Rex both measure the same pen. Alma says the pen is about 5\(\frac{1}{2}\) inches long. Rex says the pen is about 5\(\frac{1}{2}\) inches long. Can both students be correct? Explain.

Answer: yes, both are correct. Because Alma and Rex got the same measurement that is 5 1/2 inches.

When Alma measured the pen she got 5 1/2 inches.

And Rex measured she got 5 1/2 inches.

**Use a ruler marked with fourth inches for 3-5. Measure.**

Question 3.

What is the length of the nut pin to the nearest half inch?

Answer:

The 1/2 inch marks will be the second-longest lines on the ruler, half as long as the inch marks. Each 1/2 inch mark will come midway between each inch number because it is half of an inch. This means that marks directly between the 0 and 1 inch, 1 and 2 inches, 2 and 3 inches, and so on across the ruler, are the 1/2 inch marks. In total, there are 24 of these marks on a 12-inch ruler.

Place the ruler against the nut at the far left of the ruler. Mark where the tip of the nut lead ends on the ruler. If the sticking point ends at the shorter line halfway between the 1 and 2 inches marks, then your stick is 1 and 1/2 inches long.

Question 4.

What is the length of the safety to the nearest fourth inch?

Answer:

Halfway in between each 1/2 inch line, there will be a smaller line that denotes a 1/4 of an inch. In the first inch, these marks will mark 1/4, 1/2, 3/4, and 1 inch. Although the 1/2 inch and 1-inch marks have their own lines, they are still part of the 1/4 of inch measurements because 2/4 of an inch equals half an inch and 4/4 of an inch equals 1 inch. if you measure a pin and the tip falls on the line halfway between the 2 1/2 and 3-inch lines, the carrot is 2 and 3/4 inches long.

Question 5.

Draw a line that is 4\(\frac{3}{4}\) inches in length.

Answer:

We have to measure the length of the string and then divide it by four.

Halfway in between each 1/2 inch line, there will be a smaller line that denotes a 1/4 of an inch. In the first inch, these marks will mark 1/4, 1/2, 3/4, and 1 inch. Although the 1/2 inch and 1-inch marks have their own lines, they are still part of the 1/4 of inch measurements because 2/4 of an inch equals half an inch and 4/4 of an inch equals 1 inch. There are a total of 48 of these marks on a 12-inch ruler.

**I’m in a Learning Mindset!**

How does using a ruler help me better understand measuring with fractions?

Answer:

– When you are measuring lengths with a ruler, use tick marks on the ruler to help you determine the fractional amount.

– Or if you are using a yardstick or meter stick, make sure you use the metric system to measure your distance.

– yardstick is also known as a stick, pole, rod etc.