Counseling Chapter 2 Homework Describe the decimal system and explain how to work

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CORE CURRICULUM

Introduction to Construction Math 00102-15

CORE CURRICULUM

Introduction to Construction Math 00102-15

Session 2: Decimals; Taking Measurements

Session Two Objectives

When trainees have completed this session, they should be able to do

the following:

3. Describe the decimal system and explain how to work with decimals.

a. Describe decimals and their place values.

Introduction to Construction Math 00102–15

Section 3.1.0 –Decimals

Remember that place values extend in both directions

of the decimal point, like this:

0.56

Introduction to Construction Math 00102-15

ROUNDING

The number 212.7659574 can be rounded to any place value

needed. See if each of these steps appear to be correct:

212.765957

Section 3.1.1 –Decimals

Section 3.1.3 –Decimals

Identify the words that represent the proper way to speak

the decimal value shown.

3. 2.5 = _____.

a. two and five-tenths

Introduction to Construction Math 00102–15

Section 3.1.3 –Decimals

Introduction to Construction Math 00102–15

Select the answer that places the decimals in order from

smallest to largest.

6. 0.400, 0.004, 0.044, and 0.404

Sections 3.2.2 and 3.2.3 –Decimals

MULTIPLYING DECIMALS

•Set the problem up the same as you would for multiplying whole

numbers. Multiply as usual.

•Here is an example of a problem with a number of decimal places:

Introduction to Construction Math 00102–15

Sections 3.2.2 and 3.2.3 –Decimals

Introduction to Construction Math 00102–15

DIVIDING DECIMALS

•With a decimal point in the dividend only, transfer it straight up to the

Section 3.2.5 –Decimals

5. Yesterday, a lumber yard contained 6.7 tons of wood.

Since then, 2.3 tons were removed. How many tons of

wood remain?

a. 3.4 tons

Sections 3.3.1 and 3.3.2 –Decimals and Fractions

The tank is half full. As a fraction, it is 1⁄2 full. As a decimal, it is written as

0.50. To change the decimal to a percentage, simply move the decimal

point two places to the right. The result is 50%.

Introduction to Construction Math 00102-15

Sections 3.3.1 and 3.3.2 –Decimals and Fractions

Introduction to Construction Math 00102-15

CONVERTING FRACTIONS TO DECIMALS

•Remember that a fraction is merely a division problem written

•Move the decimal point to the upper line and complete the

problem:

Sections 3.3.3 and 3.3.4 –Decimals and Fractions

CONVERTING DECIMALS TO FRACTIONS

Step 1 Say the decimal in words.

Step 2 Write the decimal as a fraction, just like it was spoken.

Step 3 Reduce the fraction to its lowest terms.

Introduction to Construction Math 00102–15

Sections 3.3.3 and 3.3.4 –Decimals and Fractions

Introduction to Construction Math 00102–15

CONVERTING INCHES TO DECIMAL EQUIVALENTS

•Convert 3 inches to a fraction. Since a foot has 12

Section 3.3.5 –Conversions

Convert the following fractions to their decimal equivalents

without using a calculator.

6. 1⁄4 = _____

Introduction to Construction Math 00102–15

0.25

Sections 4.1.1 and 4.1.2 –Measuring

1/16″ increments are common on English rulers. Smaller increments are

Introduction to Construction Math 00102-15

Section 4.1.3 –Measuring

Introduction to Construction Math 00102-15

Section 4.1.3 –Measuring

Introduction to Construction Math 00102-15

Section 4.1.3 –Measuring

Introduction to Construction Math 00102-15

Section 4.2.1 –Measuring

The red and black number sets allow the user to

Introduction to Construction Math 00102-15

Section 4.2.4 –Fractions

8-13/16″ 9-13/16″ 10-7/8″

Section 4.2.4 –Fractions

Introduction to Construction Math 00102-15

Next Session…

UNITS OF MEASUREMENT; GEOMETRY

Introduction to Construction Math 00102–15