# Texas Go Math Grade 6 Module 4 Answer Key Multiplying and Dividing Decimals

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## Texas Go Math Grade 6 Module 4 Answer Key Multiplying and Dividing Decimals

Write the decimals represented by the shaded square.

Question 1.

We have that 10 squares are 10 of 100 equal parts, or $$\frac{10}{100}$$ or 0.1.
Here we have 70 shaded squares, so, they represent 7 × 0.1, or 0.7.

Question 2.

We have that 10 squares are 10 of 100 equal parts, or $$\frac{10}{100}$$ or 0.1.
Here we have 70 shaded squares, so, they represent 4 × 0.1, or 0.4.

Question 3.

We have that 1 square is 1 of 100 equal parts, or $$\frac{1}{100}$$, or 0.01.
Also, 10 squares are 10 of 100 equal parts, or $$\frac{10}{100}$$, or 0.1.
Here we have 53 shaded squares, we can rewrite them as 503.
So, 3 squares represent 3 × 0.01, or 0.03 and 50 squares represent 50 × 0.1, or 0.5.
Finally, 53 squares represent 0.03 + 0.5 = 0.53

Question 4.

Here, we have 100 shaded squares, they are 100 of 100 equal parts, or $$\frac{100}{100}$$, or 1.

Find the product.

Question 5.
0.49 × 10 ___________
Number of zeros in 10 is 1, so, we have to move the decimal point 1 place to the right and we get that the result is 4.9.

Question 6.
25.34 × 1,000 ___________
Number of zeros in 1000 is 3, so, we have to move the decimal point 3 places to the right and we get that the result is 25, 340
Here, because we had two decimal places, we added 0 at the third place because we moved decimal point 3 places.

Question 7.
87 × 100 ___________
Here, the number of zeros in 100 is 2. In this case we will add two zeros to 87 and get that the result is 8,700

Write a numerical expression for the word expression.

Question 8.
20 decreased by 8 _______________
Decreased means “to subtract 8 from 20”, so, required numerical expression would be 20 – 8.

Question 9.
the quotient of 14 and 7 _______
The quotient means the answer in division problem, so, required numerical expression would be $$\frac{14}{7}$$

Question 10.
the difference between 72 and 16 _________
The difference between two numbers means to subtract them, so, required expression would be 72 – 16.

Question 11.
the sum of 19 and 3 __________
The sum of two numbers means to add them, so, required expression would be 19 + 3.

Visualize Vocabulary

Use the ✓ words to complete the chart. You may put more than one word in each section.

Understand Vocabulary

Match the term on the left to the definition on the right.

We have the following:
Division is split something into equal groups, so, conclusion is that 1 matches to C.
Denominator is the bottom number in a fraction, so, 2 matches to A.
Quotient is the answer in a division problem, so, conclusion is that 3 matches to D.
Numerator is the top number in a fraction, so, conclusion is that 4 matches to B.

1 – C
2 – A
3 – D
4 – B

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