Chapter 1 Use Positive Rational Numbers
Page 55 Exercise 1 Answer
The definition of the product is the answer to a multiplication problem.
For example, the multiplication problem is 23 × 35.
The answer to the problem, that is the product is 805
Result
Product.
Page 55 Exercise 2 Answer
The definition of a dividend is the quantity to be divided.
For example, if the division problem is 32 ÷ 8, than the dividend is 32.
Result
Dividend.
Read And Learn More: enVisionmath 2.0 Grade 6 Volume 1 Solutions
Page 55 Exercise 3 Answer
A division expression can be rewritten as a multiplication expression, to do that you multiply by the reciprocal divisor.
For example,
\(\frac{3}{4} \div \frac{1}{2}=\frac{3}{4} \times \frac{2}{1}=\frac{3}{4} \times 2\)Result
Reciprocal.
Page 56 Exercise 1 Answer
To add or subtract decimals, line up the decimal points so that place-value positions correspond. Add or subtract as you would with whole numbers, and place the decimal point in the answer.
Result
181.1
Page 56 Exercise 2 Answer
To add or subtract decimals, line up the decimal points so that place-value positions correspond. Add or subtract as you would with whole numbers, and place the decimal point in the answer.
Result
893.5
Page 56 Exercise 3 Answer
To multiply decimals, multiply as you would with whole numbers, then place the decimal point in the product by starting at the right and counting the number of places equal to the sum of the number of decimal places in each factor.
5 x 98.2
Result
491
Page 56 Exercise 4 Answer
To multiply decimals, multiply as you would with whole numbers, then place the decimal point in the product by starting at the right and counting the number of places equal to the sum of the number of decimal places in each factor.
4 x 0.21
Result
0.84
Page 56 Exercise 5 Answer
To add or subtract decimals, line up the decimal points so that place-value positions correspond. Add or subtract as you would with whole numbers, and place the decimal point in the answer.
62.99 – 10.83
Result
52.16
Page 56 Exercise 6 Answer
To add or subtract decimals, line up the decimal points so that place-value positions correspond. Add or subtract as you would with whole numbers, and place the decimal point in the answer.
Result
521.52
Page 56 Exercise 7 Answer
To multiply decimals, multiply as you would with whole numbers, then place the decimal point in the product by starting at the right and counting the number of places equal to the sum of the number of decimal places in each factor.
4.4 x 6
Result
26.4
Page 56 Exercise 8 Answer
To multiply decimals, multiply as you would with whole numbers, then place the decimal point in the product by starting at the right and counting the number of places equal to the sum of the number of decimal places in each factor.
7 x 21.6
Result
151.2
Page 56 Exercise 9 Answer
To add or subtract decimals, line up the decimal points so that place-value positions correspond. Add or subtract as you would with whole numbers, and place the decimal point in the answer.
Result
14.92
Page 56 Exercise 10 Answer
To add or subtract decimals, line up the decimal points so that place-value positions correspond. Add or subtract as you would with whole numbers, and place the decimal point in the answer.
Result
401.87
Page 56 Exercise 11 Answer
To multiply decimals, multiply as you would with whole numbers, then place the decimal point in the product by starting at the right and counting the number of places equal to the sum of the number of decimal places in each factor.
12.5 x 163.2
Result
2040
Page 56 Exercise 12 Answer
To multiply decimals, multiply as you would with whole numbers, then place the decimal point in the product by starting at the right and counting the number of places equal to the sum of the number of decimal places in each factor.
16 x 52.3
Result
836.8
Page 56 Exercise 13 Answer
To add or subtract decimals, line up the decimal points so that place-value positions correspond. Add or subtract as you would with whole numbers, and place the decimal point in the answer.
Result
557
Page 56 Exercise 14 Answer
To add or subtract decimals, line up the decimal points so that place-value positions correspond. Add or subtract as you would with whole numbers, and place the decimal point in the answer.
Result
97.1
Page 56 Exercise 1 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
9.6 ÷ 1.6 = 96 ÷ 16
Then use an algorithm for whole-number division.
Result
6
Page 56 Exercise 2 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
48.4 ÷ 0.4 = 484 ÷ 4
Then use an algorithm for whole-number division.
Result
121
Page 56 Exercise 3 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
13.2 ÷ 0.006 = 13,200 ÷ 6
Then use an algorithm for whole-number division.
Result
2200
Page 56 Exercise 4 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
10.8 ÷ 0.09 = 1080 ÷ 9
Then use an algorithm for whole-number division.
Result
120
Page 56 Exercise 5 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
45 ÷ 4.5 = 450 ÷ 45
Then use an algorithm for whole-number division.
Result
10
Page 56 Exercise 6 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
1,008 ÷ 1.8 = 10,080 ÷ 18
Then use an algorithm for whole-number division.
Result
560
Page 56 Exercise 7 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
1.26 ÷ 0.2 = 12.6 ÷ 2
Then use an algorithm for whole-number division.
Result
6.3
Page 56 Exercise 8 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
2.24 ÷ 3.2 = 22.4 ÷ 32
Then use an algorithm for whole-number division.
Result
0.7
Page 56 Exercise 9 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
Result
0.65
Page 56 Exercise 10 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
Result
0.2
Page 56 Exercise 11 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
330 ÷ 5.5 = 3300 ÷ 55
Then use an algorithm for whole-number division.
Result
60
Page 56 Exercise 12 Answer
To divide decimals, multiply the divisor and the dividend by the same power of 10 so that the divisor is the whole number:
1.08 ÷ 0.027 = 1080 ÷ 27
Then use an algorithm for whole-number division.
Result
40
Page 57 Exercise 1 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(\frac{2}{3} \times \frac{3}{8}=\frac{2 \times 3}{3 \times 8}=\frac{6}{24}=\frac{1}{4}\)Result
\(\frac{1}{4}\)Page 57 Exercise 2 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(\frac{1}{4} \times \frac{3}{5}=\frac{1 \times 3}{4 \times 5}=\frac{3}{20}\)Result
\(\frac{3}{20}\)Page 57 Exercise 3 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(\frac{1}{6} \times \frac{1}{8}=\frac{1 \times 1}{6 \times 8}=\frac{1}{48}\)Result
\(\frac{1}{48}\)Page 57 Exercise 4 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(\frac{4}{7} \times \frac{4}{7}=\frac{4 \times 4}{7 \times 7}=\frac{16}{49}\)Result
\(\frac{16}{49}\)Page 57 Exercise 5 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(\frac{6}{7} \times \frac{1}{2}=\frac{6 \times 1}{7 \times 2}=\frac{6}{14}=\frac{3}{7}\)Result
\(\frac{3}{7}\)Page 57 Exercise 6 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(\frac{3}{8} \times \frac{8}{3}=\frac{3 \times 8}{8 \times 3}=\frac{24}{24}=1\)Result
1
Page 57 Exercise 7 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(\frac{2}{3} \times \frac{1}{3}=\frac{2 \times 1}{3 \times 3}=\frac{2}{9}\)Result
\(\frac{2}{9}\)Page 57 Exercise 8 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(\frac{7}{8} \times \frac{3}{2}=\frac{7 \times 3}{8 \times 2}=\frac{21}{16}\)Result
\(\frac{21}{16}\)Page 57 Exercise 9 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(2 \frac{1}{3} \times 4 \frac{1}{5}=\frac{7}{3} \times \frac{21}{5}=\frac{7 \times 21}{3 \times 5}=\frac{147}{15}=\frac{49}{5}=\frac{45}{5}+\frac{4}{5}=9 \frac{4}{5}\)Result
\(9 \frac{4}{5}\)Page 57 Exercise 10 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(4 \frac{1}{2} \times 6 \frac{2}{3}=\frac{9}{2} \times \frac{20}{3}=\frac{9 \times 20}{2 \times 3}=\frac{180}{6}=30\)Result
30
Page 57 Exercise 11 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(3 \frac{3}{5} \times 2 \frac{5}{7}=\frac{18}{5} \times \frac{19}{7}=\frac{18 \times 19}{5 \times 7}=\frac{342}{35}=\frac{315}{35}+\frac{27}{35}=9 \frac{27}{35}\)Result
\(9 \frac{27}{35}\)Page 57 Exercise 11 Answer
Multiply the numerators to find the numerator of the product. Multiply the denominators to find the denominator of the product.
\(14 \frac{2}{7} \times 4 \frac{3}{10}=\frac{100}{7} \times \frac{43}{10}=\frac{100 \times 43}{7 \times 10}=\frac{4300}{70}=\frac{4270}{70}+\frac{30}{70}=61 \frac{3}{7}\)Result
\(61 \frac{3}{7}\)Page 57 Exercise 1 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(7 \div \frac{1}{2}=\frac{7}{1} \times \frac{2}{1}=\frac{7 \times 2}{1 \times 1}=\frac{14}{1}=14\)Result
14
Page 57 Exercise 2 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(6 \div \frac{2}{5}=\frac{6}{1} \times \frac{5}{2}=\frac{6 \times 5}{1 \times 2}=\frac{30}{2}=15\)Result
15
Page 57 Exercise 3 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(2 \div \frac{1}{8}=\frac{2}{1} \times \frac{8}{1}=\frac{2 \times 8}{1 \times 1}=\frac{16}{1}=16\)Result
16
Page 57 Exercise 4 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(8 \div \frac{4}{9}=\frac{8}{1} \times \frac{9}{4}=\frac{8 \times 9}{1 \times 4}=\frac{72}{4}=18\)Result
18
Page 57 Exercise 5 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(\frac{1}{2} \div \frac{1}{4}=\frac{1}{2} \times \frac{4}{1}=\frac{1 \times 4}{2 \times 1}=\frac{4}{2}=2\)Result
2
Page 57 Exercise 6 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(\frac{8}{10} \div \frac{1}{5}=\frac{8}{10} \times \frac{5}{1}=\frac{8 \times 5}{10 \times 1}=\frac{40}{10}=4\)Result
4
Page 57 Exercise 7 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(\frac{5}{6} \div \frac{3}{8}=\frac{5}{6} \times \frac{8}{3}=\frac{5 \times 8}{6 \times 3}=\frac{40}{18}=\frac{20}{9}=\frac{18}{9}+\frac{2}{9}=2 \frac{2}{9}\)Result
\(2 \frac{2}{9}\)Page 57 Exercise 8 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(\frac{1}{3} \div \frac{1}{2}=\frac{1}{3} \times \frac{2}{1}=\frac{1 \times 2}{3 \times 1}=\frac{2}{3}\)Result
\(\frac{2}{3}\)Page 57 Exercise 9 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(5 \div \frac{5}{16}=\frac{5}{1} \times \frac{16}{5}=\frac{5 \times 16}{1 \times 5}=\frac{80}{5}=16\)Result
16
Page 57 Exercise 10 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(\frac{7}{12} \div \frac{3}{4}=\frac{7}{12} \times \frac{4}{3}=\frac{7 \times 4}{12 \times 3}=\frac{28}{36}=\frac{7}{9}\)Result
\(\frac{7}{9}\)Page 57 Exercise 11 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(20 \div \frac{5}{6}=\frac{20}{1} \times \frac{6}{5}=\frac{20 \times 6}{1 \times 5}=\frac{120}{5}=24\)Result
24
Page 57 Exercise 12 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(16 \div \frac{1}{4}=\frac{16}{1} \times \frac{4}{1}=\frac{16 \times 4}{1 \times 1}=\frac{64}{1}=64\)Result
64
Page 57 Exercise 13 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(\frac{4}{5} \div \frac{1}{8}=\frac{4}{5} \times \frac{8}{1}=\frac{4 \times 8}{5 \times 1}=\frac{32}{5}=\frac{30}{5}+\frac{2}{5}=6 \frac{2}{5}\)Result
\(6 \frac{2}{5}\)Page 57 Exercise 14 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(5 \div \frac{1}{10}=\frac{5}{1} \times \frac{10}{1}=\frac{5 \times 10}{1 \times 1}=\frac{50}{1}=50\)Result
50
Page 57 Exercise 15 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(\frac{7}{11} \div \frac{1}{11}=\frac{7}{11} \times \frac{11}{1}=\frac{7 \times 11}{11 \times 1}=\frac{77}{11}=7\)Result
7
Page 57 Exercise 16 Answer
To divide by a fraction, use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(4 \div \frac{2}{8}=\frac{4}{1} \times \frac{8}{2}=\frac{4 \times 8}{1 \times 2}=\frac{32}{2}=16\)Result
16
Page 58 Exercise 1 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(6 \frac{3}{8} \div 4 \frac{1}{4}=\frac{51}{8} \div \frac{17}{4}=\frac{51}{8} \times \frac{4}{17}=\frac{51 \times 4}{8 \times 17}=\frac{204}{136}=\frac{51}{34}=\frac{34}{34}+\frac{17}{34}=1 \frac{17}{34}=1 \frac{1}{2}\)Result
\(1 \frac{1}{2}\)Page 58 Exercise 2 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(9 \div 2 \frac{2}{7}=\frac{9}{1} \div \frac{16}{7}=\frac{9}{1} \times \frac{7}{16}=\frac{9 \times 7}{1 \times 16}=\frac{63}{16}=\frac{48}{16}+\frac{15}{16}=3 \frac{15}{16}\)Result
\(3 \frac{15}{16}\)Page 58 Exercise 3 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(3 \frac{3}{5} \div 1 \frac{1}{5}=\frac{18}{5} \div \frac{6}{5}=\frac{18}{5} \times \frac{5}{6}=\frac{18 \times 5}{5 \times 6}=\frac{90}{30}=3\)Result
3
Page 58 Exercise 4 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(5 \frac{1}{2} \div 3 \frac{3}{8}=\frac{11}{2} \div \frac{27}{8}=\frac{11}{2} \times \frac{8}{27}=\frac{11 \times 8}{2 \times 27}=\frac{88}{54}=\frac{44}{27}=\frac{27}{27}+\frac{17}{27}=1 \frac{17}{27}\)Result
\(1 \frac{17}{27}\)Page 58 Exercise 5 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(3 \frac{2}{5} \div 1 \frac{1}{5}=\frac{17}{5} \div \frac{6}{5}=\frac{17}{5} \times \frac{5}{6}=\frac{17 \times 5}{5 \times 6}=\frac{85}{30}=\frac{17}{6}=\frac{12}{6}+\frac{5}{6}=2 \frac{5}{6}\)Result
\(2 \frac{5}{6}\)Page 58 Exercise 6 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(12 \frac{1}{6} \div 3=\frac{73}{6} \div \frac{3}{1}=\frac{73}{6} \times \frac{1}{3}=\frac{73 \times 1}{6 \times 3}=\frac{73}{18}=\frac{72}{18}+\frac{1}{18}=4 \frac{1}{18}\)Result
\(4 \frac{1}{18}\)Page 58 Exercise 7 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(12 \div 1 \frac{1}{2}=\frac{12}{1} \div \frac{3}{2}=\frac{12}{1} \times \frac{2}{3}=\frac{12 \times 2}{1 \times 3}=\frac{24}{3}=8\)Result
8
Page 58 Exercise 8 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(3 \frac{1}{2} \div 2 \frac{1}{4}=\frac{7}{2} \div \frac{9}{4}=\frac{7}{2} \times \frac{4}{9}=\frac{7 \times 4}{2 \times 9}=\frac{28}{18}=\frac{14}{9}=\frac{9}{9}+\frac{5}{9}=1 \frac{5}{9}\)Result
\(1 \frac{5}{9}\)Page 58 Exercise 9 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(8 \div 1 \frac{1}{4}=\frac{8}{1} \div \frac{5}{4}=\frac{8}{1} \times \frac{4}{5}=\frac{8 \times 4}{1 \times 5}=\frac{32}{5}=\frac{30}{5}+\frac{2}{5}=6 \frac{2}{5}\)Result
\(6 \frac{2}{5}\)Page 58 Exercise 10 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(10 \frac{1}{2} \div 1 \frac{3}{4}=\frac{21}{2} \div \frac{7}{4}=\frac{21}{2} \times \frac{4}{7}=\frac{21 \times 4}{2 \times 7}=\frac{84}{14}=6\)Result
6
Page 58 Exercise 11 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(3 \frac{3}{4} \div 2 \frac{1}{2}=\frac{15}{4} \div \frac{5}{2}=\frac{15}{4} \times \frac{2}{5}=\frac{15 \times 2}{4 \times 5}=\frac{30}{20}=\frac{3}{2}=\frac{2}{2}+\frac{1}{2}=1 \frac{1}{2}\)Result
\(1 \frac{1}{2}\)Page 58 Exercise 12 Answer
To divide by a mixed number, rewrite each mixed number as a fraction. Then use the reciprocal of the divisor to rewrite the problem as a multiplication problem.
\(60 \div 3 \frac{1}{3}=\frac{60}{1} \div \frac{10}{3}=\frac{60}{1} \times \frac{3}{10}=\frac{60 \times 3}{1 \times 10}=\frac{180}{10}=18\)Result
18
Page 58 Exercise 1 Answer
To find how many \(\frac{3}{8}\) inch thick slices does Daisy have we must solve the following expression.
\(3 \div \frac{3}{8}+5 \div \frac{3}{8}\)Result
\(3 \div \frac{3}{8}+5 \div \frac{3}{8}\)Page 58 Exercise 2 Answer
\(3 \div \frac{3}{8}+5 \div \frac{3}{8}=\frac{3}{1} \div \frac{3}{8}+\frac{5}{1} \div \frac{3}{8}\)= \(\frac{3}{1} \times \frac{8}{3}+\frac{5}{1} \times \frac{8}{3}\)
= \(\frac{3 \times 8}{1 \times 3}+\frac{5 \times 8}{1 \times 3}\)
= \(\frac{24}{3}+\frac{40}{3}\)
= \(\frac{64}{3}\)
= \(\frac{63}{3}+\frac{1}{3}\)
= \(21 \frac{1}{3}\)
Daisy cut the 3 inches long cucumber into \(\frac{3}{8}\)-inch-thick slices, so she has \(\frac{24}{3}\) = 8 slices that are \(\frac{3}{8}\)-inch thick.
She cut the 5 inches long cucumber into \(\frac{3}{8}\) -inch- thick slices, so she has \(\frac{40}{3}\) slices.
When added, she has \(\frac{64}{3}\) = \(21 \frac{1}{3}\) slices of cucumber. The number of \(\frac{3}{8}\)-inch-thick slices must be a whole number so she has 21 slices that are \(\frac{3}{8}\) inch thick.
Result
21 slices
Page 59 Exercise 1 Answer
We need to find the path from start to finish by moving up, down, right or left. We need to always move to a solution that has a digit in the hundredths place that is greater than its digit in the tenths place.
We need to start at 22.04 x 9. Multiplying gives:
From here, we can only move down or right. Dividing 28 and 25 gives:
The hundredths digit of 2 is greater than the tenths digit of 1 so we need to move down. Shade the square for 25)28. From here we can either move down or to the right. Multiplying 12.4 and 14.6 gives:
The hundredths digit of 4 is greater than the tenths digit of 0 so we need to move down. Shate the square for 12.4 x 14.6
From here we can either move down or to the right. Dividing 2.314 and 1.3 gives:
The hundredths digit of 8 is greater than the tenths digit of 7 so we need to move right. Shade the square for 1.3)2.314. From here we can either move down, right, or up. Multiplying 86.35 and 7 gives:
The hundredths digit of 5 is greater than the tenths digit of 4 so we need to move right. Shade the square for 86.35 x 7. From here we can either move down, right, or up. Dividing 23.35 and 2.5 gives:
The hundredths digit of 4 is greater than the tenths digit of 3 so we need to move up. Shade the square for 2.5)23.35
From here we can move up, left, or right. Multiplying 53.08 and 2.4 gives:
The hundredths digit of 9 is greater than the tenths digit of 3 so we need to move up. Shade the square for 53.08 x 2.4. From here we can only move left or right. Multiplying 0.18 and 1.5 gives:
The hundredths digit of 7 is greater than the tenths digit of 2 so we need to move right. Shade the square for 0.18 x 1.5. From here we can only move down or right. Dividing 0.28 and 7 gives:
The hundredths digit of 4 is greater than the tenths digit of 0 so we need to move right. Shade the square for 7)0.28
From here we can only move down. Multiply 0.9 and 0.27 to verify its hundredths digit is greater than its tenths digit gives:
The hundredths digit of 4 is greater than the tenths digit of 2 so shade 0.9 x 0.27. From here we can only move left or down. Dividing 72.72 and 6 gives:
The hundredths digit of 2 is greater than the tenths digit of 1 so share 6)72.72. From here we can only move left or down. Dividing 18 and 75 gives:
The hundredths digit of 4 is greater than the tenths digit of 2 so shade 75)18. From here we can move left or down. Multiplying 22.3 and 1.8 gives:
The hundredths digit of 4 is greater than the tenths digit of 1 so shade the finish square 22.3 x 1.8
Result
Shade the following: Shade the following: 22.04 × 9, 25)28, 12.4 × 14.6, 1.3)2.314, 86.35 × 7, 2.5)23.35,53.08 × 2.4, 0.18 × 1.5, 7)0.28, 0.9 × 0.27, 6)72.72, 75)18, and 22.3 × 1.8