299777
Which of the following statements is CORRECT?
1 14 tenths 4 thousandths= 0.144
2 2 tenths 13 hundredths= 0.213
3 4 hundredths 2 tenths= 0.024
4 7 tenths 17 hundredths= 0.87
Explanation:
7 tenths 17 hundredths= 0.87 Let us check with all options:(A) 14 tenths 4 thousandths \(= \frac{14}{10}+\frac{4}{1000}=\) 1.4 + 0.004 \( =\) 1.404. (B) 22 tenths 1313 hundredths \(= \frac{2}{10}+\frac{13}{100}=\) 0.33 (C) 44 hundredths 22 tenths\( =\frac{4}{100}+\frac{2}{10}=\) 0.24 (D) 77 tenths 1717 hundredths \(= \frac{7}{10}+\frac{17}{100}=\) 0.87.Hence, it is correct.
FRACTIONS and DECIMALS
299778
Mark \((\checkmark)\) against the correct answer in the following: 1.1 × 0.1 × 0.01 = ?
1 0.11
2 0.011
3 0.0011
4 None of these Exp: Solution: First, we will find the product 11 × 1 × 1 i.e., 11 × 1 × 1 = 11 × 1 = 11 Sum of decimal places in the given decimals = (1 + 1 + 2) = 4 1.1 × 0.1 × 0.01 = 0.0011 [4 places of decimal]
Explanation:
Solution: First, we will find the product 11 × 1 × 1 i.e., 11 × 1 × 1 = 11 × 1 = 11 Sum of decimal places in the given decimals = (1 + 1 + 2) = 4 1.1 × 0.1 × 0.01 = 0.0011 [4 places of decimal]
FRACTIONS and DECIMALS
299779
Which of the following is correct?
1 \(\frac{2}{3}<\frac{3}{5}<\frac{11}{5}\)
2 \(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\)
3 \(\frac{11}{15}<\frac{3}{5}<\frac{2}{3}\)
4 \(\frac{3}{5}<\frac{11}{15}<\frac{2}{3}\)
Explanation:
\(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\) Consider the fractions \(\frac{2}{3},\frac{3}{5}\) and \(\frac{11}{15}\) LCM of 3, 5 and 15 = 15 Firstly, convert the fractions into equivalent fractions with denominator 15 \(\Rightarrow\frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15}\) \(\Rightarrow\frac{3}{5}=\frac{3\times3}{5\times3}=\frac{9}{15}\) Now, \(9<10<11\) \(\therefore\ \frac{9}{15}<\frac{10}{15}<\frac{11}{15}\) \(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\)
FRACTIONS and DECIMALS
299780
Arrange in ascending order: 256.36, 256.56, 256.26, 256.46
1 256.36, 256.56, 256.26, 256.46
2 256.26, 256.56, 256.36, 256.46
3 256.36, 256.46, 256.26, 256.56
4 256.26, 256.36, 256.46, 256.56
Explanation:
256.26, 256.36, 256.46, 256.56 256.36,256.56,256.26,256.46 As integral part of all the numbers is same (256), we compare them by fractional part, greater the fractional part, greater is the number. In ascending order,256.26,256.36,256.46,256.56
299777
Which of the following statements is CORRECT?
1 14 tenths 4 thousandths= 0.144
2 2 tenths 13 hundredths= 0.213
3 4 hundredths 2 tenths= 0.024
4 7 tenths 17 hundredths= 0.87
Explanation:
7 tenths 17 hundredths= 0.87 Let us check with all options:(A) 14 tenths 4 thousandths \(= \frac{14}{10}+\frac{4}{1000}=\) 1.4 + 0.004 \( =\) 1.404. (B) 22 tenths 1313 hundredths \(= \frac{2}{10}+\frac{13}{100}=\) 0.33 (C) 44 hundredths 22 tenths\( =\frac{4}{100}+\frac{2}{10}=\) 0.24 (D) 77 tenths 1717 hundredths \(= \frac{7}{10}+\frac{17}{100}=\) 0.87.Hence, it is correct.
FRACTIONS and DECIMALS
299778
Mark \((\checkmark)\) against the correct answer in the following: 1.1 × 0.1 × 0.01 = ?
1 0.11
2 0.011
3 0.0011
4 None of these Exp: Solution: First, we will find the product 11 × 1 × 1 i.e., 11 × 1 × 1 = 11 × 1 = 11 Sum of decimal places in the given decimals = (1 + 1 + 2) = 4 1.1 × 0.1 × 0.01 = 0.0011 [4 places of decimal]
Explanation:
Solution: First, we will find the product 11 × 1 × 1 i.e., 11 × 1 × 1 = 11 × 1 = 11 Sum of decimal places in the given decimals = (1 + 1 + 2) = 4 1.1 × 0.1 × 0.01 = 0.0011 [4 places of decimal]
FRACTIONS and DECIMALS
299779
Which of the following is correct?
1 \(\frac{2}{3}<\frac{3}{5}<\frac{11}{5}\)
2 \(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\)
3 \(\frac{11}{15}<\frac{3}{5}<\frac{2}{3}\)
4 \(\frac{3}{5}<\frac{11}{15}<\frac{2}{3}\)
Explanation:
\(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\) Consider the fractions \(\frac{2}{3},\frac{3}{5}\) and \(\frac{11}{15}\) LCM of 3, 5 and 15 = 15 Firstly, convert the fractions into equivalent fractions with denominator 15 \(\Rightarrow\frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15}\) \(\Rightarrow\frac{3}{5}=\frac{3\times3}{5\times3}=\frac{9}{15}\) Now, \(9<10<11\) \(\therefore\ \frac{9}{15}<\frac{10}{15}<\frac{11}{15}\) \(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\)
FRACTIONS and DECIMALS
299780
Arrange in ascending order: 256.36, 256.56, 256.26, 256.46
1 256.36, 256.56, 256.26, 256.46
2 256.26, 256.56, 256.36, 256.46
3 256.36, 256.46, 256.26, 256.56
4 256.26, 256.36, 256.46, 256.56
Explanation:
256.26, 256.36, 256.46, 256.56 256.36,256.56,256.26,256.46 As integral part of all the numbers is same (256), we compare them by fractional part, greater the fractional part, greater is the number. In ascending order,256.26,256.36,256.46,256.56
299777
Which of the following statements is CORRECT?
1 14 tenths 4 thousandths= 0.144
2 2 tenths 13 hundredths= 0.213
3 4 hundredths 2 tenths= 0.024
4 7 tenths 17 hundredths= 0.87
Explanation:
7 tenths 17 hundredths= 0.87 Let us check with all options:(A) 14 tenths 4 thousandths \(= \frac{14}{10}+\frac{4}{1000}=\) 1.4 + 0.004 \( =\) 1.404. (B) 22 tenths 1313 hundredths \(= \frac{2}{10}+\frac{13}{100}=\) 0.33 (C) 44 hundredths 22 tenths\( =\frac{4}{100}+\frac{2}{10}=\) 0.24 (D) 77 tenths 1717 hundredths \(= \frac{7}{10}+\frac{17}{100}=\) 0.87.Hence, it is correct.
FRACTIONS and DECIMALS
299778
Mark \((\checkmark)\) against the correct answer in the following: 1.1 × 0.1 × 0.01 = ?
1 0.11
2 0.011
3 0.0011
4 None of these Exp: Solution: First, we will find the product 11 × 1 × 1 i.e., 11 × 1 × 1 = 11 × 1 = 11 Sum of decimal places in the given decimals = (1 + 1 + 2) = 4 1.1 × 0.1 × 0.01 = 0.0011 [4 places of decimal]
Explanation:
Solution: First, we will find the product 11 × 1 × 1 i.e., 11 × 1 × 1 = 11 × 1 = 11 Sum of decimal places in the given decimals = (1 + 1 + 2) = 4 1.1 × 0.1 × 0.01 = 0.0011 [4 places of decimal]
FRACTIONS and DECIMALS
299779
Which of the following is correct?
1 \(\frac{2}{3}<\frac{3}{5}<\frac{11}{5}\)
2 \(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\)
3 \(\frac{11}{15}<\frac{3}{5}<\frac{2}{3}\)
4 \(\frac{3}{5}<\frac{11}{15}<\frac{2}{3}\)
Explanation:
\(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\) Consider the fractions \(\frac{2}{3},\frac{3}{5}\) and \(\frac{11}{15}\) LCM of 3, 5 and 15 = 15 Firstly, convert the fractions into equivalent fractions with denominator 15 \(\Rightarrow\frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15}\) \(\Rightarrow\frac{3}{5}=\frac{3\times3}{5\times3}=\frac{9}{15}\) Now, \(9<10<11\) \(\therefore\ \frac{9}{15}<\frac{10}{15}<\frac{11}{15}\) \(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\)
FRACTIONS and DECIMALS
299780
Arrange in ascending order: 256.36, 256.56, 256.26, 256.46
1 256.36, 256.56, 256.26, 256.46
2 256.26, 256.56, 256.36, 256.46
3 256.36, 256.46, 256.26, 256.56
4 256.26, 256.36, 256.46, 256.56
Explanation:
256.26, 256.36, 256.46, 256.56 256.36,256.56,256.26,256.46 As integral part of all the numbers is same (256), we compare them by fractional part, greater the fractional part, greater is the number. In ascending order,256.26,256.36,256.46,256.56
299777
Which of the following statements is CORRECT?
1 14 tenths 4 thousandths= 0.144
2 2 tenths 13 hundredths= 0.213
3 4 hundredths 2 tenths= 0.024
4 7 tenths 17 hundredths= 0.87
Explanation:
7 tenths 17 hundredths= 0.87 Let us check with all options:(A) 14 tenths 4 thousandths \(= \frac{14}{10}+\frac{4}{1000}=\) 1.4 + 0.004 \( =\) 1.404. (B) 22 tenths 1313 hundredths \(= \frac{2}{10}+\frac{13}{100}=\) 0.33 (C) 44 hundredths 22 tenths\( =\frac{4}{100}+\frac{2}{10}=\) 0.24 (D) 77 tenths 1717 hundredths \(= \frac{7}{10}+\frac{17}{100}=\) 0.87.Hence, it is correct.
FRACTIONS and DECIMALS
299778
Mark \((\checkmark)\) against the correct answer in the following: 1.1 × 0.1 × 0.01 = ?
1 0.11
2 0.011
3 0.0011
4 None of these Exp: Solution: First, we will find the product 11 × 1 × 1 i.e., 11 × 1 × 1 = 11 × 1 = 11 Sum of decimal places in the given decimals = (1 + 1 + 2) = 4 1.1 × 0.1 × 0.01 = 0.0011 [4 places of decimal]
Explanation:
Solution: First, we will find the product 11 × 1 × 1 i.e., 11 × 1 × 1 = 11 × 1 = 11 Sum of decimal places in the given decimals = (1 + 1 + 2) = 4 1.1 × 0.1 × 0.01 = 0.0011 [4 places of decimal]
FRACTIONS and DECIMALS
299779
Which of the following is correct?
1 \(\frac{2}{3}<\frac{3}{5}<\frac{11}{5}\)
2 \(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\)
3 \(\frac{11}{15}<\frac{3}{5}<\frac{2}{3}\)
4 \(\frac{3}{5}<\frac{11}{15}<\frac{2}{3}\)
Explanation:
\(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\) Consider the fractions \(\frac{2}{3},\frac{3}{5}\) and \(\frac{11}{15}\) LCM of 3, 5 and 15 = 15 Firstly, convert the fractions into equivalent fractions with denominator 15 \(\Rightarrow\frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15}\) \(\Rightarrow\frac{3}{5}=\frac{3\times3}{5\times3}=\frac{9}{15}\) Now, \(9<10<11\) \(\therefore\ \frac{9}{15}<\frac{10}{15}<\frac{11}{15}\) \(\frac{3}{5}<\frac{2}{3}<\frac{11}{15}\)
FRACTIONS and DECIMALS
299780
Arrange in ascending order: 256.36, 256.56, 256.26, 256.46
1 256.36, 256.56, 256.26, 256.46
2 256.26, 256.56, 256.36, 256.46
3 256.36, 256.46, 256.26, 256.56
4 256.26, 256.36, 256.46, 256.56
Explanation:
256.26, 256.36, 256.46, 256.56 256.36,256.56,256.26,256.46 As integral part of all the numbers is same (256), we compare them by fractional part, greater the fractional part, greater is the number. In ascending order,256.26,256.36,256.46,256.56
