Class 6 Mathematics: Integers, Decimals, and Fractions

To convert 21/20 to a decimal, divide 21 by 20. This is equivalent to 105/100, which equals 1.05.

The question asks to express 4730 in kg, but the unit of the input is missing. Assuming the input is 4730 grams, dividing by 1000 gives 4.73 kg.

Subtracting 4.56 from 29.35 involves aligning the decimal points. 29.35 - 4.56 = 24.79.

Since the fractions have a common denominator of 3, add the numerators: 2 + 1 + 7 = 10. The result is 10/3.

1.44 divided by 1.2 is the same as 14.4 divided by 12. 14.4 / 12 = 1.2.

Multiplying 0.023 by 10000 shifts the decimal point 4 places to the right. 0.023 * 10000 = 230.

In the number 5.32, the 2 is in the hundredths place. Therefore, its place value is 2/100 or 0.02.

To find 3/4 of 24, multiply 24 by 3/4. (24 / 4) * 3 = 6 * 3 = 18.

The whole orange is represented by 1. If Anjali ate 3/5, the remaining part is 1 - 3/5 = 2/5.

Convert 1/2 to 2/4 so the denominators match. 2/4 - 1/4 = 1/4.

An equivalent fraction is found by multiplying the numerator and denominator by the same number. 3/5 = 6/10, 9/15, 12/20. 15/24 simplifies to 5/8, which is not 3/5.

Divide both the numerator and denominator by their greatest common divisor, which is 14. 14 / 14 = 1 and 112 / 14 = 8. The simplest form is 1/8.

2 + 0.3 + 0.004 = 2.304.

Interpreting 1/7 - 5 as (1/7) - 5 = -34/7, its multiplicative inverse is -7/34. The multiplicative inverse of a fraction a/b is b/a.

-36 + 29 = -7.

Increasing order means values go from smallest to largest. -1, 0, 1 is the only sequence where each number is greater than the previous one.

On the number line, numbers to the right are greater. 0 is to the right of -1, so 0 > -1.

(-4) * [(-5) + (-3)] = (-4) * (-8) = 32.

The additive inverse of a number x is -x. The additive inverse of 15 is -15.

The property a * (b + c) = (a * b) + (a * c) is the definition of the distributive property of multiplication over addition.

(-50) / x = 5. Therefore, x = -50 / 5 = -10.

Any number multiplied by 0 is 0. Since the expression contains 0 as a factor, the entire product is 0.

Multiplying -1 by itself an even number of times results in 1. Since 10 is an even number, the product is 1.

The product of two negative integers is always a positive integer (e.g., -2 * -3 = 6).

Calculating both sides: (-8) + (-4) = -12, while (-8) - (-4) = -8 + 4 = -4. Since -12 is less than -4, the statement (-8) + (-4) < (-8) - (-4) is true.